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Hello! I added an AI generated image to the article, because this is a subject where no image was present. Explaining the complex idea of the twin paradox requires a helping image, as this is a ], not something that has ''actually'' happened ever.
== Twin Paradox without acceleration ==


Using AI generated images for illustration purposes is not forbidden, (]) and, in this case, there's no free alternative nor artist illustrations for this topic. At ] we can read that "The purpose of an image is to increase readers' understanding of the article's subject matter, usually by directly depicting people, things, activities, and concepts described in the article.", which is exactly what this image is doing. ] (]) 06:21, 24 September 2024 (UTC)
This link: http://www.sysmatrix.net/~kavs/kjs/addend4.html goes through the twin paradox without acceleration and to me it seems closer to what Einstein was originally saying - that this all had to do with the speed of things in relation to each other, not acceleration - at least I hadn't heard him talk about acceleration being the key here. What think ye? --] 17:04, 16 May 2007 (UTC)


:About the image generated by artificial intelligence, here is my humble argument in favor/defense of the AI (in this case) ​​and the permanence of the image.
: That astronauts don't accelerate in this example, the but clocks do. As it is the clocks that are being tracked, it is their acceleration that matters. --] | ] 17:22, 16 May 2007 (UTC)
:Personally, I am in favor of keeping the image in question. helped me to understand the method adopted by the AI ​​when generating this image. I interpreted (with the help of the aforementioned comment) the apparently exaggerated difference between the ages shown in the image as an educational message. As if the AI ​​were showing the result if, hypothetically, the traveling twin had (without realizing it) exceeded/surpassed the speed of light and continued the trip normally (as if not, obeying the duration times predicted before the start of the trip). Although such an interpretation is beyond the basic proposal of the experiment, it is from my interpretative point of view that the image is extremely valuable as a learning mechanism. The choice of females to represent the twins in the paradox also impressed me a lot. ] (]) 23:44, 25 September 2024 (UTC)
::Agreed. I have reverted that removal because of its extremely clueless rationale:
::{{tqb|Misleading image shows vast age difference. 80 years in deep space or in orbit reduces aging by less than one second over an Earth-bound person by way of gravitational effect; and 80 years in the International Space Station reduces aging by less than two seconds by way of kinematical effect.}}
::Apparently ] missed both the fact that this article is about a thought experiment (rather than a specific calculation about the ISS or something) and that such large age differences have been used by physicists to illustrate the issue since at least ] in 1911, as mentioned in this article ({{tq|Upon return, the traveler will find that he has aged two years, while 200 years have passed on Earth}}). If Donbenladd thinks that all these physicists have been "misleading" the world for over a century and wants to educate the world on this personal theory, they should find a different venue than Misplaced Pages to publicize it (]).
::Regards, ] (]) 22:37, 26 September 2024 (UTC)
::Thanks @] for your comment. The prompt used helped with the age difference, because if you just write "some days older" you won't get any result. The prompt was ''The twin paradox. A twin comes from space travel and finds the other twin to be older. Two twins, one old, the other one dressed as an astronaut, young.''. ] (]) 17:35, 27 September 2024 (UTC)
:I am opposed to the image's inclusion. I don't think it adds much to the article and find it fairly garish – most of the image is superfluous AI hallucination (the spacesuit, the blue magic waves, spacecraft in the background). I think the article stands just fine without an image. If this article ''must'' be illustrated with an image, why not a side-by-side of Mark and Scott Kelly? <span title="Signature of Dan Leonard">— <span style="text-shadow: 2px 2px 8px lightskyblue, -2px -2px 8px forestgreen;font-weight:bold;">]</span> • ] • ]</span> 00:16, 27 September 2024 (UTC)
:: I too am opposed to the image's inclusion. I think it is ridiculous, and opens the door to more ridiculous images.] (]) 04:52, 27 September 2024 (UTC)
:::As for {{tq|garish}} and {{tq|ridiculous}}: Tastes obviously differ, but we are not hosting an art competition here where judges get to enforce their personal aesthetic preferences. Rather, what's important here is if the illustration is likely to help readers understand and remember important points about the article's subject. Lots of texts about relativity use artistic illustrations for that purpose (see e.g. the grotesquely shaped astronaut figures in NASA book.)
:::As for {{tq|opens the door}}, that seems to be a ] ] fallacy. (I mean, for sure not every article benefits from an AI-generated - or human-drawn - illustration. But these decisions need to be made on a case by case basis.)
:::Regards, ] (]) 06:17, 27 September 2024 (UTC)
::{{tq|why not a side-by-side of Mark and Scott Kelly?}} - is that a serious question? Basically for the same reason that Langevin and many other physicists who have discussed this thought experiment since him did ''not'' choose a realistic travel duration and speed: Because the effect would be indetectable to the human eye (three milliseconds age difference for the Kelly twins according to one estimate).
::As for {{tq|AI hallucination}}, that term does not quite make sense here (it's not a photo after all), and not presented as such. Maybe you mean that the illustration would be a bit clearer without that extra detail, which, OK, is a reasonable discussion to have - although I can also see an argument that e.g. the spacecraft help to illustrate the notion of long-distance space travel that is central to the thought experiment. But that's not an argument for assuming that the reader would be better off without any such illustration at all.
::Regards, ] (]) 06:09, 27 September 2024 (UTC)
::Ok! As visual content, I appreciated the art as a whole. But after spending last night talking to my imaginary friends, we came to the conclusion that it is best for me to change my mind and be in favor of not including the image. In favor/defense of those who oppose the inclusion of the image, I believe that the appropriate argumentative basis would be:
::* Possible incompatibility with the usage licenses adopted on Misplaced Pages.
::** Since it is an image generated by artificial intelligence, if it cannot be proven that the terms of use of the AI ​​that generated the image allow it to be republished under the license adopted by us (and that the image was, in fact, generated by such AI), we should not include it in the article (nor keep it on Commons).
::I believe that as a non-governmental, non-profit organization with academic purposes, we are even tolerated by the rest of society, but we cannot (at this time) enjoy this immunity in a way that is contrary to what we have already established as standard rules and ethics.
::Note: It's like explaining to an ex-girlfriend that the problem isn't her. Also saves bandwidth and storage space.
::I thank all the colleagues involved in this discussion (helped me reorganize my reasoning), but especially ], who understood and supported my apparently insane passion for AI-generated works and their "imperceptible flaws".
::If I remember correctly, {{Blockquote|"Intelligence is the ability to adapt to change."|Stephen Hawking}} ] (]) 13:39, 27 September 2024 (UTC)
:::{{tq| if it cannot be proven that the terms of use of the AI ​​that generated the image allow it to be republished under the license adopted by us}} - such speculative legal concerns have long been sorted out, see ] or its Commons ] (and its application to AI-generated media: ]). Similar for {{tq|and that the image was, in fact, generated by such AI}} - we don't require such proof for other kinds of image uploads. But in any case we happen to have such proof in this particular case, as the uploader helpfully linked the Bing Image Creator source page in the file description.
:::Regards, ] (]) 16:22, 27 September 2024 (UTC)
::::Indeed, uploading images created by AI is accepted, and now the Wikimedia Commons uploading wizard even has a check for AI generated images, where the generator used should be specified. However, I made some changes to the image myself, like deleting the US flag the original astronaut image had). ] (]) 17:39, 27 September 2024 (UTC)
::::My only concern was related to the legal aspect of the situation (I'm quite "lazy" when it comes to checking every detail). Since I've seen that my colleagues are experienced (most of them have more than 10 years of experience with Misplaced Pages), I have no intention of opposing whatever is decided.
::::The artistic appeal of the image is wonderful, but I believe that our traditional/conservative colleagues are defending the minimum necessary style (with only the necessary diagrams and calculations). Exactly how classes focused on exact sciences used to be.
::::Note: Impressive (about Bing Image Creator)... Before I gave up and went for Linux, Microsoft didn't allow it that way, so "easily". Thank goodness times are changing, for the better. I think we can go back to agreeing with the famous "Better together”. ] (]) 19:03, 27 September 2024 (UTC)
:::::]
:::::The French Misplaced Pages article '']'' uses diagrams with clocks to illustrate the paradox. These are drawn in a very simple style and could be structured more clearly, but are perhaps more educationally useful than a single drawing of the moment when a young astronaut meets their older twin. ] (]) 11:14, 28 September 2024 (UTC)
::::::I find the clocks very confusing in this illustration; in Theklan's AI image(s) it is much clearer that the space traveling twin is the one who aged less. I agree in principle that using more than one image in the illustration (or even an animation?) could be worth exploring. Regards, ] (]) 12:10, 28 September 2024 (UTC)
::::::I agree with this. The standard illustration of this paradox is a ''diagram'', not two people side-by-side. Even if the image lacked the sci-fi nonsense it would still be a poor illustration of the idea in the article. We can see this example in how others illustrate the paradox:
::::::* {{cite web |title=The twin paradox: Is the symmetry of time dilation paradoxical? |language=en |website=Einsteinlight |publisher=University of New South Wales |url=https://www.phys.unsw.edu.au/einsteinlight/jw/module4_twin_paradox.htm }}
::::::* {{cite book |author1-last=Urone |author1-first=Paul Peter |author2-first=Roger |author2-last=Hinrichs |author3-first=Kim |author3-last=Dirks |author4-first=Manjula |author4-last=Sharma |title=College Physics |language=en |date=2012 |publisher=Rice University |url=https://openstax.org/books/college-physics/pages/28-2-simultaneity-and-time-dilation#import-auto-id983596 |at=Figure 28.8 |isbn=978-1-938168-00-0 |oclc=895896190 }}
::::::* {{cite web |title=Twin paradox part II |language=en |date=2016-04-13 |website=Einstein Relatively Easy |url=https://einsteinrelativelyeasy.com/index.php/special-relativity/47-twin-paradox-part-ii }}
::::::I think if we must illustrate this article, we should follow the visual tradition of past reliable sources in this regard and use a similar diagram. As far as I can tell the three I just cited are non-free so until someone makes such a diagram the article should remain illustrated just by the more abstract spacetime diagrams currently in use. <span title="Signature of Dan Leonard">— <span style="text-shadow: 2px 2px 8px lightskyblue, -2px -2px 8px forestgreen;font-weight:bold;">]</span> • ] • ]</span> 18:42, 28 September 2024 (UTC)
:I don't oppose the use of an AI illustration in general, but I don't like that this one has (a) a portal between the twins and (b) an overabundance of spaceships in the background. ] (] / ]) 12:16, 27 September 2024 (UTC)
::This is a reasonable criticism. (I mean, regarding (b), as mentioned above, I think having ''some'' spacecraft in the background can be useful for conveying the long-distance space travel part of the thought experiment, but that could be done with fewer of them.) {{ping|Theklan}} could you try to work on this e.g. by generating more variations and possibly modifying the prompt? (Or by modifying this particular image directly - I don't know if the current version of Bing Image Creator has that functionality.) Regards, ] (]) 16:22, 27 September 2024 (UTC)
:::I can delete the spacecraft from the image using an image editor. However, I don't know if this will change the mind of others here. ] (]) 17:40, 27 September 2024 (UTC)
::::]
::::Here there is a copy of the same image without spaceships in the background. If someone needs to add something in the back (like an equation) it can be done, for sure. ] (]) 17:45, 27 September 2024 (UTC)
:::::Great, what about (a) (removing the "portal"-like disk/circles between the twins)? Regards, ] (]) 18:01, 27 September 2024 (UTC)
::::::@] that may be more difficult, as there's a light effect for them. I can try, buy it will take more time. ] (]) 18:46, 27 September 2024 (UTC)
:::::::]
:::::::Thanks, looking forward to the next version. In the meantime I have updated the article already with the one that resolves (b).
:::::::For reference (so that the above comments don't become intelligible), here is the original version again.
:::::::Regards, ] (]) 01:41, 28 September 2024 (UTC)
::::::::The sci-fi elements seem extremely distracting and misleading here, I've removed the image while this is still being worked on.
::::::::The focus of the thought experiment is that a person can take an otherwise unremarkable rocket trip and return home to find that their twin has aged. There would be no arcing electricity or glowing portal at this meeting, and no sense of danger in the two siblings touching hands.
::::::::If we think a simple concept like {{tq|the traveler returns home to find his twin brother much aged compared to himself}} needs an illustration, perhaps work from the ground up describing that to your AI, rather than asking it to draw a "paradox" as part of the prompt and trying to manually clean up its wild sci-fi ideas of what the general concept of "a paradox" would look like if it appeared in front of somebody. ] (]) 10:58, 28 September 2024 (UTC)
{{clr}}
===Arbitrary break===
* Due to a few days of absence, I have not read the above discussion, but I ''fully agree'' with the latest '''removal''' of the image. The image is nicely made, but it adds nothing to the article. On the contrary, it might give the impression that the travelling twin is somewhere in space when their ages are compared, whereas the essence of the paradox, is that the twins are physically reunited when the comparison is made. I.o.w. that ''barrier'' between the twins should not be there. Furthermore, when they are reunited, the travelling twin does not need her space helmet and suit anymore {{smiley}}. - ] (]) 12:21, 28 September 2024 (UTC)
*:As for my removal of the image: The image was at the top of the article -- not adjacent to the History section with the thought experiments where its caption can at least be considered a short-hand reference to thought experiments. As it was, the caption was misleading: "The twin in space is younger than the twin that was on Earth" gives the impression that one twin simply being in space during the twins' lifetime can generate such a vast difference in aging. Such a difference in aging between two twins during the lifetime of the Earth-bound twin can occur only if there is sufficient distance and speed involved. Simply "being in space" cannot generate more than a second of time difference between the twins (unless the "in space" twin is also in orbit, in which case it's still less than three seconds). Not a good idea to give an impression of vast age difference with such prominence at the top of the article. In fact, the caption had an absurd structure: "The twin in space" implies the twin "is" in space, while the other twin "was" on Earth -- and they're not even reunited yet. ] (]) 12:58, 28 September 2024 (UTC)
*::@] This is a ''thought'' experiment, not a real calculation about aging for a given ISS mission. i suggest to see the classical Carl Sagan's ''Cosmos'' for s very similar ageing metaphor, making the point that the paradox wants to make: {{youtube|lPoGVP-wZv8}} ] (]) 17:55, 28 September 2024 (UTC)
*::The thought experiment is usually discussed with respect to the traveling twin moving at approximately {{Mvar|c}}, and has nothing to do with current space travel. It's a standard example of relativistic time dilation for the classroom. <span title="Signature of Dan Leonard">— <span style="text-shadow: 2px 2px 8px lightskyblue, -2px -2px 8px forestgreen;font-weight:bold;">]</span> • ] • ]</span> 18:24, 28 September 2024 (UTC)
*::: FWIW, I agree with this, as usually the twin paradox is about a ''visibly older'' returning twin traveller. But I think that this particular part of the discussion is not really relevant to the question wether the image is warranted in this article. - ] (]) 18:59, 28 September 2024 (UTC)
*{{xtn|], astronaut ]&nbsp;(right) aged 13&nbsp;milliseconds less than his earthbound twin brother ]&nbsp;(left).<ref name="Anthony 2017">{{cite interview |last=Kelly |first=Scott |subject-link=Scott Kelly (astronaut) |interviewer=] |date=2017-10-29 |title='I came back from space younger than my twin' |language=en |newspaper=The Guardian |quote=I was already six minutes younger than Mark but, as Einstein predicted, I've come back six minutes and 13 milliseconds younger after a year in space. |url=https://www.theguardian.com/science/2017/oct/29/scott-kelly-astronaut-interview-space-younger-twin-endurance |access-date=2024-09-28 |url-status=live |archive-url=https://web.archive.org/web/20171102003113/https://www.theguardian.com/science/2017/oct/29/scott-kelly-astronaut-interview-space-younger-twin-endurance |archive-date=2017-11-02}}</ref><ref name="Luokkala 2019">{{cite book |author1-last=Luokkala |author1-first=Barry B. |author1-link=Barry Luokkala |date=2019 |title=Exploring Science Through Science Fiction |edition=2nd |series=Science and Fiction |language=en |publisher=Springer |publication-place=Cham, Switzerland |doi=10.1007/978-3-030-29393-2 |isbn=978-3-030-29393-2 |oclc=1126541494 |ol=20717998W |page=32 |quote=A year-long experiment conducted aboard the International Space Station (ISS) provides us with a real-life application of the twin paradox. From March 27, 2015, through March 1, 2016, U.S., astronaut Scott Kelly spent nearly a year aboard the International Space Station, while his identical twin brother, Mark Kelly, remained on Earth.}}</ref>]]}}In lieu or in addition to a diagram (which would be optimal), I'd like to propose the following addition to the article. I don't know if it's acceptable at the top of the article (as it's slightly misleading as the visual differences between the brothers are not due to age) but I also am not sure which section of the article would be best for it. <span title="Signature of Dan Leonard">— <span style="text-shadow: 2px 2px 8px lightskyblue, -2px -2px 8px forestgreen;font-weight:bold;">]</span> • ] • ]</span> 19:06, 28 September 2024 (UTC)
{{xtn|{{Reflist-talk}}}}
:: IMO that's more of a (funny) little joke than a useful addition {{smiley}} - ] (]) 19:16, 28 September 2024 (UTC)
:::I'd be inclined to agree; however, when I was looking for a citation I noticed that lots of reliable sources mentioned the 13&nbsp;ms difference in age when reporting on Kelly's return to Earth. I think it shows that many RSs&nbsp;– including NASA themselves&nbsp;– consider this real-world example a good starting point for laymen to understand the effects of time dilation and the twin paradox. <span title="Signature of Dan Leonard">— <span style="text-shadow: 2px 2px 8px lightskyblue, -2px -2px 8px forestgreen;font-weight:bold;">]</span> • ] • ]</span> 19:19, 28 September 2024 (UTC)
:::: Yes, I'm inclined to change my mind. If there are indeed more relevant sources, the image with the caption and at least two citing sources might be a really good idea after all. It also has a pretty strong ''educational'' advantage: showing the scale of a real world example of the subject. - ] (]) 20:02, 28 September 2024 (UTC)
:::: Actually, I'm beginning to think that this is an excellent suggestion, so as far as I'm concerned, go ahead. - ] (]) 20:04, 28 September 2024 (UTC)
::::: Good job, . It would also be a good idea to put it in another article at the start of ]. - ] (]) 09:10, 29 September 2024 (UTC)
::::::Is the following correct?
::::::Assuming a net lesser aging for Scott over the 340-day period of precisely 0.013 seconds, then it seems that the positive and negative accelerations of launch and re-entry generated 0.0229 seconds of lesser aging for Scott in addition to his lesser aging of 0.0105 seconds due to the kinematical effect of orbital inertial motion (17,900 mph).
::::::I'm basing that on the increased aging for Scott of 0.0204 seconds due to 340 days of weightlessness as per the "Outside a non-rotating sphere" section of the Gravitational time dilation article. (The calculation in that section does not take into account the apparently trivial effect of the rotation of the earth for the twin on the surface of the earth. It also incorporates a "clock at infinite distance" from the earth; but that would be identical to the effect of orbital weightlessness.)
::::::Lesser aging:
::::::10.5 milliseconds kinematical
::::::22.9 milliseconds for positive and negative acceleration
::::::Greater aging:
::::::20.4 milliseconds for weightlessness
::::::Net:
::::::13.0 milliseconds lesser aging
::::::I wouldn't expect the short durations of just a few g's during launch and re-entry to compare so closely to 340 days of zero g vs one g.
::::::It might be nice to get a handle on the specifics of the combined effects in the event that someone might be wondering. ] (]) 14:44, 29 September 2024 (UTC)
:::::::Can't discuss this here per ]. - ] (]) 18:25, 29 September 2024 (UTC)
::::::::Thanks, and I was amazed by the correction to my long-standing misconception. ] (]) 14:08, 1 October 2024 (UTC)
::::::::: {{rto|Donbenladd}} I undid , as that new source () and your talk page comments are of a ] than the existing sources. Please do not make similar changes without getting some kind of ] on ''this'' talk page first, and make sure to bring along more reliable sources to back the discussion — see ]. - ] (]) 16:58, 12 October 2024 (UTC)
::::::::::Just as you were undoing my revision, I did update my talk page with the following:
::::::::::"Why did Scott state 13 milliseconds in his interview per the previously referenced source? Apparently, he was referring to the combination of his combined GR/SR clock-decrease (using roughly 8 milliseconds) and his biological aging increase of roughly 5 milliseconds (that 5-millisecond value we see here and there on the Net)."
::::::::::This would mean that the 13 milliseconds in the caption is including the biological aspect, which of course is outside of the GR/SR time-dilation.
::::::::::I hope you'll check my calculations which confirm the value for GR/SR combined effect as stated in the source I provided.
::::::::::Thanks for directing me to discuss it on this page. ] (]) 17:12, 12 October 2024 (UTC)
:::::::::::I'm beyond absent-minded: 8 - 5 = 3. I had Scott perhaps adding 5 to 8. I have no idea how he arrived at 13 milliseconds. ] (]) 17:23, 12 October 2024 (UTC)
:::::::::::: No, sorry, I'm not going to check your calculations. Here we can only discuss ''based on reliable sources'' along Misplaced Pages standard. - ] (]) 17:28, 12 October 2024 (UTC)
:::::::::::::Thanks. I'll search for a rock-solid source by and by. ] (]) 17:36, 12 October 2024 (UTC)
::::::::::::::Considering that no two sources are equally reliable, shouldn't one use, as a reliable source, the one that contains the correct number as easily verified by consensus-calculation among[REDACTED] editors of an article -- especially when there is such a large disparity between the two sources regarding the number?
::::::::::::::I read the "Misplaced Pages:Reliable sources" article for which you provided a link. Quartz does not seem to fail any reliability test that I could find in that article.
::::::::::::::See the Misplaced Pages article: https://en.wikipedia.org/Quartz_(publication)
::::::::::::::Quartz is a large international publication founded in 2012 by members of Bloomberg, The Economist, The New York Times and The Wall Street Journal.
::::::::::::::The source is very reliable. It seems the only thing missing is a consensus here on which of the two reliable sources provide the correct number. The calculation can be done in just a couple minutes.
::::::::::::::I will give this a rest for now. ] (]) 18:15, 12 October 2024 (UTC)
:::::::::::::::My opinion is that the twin paradox is unresolved and that there is no definite right answer that has consensus. I would say that something that has the consensus of Bloomberg, The Economist, The New York Times, and The Wall Street Journal is necessarily unreliable on the present topic. The problem is conceptual, not to be resolved by simple calculations.] (]) 00:20, 13 October 2024 (UTC)
::::::::::::::::See: https://en.wikipedia.org/Time_dilation#Experimental_testing_3
::::::::::::::::The theoretical combined effects of GR and SR on time-keeping have been extensively experimentally tested. The predictions of time-dilation are in agreement with experimental results, and were made using the same simple equations that are applied to the ISS mission, as seen in the graph which is part of the section linked to above.
::::::::::::::::In fact, the graph indicates 25 microseconds per day (8.5 milliseconds per 340 days) combined SR/GR time-difference for ISS, in keeping with those simple equations. ] (]) 00:58, 13 October 2024 (UTC)
:::::::::::::::::Thank you for your response. I can see that you feel that it is all sorted. I would say that different processes can be affected differently by acceleration. In particular, I don't see why biological aging will be affected by acceleration in the same way that atomic clocks are.] (]) 01:58, 13 October 2024 (UTC)


== The caption for the Scott & Mark Kelly image ==
:: The clocks aren't accelerating; they're just being set as they pass each other.
::] 17:52, 16 May 2007 (UTC)


The Scott & Mark Kelly image replaced the AI image.
== Need to show why can assume one frame of reference is stationary ==


One of the sources (ref 1) in the current caption gives a value of 13 milliseconds simply by way of quoting Scott Kelly, who gave no indication of whether that was a GR/SR effect, a biological effect of orbital weightlessness, or some combination of the two. The other source (ref 2) has a non-functioning specific link (OL 20717998W: Bing: "can't reach this page"), so I could find nothing there to corroborate ref 1.
Both twins would perceive the other as accellerating due to a force. The 'stationary twin' may well
be accellerating relative to an arbitrary point in the universe. If the laws of physics are the
same in all inertial frames of reference but not accelerating ones then there must be an
experiment each could do to determine their absolute acceleration. Everyone in the universe could
then do this experiment and deduce the absolute frame or reference. ] 14:46, 24 May 2007 (UTC)


Nor can I find any source on the Net that specifies 13 milliseconds without simply repeating Scott's words as quoted in the article referenced (ref 1 in the caption).
:The stationary twin would read zero on his accelerometers. The travelling twin would not. ] 15:25, 24 May 2007 (UTC)


If, as seems apparent, Scott was referring to the combination of his combined GR/SR lesser aging (using 8 milliseconds) and a biological age increase of 5 milliseconds due to orbital weightlessness (that 5-millisecond value we see here and there on the Net, but which actually refers to six months in orbit aboard ISS and is incorrectly used by Mark Kelly in an interview), and then accidentally added instead of subtracting, he would obtain 13 milliseconds. Easy mistakes to make. But of course, the Twin Paradox article should not include any aging difference relating to the effect of orbital weightlessness in any case.
:The notion of the accelerometer is interesting and the best way of making progress here. To avoid two threads about the same thing I have referred to it below. ] 15:40, 24 May 2007 (UTC)


A graph accompanying the Misplaced Pages "Time Dilation" article indicates about 25 microseconds per day (8.5 milliseconds per 340 days) combined SR/GR time-difference for ISS, in keeping with the simple equations for GR and SR time-dilation. And note the smooth lines connecting ISS to all the satellites.
:However since you avoided the question in the thread below by getting in a huff I'll repeat it here to help you develop your understanding - you are claiming the acclerometer measures absolute acceleration. Accelleration is a vector quantity. Therefore absolute accelleration implies an absolute co-ordinate system - Yes or No. ] 09:02, 27 May 2007 (UTC)


https://en.wikipedia.org/Time_dilation#Experimental_testing_3
:: See '']'', '']'', '']'' and '']'', or, if you don't trust the Misplaced Pages, find a good textbook on , or use Google and find some academic site where things are explained the way you like it. Other than that, the subject of this talk page is the article. Its purpose is not to provide answers to your very simple questions. Experience shows that this only leads to avalanches of even simpler questions. ] 09:08, 27 May 2007 (UTC)


Quartz, a reliable source by Misplaced Pages standards, states the correct value for the GR/SR combined time difference, which is 8.6 milliseconds. See my talk page.
::: If you read a decent book you will find that the twin paradox is about conficting results from the two frames of reference. There is nothing interesting or controversial about one twin being younger, having done the calculation in only one frame of reference. I refer you to Rindler. He resorts to some hand waving in regard to the twin paradox, but at least he states the paradox correctly. ] 17:15, 27 May 2007 (UTC)


Quartz is described in a Misplaced Pages article: https://en.wikipedia.org/Quartz_(publication)
:::: ''Three'' frames of reference. But there's no conflict if you do the calculation correctly. See, for instance, .
::::] 23:36, 27 May 2007 (UTC)


The Quartz article to be referenced:
::::: The frame of reference of the 'homebody' and the frame of reference of the traveller. That's two. ] 09:53, 28 May 2007 (UTC)


https://qz.com/370729/astronaut-scott-kelly-will-return-from-a-year-in-space-both-older-and-younger-than-his-twin-brother
== Essence of paradox versus "Both Viewpoints" ==


Without objection, I will change the caption to read:
Taken out of the article:


During the ISS year-long mission, astronaut Scott Kelly (right) aged 8.6 milliseconds less than his Earthbound twin brother Mark (left) due to relativistic effects.
''The essence of the paradox is that because in relativity there is no absolute frame of reference (such as an ether), both twins are equally correct in assuming their own frame of reference to be stationary. They both perceive the other as accelerating. To resolve the paradox we must perform the calculation in the frame or reference of both twins and show that the results are consistent. Alternatively we must provide details of an experiment each twin could do to show which was the itinerant twin and which was stationary, and hence show how the laws of physics differ in each frame.'' ]


And when the Wayback Machine is online again, I'll add the archived page to the reference. ] (]) 08:11, 13 October 2024 (UTC)
:The essence of the 'paradox' is failing to understand that the twins are '''not''' equally correct in assuming their own frame of reference to be stationary. One twin remains stationary. The other twin does not: he either has to jump from one stationary frame to another, or he has to undergo accelerations.
:To resolve the paradox we must calculate both times and compare them. That is what the article does.
:The article calculates the integral
:: <math>\Delta t' = \int \sqrt{ 1 - (v(t)/c)^2 }dt \ </math>
:which is what you call ''"the calculation in the frame or the stay at home twin"''.
:If you want ''"the calculation in the frame or the travelling twin"'', you need to calculate the integral
:: <math>\Delta t = \int \sqrt{ 1 - (v(t')/c)^2 } ( 1 + a(t') x'(t') ) dt' \ </math>
:where a(t') is the proper acceleration felt by the traveller and x'(t') the distance to the stay-at-home at time t' according to the traveller. This calculation is much more difficult and messy, but obviously it gives the same result.
:Note that the form of the second integral is equally suited to ''calculate from the point of view of the stationary twin'', in which case the proper acceleration is trivially zero.
:You can verify the calculation and the results in this (quick and dirty) maple sheet: . Verify the one but last columns of the tables: t(T) and T(t). The last column contains the numerically approximated value of the integral. I repeat - this is a quick and dirty one.
:Anyway, this is clearly not the ''"essence of the paradox"'' and I think it is much too elaborate for the article itself.
:] 15:10, 24 May 2007 (UTC)
:: Stationary relative to what? How do you define stationary? What is the definition of proper acceleration? From the point of view of a star at the center of the universe the 'stationary' twin is jumping between frames. What is you definition of absolute accelleration (are we agreed stationary means absolute acceleration is zero)? How do I measure my proper acceleration? How does either know if he is the stationary one? ] 15:34, 24 May 2007 (UTC)
::: See reply in previous section. ] 15:28, 24 May 2007 (UTC)
:::: By which you mean the accelerometer? What is your definition of proper accelleration? It is a very simple question. With regards to an accelerometer - does such a thing exist - if I had one on myy desk what value would it show? How does it measure it? I am accelerating relative to the sun as well as all sorts of other bodies. Would it show this? Relative to which body would the value be zero? Or put more simply. What would a zero value on such a device tell me? ] 15:34, 24 May 2007 (UTC)


: I don't think that a simple article in ] by some non-notable author is a reliable source, even if Quartz has an article in Misplaced Pages. Many publishers and websites have an article, but are not considered reliable sources. See, for instance the entries on the ] and all the ones marked as unreliable in ]. I think that the combination of a Springer text-book and the Kelly primary source is stronger. - ] (]) 11:48, 13 October 2024 (UTC)
::::: See '']'', '']'', '']'' and '']'', or, if you don't trust the Misplaced Pages, find a good textbook on , or use Google and find some academic site where things are explained the way you like it. Other than that, the subject of this talk page is the article. Its purpose is not to provide answers to your very simple questions. Experience shows that this only leads to avalanches of even simpler questions. ] 16:43, 24 May 2007 (UTC)
::I didn't claim that the mere existence of a Misplaced Pages article implies Quartz is a reliable source. Rather, I provided a link to that Misplaced Pages article. Higher on this talk page, I wrote: "I read the ] article for which you provided a link. Quartz does not seem to fail any reliability test that I could find in that article." Show me how it fails a reliability test.
::I don't think the combination of the Guardian article and a dead Springer link (show me a quote from the Springer reference) is a stronger source than the Quartz article.
::We have Mark Kelly quoted in a saying that he was another 5 milliseconds older than Scott as a consequence of the ISS mission. The only context in that article is "Einstein's Time Dilation".
::We have Scott Kelly quoted in as saying that he aged 13 milliseconds less than Mark as a consequence of the ISS mission. And Scott's exact words in that article are: "as Einstein predicted, I’ve come back six minutes and 13 milliseconds younger." (He had begun the mission six minutes younger than his twin brother.)
::I don't think Scott or Mark Kelly are reliable sources.
::See the ] accompanying the Misplaced Pages Time Dilation ] as a reality check. ] (]) 13:16, 14 October 2024 (UTC)
:::(Incidentally, the 5-millisecond value Mark Kelly provided seems to be an accidental reference to a European Space Agency release that is referring to a six-month ISS mission (Butch Wilmore and Suni Williams) and to only the SR effect. See the that references the European Space Agency statement. Elsewhere on the Net, a 5-millisecond value is referred to as an effect of simply being weightless for six months, which would be a ridiculous number.) ] (]) 14:53, 14 October 2024 (UTC)
:::: Ok, no problem. - ] (]) 05:33, 20 October 2024 (UTC)


== Contradiction: Acceleration ==
:::::: The accelerometer referenced here is like a speedometer. It is calibrated to a fixed frame of reference, and would therefore give a value of zero on my desk. Any vector quantity is dependent on a co-ordinate system (frame of reference). Please have a think over the weekend and if you haven't modified the article by Monday I shall re-instate my commments in the article. The article in its current form reintroduces an absolute frame of reference a priori. Proper acceleration as defined there is defined relative to a particular frame of reference, and again in the frame of reference of the 'travelling' twin the 'stationary' twin would have a proper acceleration according to the mathematical definition you have referenced. Proper time relies on a concept on 'same place' which trivially depends on a chosen frame of reference. I studied Rindler's book as part of my Physics degree. Simple questions expose misunderstandings in my experience. I think your misunderstanding is in the word 'proper'. It does not mean one frame of reference is 'right' and the other 'improper'. It simply a shorthand for 'in our CHOSEN frame of reference'. You can choose either twins frame of reference to be proper with equal validity, as each twin stays in the same place in their own frame of reference. To say one stays in the same place but the other does not assumes an absolute frame of reference ] 18:56, 24 May 2007 (UTC)


The start of the introduction correctly states that acceleration breaks the symmetry in the Twin Paradox, but the end of the introduction falsely claims that it can be "resolved" without taking into account acceleration somehow. I think this misunderstanding can be traced back to a Fermi Lab Youtube video, in which they simply beg the question of which twin ought to be thought of to be in two seperate inertial frames. The answer is of course acceleration, which the rest of this article correctly points out. ] (]) 13:30, 15 October 2024 (UTC)
::::::: In order to avoid the predicted avalanche, just a short and final reply to your phrase ''"reintroduces an absolute frame of reference"''. Proper acceleration is defined as the proper time derivative of the four-velocity in the so-called ''Instantaneously co-moving inertial frame'' in which the object is instantaneously at rest. See , or or or or ] etc...
::::::: But again, we are merely discussing your skepticism and/or ignorance here. That is not the purpose of this talk page. I suggest you take it back to a place like ] 19:30, 24 May 2007 (UTC)
:::::::: You are airing you ignorance. Look at Rindler. The twin paradox is that both twins expect each other to be younger. It is NOT that it is surprising that time dilation occurs (as implied by this grossly inaccurate article.). I have taken the argument from Rindler about the twin paradox put it at the end of your calculation. Hope that helps you to understand it better. If not enrol on a physics course and talk to someone about these issues - rather than quoting equations you have googled and plainly do not understand There is no such thing as AT REST, objects can only be at rest in relation to a particular frame of reference. There is no such thing as a frame of reference which is inertial or not in absololutum. Frames can only be inertial or not (moving at constant velocity) relative to each other ] 07:54, 25 May 2007 (UTC)


: Everything can be perfectly explained and "resolved" with or without acceleration, as is shown in ample reliable sources througout the article. - ] (]) 05:32, 20 October 2024 (UTC)
::::::::: I strongly suggest that you wade through the 6 archives of this talk page (in which you will find a large number of treatments of your misconceptions), and then take your ignorance and trolling elsewhere. ] 08:04, 25 May 2007 (UTC)
:::::::::: I am simply stating the standard version of relativity to you. Before Einstein people believed in an ether i.e. an absolute frame of reference. Time dilation and length contraction occured relative to this ether frame (the Lorentz equations predated Einstein). Your article is a pre-Einstein Lorentzian view of relativity. In the Lorentzian view of relativity there is no twin paradox, but then you are stuck with asking why should there be an absolute frame of reference and which one is it or what is it? Post Einstein trained physicts believe there is no ether frame or absolute frame of reference. We therefore cannot make statements like at rest, without basing them on a chosen frame of reference. I hope that helps. If you get a formal education in Physics then you will be exposed to this in more detail. Abandoning an absolute frame of reference is quite counter intuitive at first and people not used to it do keep talking about at rest or accelerating without specifying their frame of reference for quite a while - but your Profs will drum such 'sloppy' statements out of you eventually. If you are interested in the subject then go for it. Your article is a nice try - and very eminent people argued along the same lines as you pre-Einstein so your mistakes are nothing to be ashamed of. I intuitively would have argued along such lines too. However I would add that calling someone an ignorant troll when they are taking the time to ask you questions to help sharpen your understanding is something you will need to grow out of if you are to train as a scientist. In summary and for the final time, accelleration is a vector quantity, so any argument that posits absolute acceleration also posits an absolute co-ordinate system. Good luck in your training.] 11:14, 25 May 2007 (comment extended 27 May) (UTC)


::Correct me if I am mistaken, but I think that the just foregoing remark relies on the clock hypothesis?] (]) 08:09, 20 October 2024 (UTC)
::::::::::: I know I shouldn't be taking a trolls' bait, but in summary and for the final time, just a '''repeat''' of a short and final reply to your phrase ''"reintroduces an absolute frame of reference"'': proper acceleration is defined as the proper time derivative of the four-velocity in the so-called ''Instantaneously co-moving inertial frame'' in which the object is instantaneously at rest. See , or or or or ] etc... ] 09:27, 27 May 2007 (UTC)
::: <small>Off topic here, but yes, on the ] or simply on the definition of the ], upon which the entire modern formulation of special relativity can be built.</small> - ] (]) 12:36, 20 October 2024 (UTC)
::I only found this error at one place in the article and there is no citation, but rather an argument about two travelers passing each other replacing the outgoing twin. That argument is from a Fermilab Youtube video, which I think is the source of this confusion. Why can one twin be replaced with two travelers rather than the other? The answer is that one is accelerated by the space ship. Indeed that's the only thing breaking the symmetry. All other accounts invariably assume absolute location or absolute motion.
::The rest of the article correctly points this out, it's really just that one sentence. ] (]) 16:39, 28 October 2024 (UTC)


== Elapsed time sections ==
:::::::::::: I'll ignore the Kevin the teenager remarks about trolls. If a frame it truly comoving then the proper accelleration will always be zero. To have a comoving inertial frame that does not always track a body exactly then you have to say a body has moved relative to its (supposedly comoving) inertial frame. To say this you have to say the intertial frame moved at constant velocity and the body didn't. So you are dependent on another frame to say the comoving inertial frame was moving at constant velocity and the body wasn't. i.e. the inertial frame is moving at constant velocity relative to what? ] 10:55, 27 May 2007 (UTC)


The sections at the end calculating elapsed time for a rocket with finite acceleration cover two different examples. The first section "as a result of differences in twin' spacetime path" sends the rocket on a short journey, and has the elapsed times T=12, tau=9.33 for the two twins. The section "how to calculate it from the ship" sends the rocket on a longer journey, and has the result T=17.3 and tau = 12.
::::::::::::: This is not the place to teach you the basics. See pointers and suggestions given to you earlier. If you fail to do that, you are disrupting and sabotaging the purpose of this talk page, i.o.w. ''trolling''. ] 11:20, 27 May 2007 (UTC)


I was brought to this article by an anti-relativist convinced that this is a contradiction - "the spacetime path method gives T=12, tau=9.33, the spaceship method gives T=17.3, tau = 12". The different methods give different answers.
:::::::::::::: There are only two answers to the question. An inertial frame is either in constant motion relative to an absolute frame of reference or to the observer. The correct answer is the latter. Therefore if the 'travelling' twin is the observer then the 'homebody' twin is undergoing a proper accelleration i.e. the situation is symmetrical. You really have trouble with the Socratic style of debate. It is clear you are a googling teenager so I was not asking to be taught. I am trying to help you understand your mistakes. I give up. Please correct the article or I'll request intervention from an administrator when I get some time off in a few months. ] 16:55, 27 May 2007 (UTC)


I think it would be clearer to consider the *same* journey in both cases - I would be willing to redo the calculation and redraw the figures.
:
: There's no such thing as an absolute frame of reference. However, an inertial frame is in constant motion relative to every other inertial frame. If the traveling twin is coasting, then neither twin will see the other as accelerating, so, yes, the situation is symmetrical.
:] 23:36, 27 May 2007 (UTC)


Alternatively, it should be made very clear that the two elapsed time calculations apply to different journeys (for reasons...) so should not give the same answer. ] (]) 11:02, 6 December 2024 (UTC)
:: The symmetry during the coasting phase is not in dispute, its the claimed asymmetry in the accellerating phase that is in dispute. 'An inertial frame is in constant motion relative to every other intertial frame' can't be true. As every possible laboratory frame is accellerating due to the expansion of the universe, even if you get out of the orbits of earth, sun etc. i.e. we would never be in an inertial frame to do any measurements, or if we were in one of these priviledged frames we would only be momentarily in one. The concept of inertial frames can only be relative to the observer. The experimental tests of relativity have been done in frames accellerating round the center of the earth and sun and the results deemed acceptable because the frame of atomic clocks, decaying particle etc was in uniform RELATIVE motion. Every frame in inertial for someone in that frame (accellerometers don't measure the acceleration round the center of earth, sun). So if A is accelerating relative to B their own frames are inertial for each of them - but the frame of B is not inertial relative to A and vice versa. The B frame is an equally valid inertial frame as long as you do the whole calculation in that frame. Sorry to 'preach' but I tried the polite ask questions to highlight issues form of debate and you can see the results. NB I ought to clear up this illusion of an accellerometer and 'feeling inertial forces'. You only feel Gs because you are temporarily in a different frame of reference to your seatbelt, the air etc. If instead of an engine in your car/plane every cell in your body had a mini-rocket attached so you were always in the same frame as your surroundings you would feel no forces. It is the same principle as a hanging weight - the forces do not get translated from one end to another so the two ends get out of sync if its hanging by a thread, so you get a deflection. If its hanging by a steel rod you get no deflection. i.e. if ALL of an accellerometer is always in the frame of an accellerating body it always measures zero. Hence why an accelerometer on the surface of the earth can measure zero despite all the accelerations due to motion round earth/sun etc. Any deflection is a relative accelleration between two frames (and two parts of an accellerometer) and you can say with equal validity that either part has accellerated ] 10:01, 28 May 2007 (UTC)


:I don't think that it is necessary to recalculate/redraw. Indeed, this is a different voyage than the one shown before, as both schemes take the same assumed total ''point-of-view time'': T=12 (stay-at-home), resp τ=12 (ship), so the results of the calculation of the ''other-one's times'' must be different: τ=9.33 (ship), resp T=17.3 (stay at home).
:::Annabel, from your edit summaries it appears that you have access to Rindler: "Relativity: Special, General, and Cosmological". Since you apparently find him more credible than Wwoods and DVdm, you ought to (re)read his explanation of the Twin paradox. In my edition it begins on page 64-68. Here is a small quote from page 67:''"From a modern point of view it is difficult to understand the earlier fascination with this problem, or even to recognize it as a problem."'' and from page 68: ''"But inertial frames have a real existence too, and relative to the inertial frames there is no symmetry between the buckets and no symmetry between the twins, either."'' ] ] 12:57, 28 May 2007 (UTC)
:Having identical point-of view times is probably better than having different ones, otherwise the choice of phase times of a fraction of 2 units would seem arbitrary. But it is indeed a good idea to explicitly specify this in the caption of the latter image. I have done that: . - ] (]) 13:51, 6 December 2024 (UTC)

::::On these points he is wrong. An accellerometer in freefall reads zero (because all parts undergo equal accelleration). There have been endless papers about hypothetical accelerometers that can detect <i>absolute</i> accelleration. As absolute accelleration is (to date) undetectable Rindler was handwaving when he declared that inertial frames have a real existence. I accepted his definition of the paradox, not his handwaving. This[REDACTED] article in its current form is plain dishonest as it doesn't even state the problem, let alone solve it. I did however look up my notes from a conversation with Higgs. He used the example of a billiard table. If you strapped a rocket to table the balls would fly to one side (this is how accellerometers 'work'). However if the billiard table and players were in freefall (or undergoing another force that acted uniformly on all parts of the 'system') then you could have a game of billiards and be none the wiser. Inertial frames are undetectable, and therefore in a measurement based science they are not 'real'. ] 12:10, 10 June 2007 (UTC)

::::: An accellerometer in free-fall ''is'' in an inertial frame (or technically an inertial trajectory). Once gravity enters the equation, you have to consider ] and curved space-time. Inertial frames/trajectories are exactly those frames in which an accelerometers reads zero. We can't perform experiments to distinguish between travelling at a constant velocity in an inertial frame far from any gravity fields and travelling in an inertial trajectory in a gravity field, but luckily General Relativity tells us we don't need to.
::::: So to keep it simple, let the twins be in separate spacecrafts, each with their own billiard tables. Now observe the billiard tables during the experiment. The balls on the stationary twins billiard tables are stationary, while the balls on the travelling twins table will move one way during take-off, another way when the twin turns around and back again when he stops. Clearly, we can distinguish between the two twins, so there is no paradox here. Note that you can't perform the experiment without having the balls on the stationary twins table move. If both twins stay in the same inertial frame, hey will stay together. In order for one of the twins to move to another inertial frame/trajectory he will have to accellerate, which will cause the balls to move. Now, this is Misplaced Pages, not sci.physics, so if you want to prove us wrong, you will have to come up with some credible sources that confirm your view (and please don't suggest ] :-) ). ] ] 07:12, 11 June 2007 (UTC)

:::::: Good point, although I would rather recommend which was created to keep this stuff out of sci.physics. :-)
:::::: As for the billiard balls table example, in this respect Griffiths' remark (''Introduction to Electrodynamics'', page 477) is rather interesting and might come handy for those who for some reasons have a problem with the concept of an accelerometer:
::::::: ''"This raises an awkward problem: If the laws of physics hold just as well in a uniformly moving frame, then we have no way of identifying the "rest" frame in the first place, and hence no way of checking that some other frame is moving at constant velocity. To avoid this trap we define an inertial frame formally as '''one in which Newton's first law holds'''. If you want to know whether you're in an inertial frame, throw some rocks around--if they travel in straight lines at constant speed, you've got yourself an inertial frame, and any frame moving at constant velocity with respect to you will be another inertial frame."''
:::::: ] 13:12, 11 June 2007 (UTC)

==No Discussion Why This Is A Paradox==

The discussion does not explain why there is a paradox. This is an important issue in the history of relativity that is being neglected. The following should be included as an external link. ] 17:39, 19 July 2007 (UTC)

: It does not explain why because the overwhelming consensus of scientific opinion is that the really is on paradox. The link you provide may be useful as a source of historical data on the topic, but as an authoritative demonstration that relativity is invalid it fails to hold water. More importantly, to the best of my knowledge it has failed to attract the kind of attention in the scientific community that would make in notable and require its inclusion in the article including a mention of its conclusion. --] | ] 20:39, 19 July 2007 (UTC)

This is a pretty dumb answer. The title of this article calls it a paradox, and the response is that there is no paradox. So why call it the twin paradox? Everyone calls it by this name because it is an unsolved paradox! The statement that the scientific community agrees on the solution is unproven. Lets take a vote on it. While we are doing that, lets let everybody, not just scientists vote on every scientific issue. All you have done, and this article does, is assert an opinion. Is that scientific? Is that objective assessment of the issue? What you want to do is to censor science information and you are using Misplaced Pages to help you do it. That is a false version of science. You want to impose censorship on scientific thought. This article needs major revision to present the problem in an objective scientific manner, rather than promoting false opinion, which can not be proved in any way, as "mainstream" science. The article is basically false and incorrect. It needs to be completely rewritten and not presented as a vehicle for the presentation of false and unproved opinion. There is nothing scientific about this article other than the subject matter. There is, in fact, no solution of the twins paradox within the special theory of relativity, that is why it is a paradox. As a minimum, in order to redress the damage this article does to objective science, the above link shold be included, along with others so that a correct an objective assessment of this problem can be presented to the reader.] 13:19, 24 July 2007 (UTC)

The proposed link is to a paper that is not peer-reviewd, has no references, and mixes in the author's opinions about special relativity with other people's alledged opinions. Not a worthwhile link in my view. ] 03:39, 26 July 2007 (UTC)

That is nonsense. The referenced work is a review and evaluation of different opinions expressed on the twins paradox. It addresses why Dingle decided special relativity is wrong. This subject is not addressed in this article, which is an attempt to suggest that the twins paradox is a settled problem, when it has not been adaquately solved. Apparently Misplaced Pages does not desire to reflect the most recent up to date research, and prefers to repeat the misinformation contained in outdated textbooks. This is an area in which papers are published every year, and the reason for this is that there is no satisfactory solution to this problem. The opinion of the editors seems to be that misinformation is better than exposing the reader to a problem which is controversial and unsolved. {{unsigned2|05:08, 26 July 2007| 71.251.178.128 }}

::Also the proposed link paper (by Ricker) seems to misrepresent Ives' exchange with McCrae (April and August, Letters to the editor, Nature 1951). Both McCrae and Ives agree on which clock (or which twin) comes back younger, they merely differ in how they explain it. Ricker suggests Ives agrees with what seems to be Ricker's own view, that the twins/clocks show the same age when reunited. I say again - a poor quality paper in a poor quality "journal". ] 03:47, 1 August 2007 (UTC)


This is one of those little things that drives me crazy. Most textbooks claim that the twins paradox is "not really a paradox" because, even thought it is a bit unintuitive,it has a resolution, completely ignoring the definition of a ]! Unfortunately I can't cite any specific sources on this, so I'm not going to change the article, but it's pretty evident if you look at the definition of paradox. --] 17:37, 27 July 2007 (UTC)

The paradoxes of relativity are contradictions and imply a false conclusion because of an error in the logic. Either the premises are false or the conclusions are. However, paradoxes are contradictions which are not beleived to be true, so by calling the contradictions paradoxes, the conclusion that the assertions are false is avoided. A discussion of this problem in the context of the special theory of relativity is given at: .] 14:54, 28 July 2007 (UT

Mr E4mmacro should apologise for making deliberately false statements. The referenced paper does not do as he asserts, but merely notices the difference in viewpoints in a very brief manner by providing sample quotations from the papers. An apology is due to Mr Ricker and the discussion group.] 16:16, 1 August 2007 (UTC)

== Introduction ==

Always keep an introduction simple and to the point. This article is about the twin paradox. The introduction should give us all a brief explanation of what the paradox is.

Whoever wrote the previous introduction seemed to be more intent on giving a long explanation of why he thinks that there is no paradox. It doesn't matter whether there is a paradox or not. The article is entitled 'The Twin Paradox' and so all we need to know is what the paradox is claimed to be. (] 12:59, 26 July 2007 (UTC))

That is standard relativity BS. They either say that a paradox is not really a contradiction, or that it is only a seeming contradiction. In fact the term paradox is wrong, it is a contradiction, but the word paradox has become standard usage in this problem.] 13:58, 26 July 2007 (UTC)

The above comment presents a problem which is not well understood. Relativists present the paradox as being the unusual result that the twins age differently. According to them, it is paradoxical that the travelling twin returns younger than the stay at home twin. That is not the paradox. The paradox is that this result does not follow from the principle of relativity and contradicts the mathematical formalism of the special theory of relativity. This explains why Einstein tried to solve it using general relativity in his 1918 paper. But that attempted solution failed, and no really adaquate solution has been found yet.] 14:05, 26 July 2007 (UTC)

:Here are my suggestions, anonymous:

::(1) Sign up for an account so I don't have to call you anonymous
::(2) Be bold, and make the corrective edits you believe are necessary - make sure to include authoritative references, please!
::(3) Important: Make sure to read and absorb the following warning which is printed below the edit box:
:::''If you don't want your writing to be edited mercilessly or redistributed by others, do not submit it.''
::(4) Also Important: Make sure to read and absorb this: ]

:Regards, ] 23:32, 26 July 2007 (UTC)

::The boring discussion over the meaning of the word "paradox" could be avoided by calling the article ' The twin "paradox" ' ] 22:48, 28 July 2007 (UTC)

::: Or just link to ]: "A '''paradox''' is an apparently true statement or group of statements that leads to a contradiction or a situation which defies intuition. Typically, either the statements in question do not really imply the contradiction, the puzzling result is not really a contradiction, or the premises themselves are not all really true or cannot all be true together." In this case, the puzzling result is not really a contradiction.
:::] 23:12, 28 July 2007 (UTC)

== Vandalism ==

Gscshoyru, you are a vandal. You are reverting edits before you have even had time to read them. This article is about the twin paradox. If you hover over this article trying to deny the paradox you are imposing your own opinion. This is vandilism.

The article is not here to afford the opportunity for people like you to give long discourses on what the likes of Paul Langevin has to say on the matter. (] 13:14, 26 July 2007 (UTC))

:I'm not a vandal. Deletion of so much content should be discussed first, with people who understand what the article is about, and whether or not the content you remove really is unnecessary. Wholesale removal of content is considered vandalism. ] 13:19, 26 July 2007 (UTC)

The stuff that was removed was waffle that was designed to undermine the very existence of the article in question. It was all pure opinion.

The article is entitled 'The Twin Paradox'. We therefore want to know what the twin paradox is. We can then make our own minds up about whether or not it is a paradox. We don't need somebody butting in to warn us in advance that it is not really a paradox. (] 13:25, 26 July 2007 (UTC))

:What most people think of as the definition of paradox is actually incorrect. A paradox is a ''seeming'' contradiction, not simply just a contradiction. It is in fact a paradox, whether or not it is a contradiction. The way that that paradox is resolved is perfectly fair game for article inclusion. ] 13:29, 26 July 2007 (UTC)

While I think that some of the stuff discussing why it is not a paradox could be reworded to fit more appropiatly with ], deleting it altogether definatly violates WP:NPOV, especially since the reasons why it is not a paradox are fairly widely accepted.] 13:31, 26 July 2007 (UTC)

::In that case, keep the introduction factual and then open up a new section for reasons to suggest that the paradox does not exist. (] 13:33, 26 July 2007 (UTC))

:::Sounds Fair to me. Lets leave the introduction as a definition asto what the paradox IS, and move the controversial stuff to a section called "Possible Explainations", "Other Viewpoints" or something similar. I think that will satisfy ] without deleting relavant information to the topic. If you want to do that, I will support it.] 13:43, 26 July 2007 (UTC) I
::::Same. ] 13:44, 26 July 2007 (UTC)

While you are solving this, I suggest that you read the referenced link given above so that you can understand the historical context of the problem.] 13:51, 26 July 2007 (UTC)

==No Solution To Twins Paradox==

The article attempts to make the claim that there is an adaquate solution to the twins paradox. However, I have in front of me five papers published in the European Journal Of Physics since 2002 that attempt to solve the paradox. Therefore, since attempts to solve it continue to be published, it is clear that it has not been solved, and the article should reflect this fact.] 14:21, 26 July 2007 (UTC)

:Here are my suggestions, anonymous:

::(1) Sign up for an account so I don't have to call you anonymous
::(2) Be bold, and make the corrective edits you believe are necessary - make sure to include authoritative references, please!
::(3) Important: Make sure to read and absorb the following warning which is printed below the edit box:
:::''If you don't want your writing to be edited mercilessly or redistributed by others, do not submit it.''
::(4) Also Important: Make sure to read and absorb this: ]

:Regards, ] 23:32, 26 July 2007 (UTC)

:: I concur with the first, but as for being bold, well, this article has been around a while. To avoid some of the merciless editing, propose any drastic changes on the talk page first. And the idea that the paradox is unsolved is ridiculous; any decent introductory-level textbook on SR should explain it.
::] 07:36, 27 July 2007 (UTC)

I guess I am confused. If the paradox is solved in any textbook, as you say, then it is a mystery why editors are continuing to publish solutions which differ with the textbooks. Do you know why? Do you read the Journals to keep up to date?] 16:15, 27 July 2007 (UTC)
:Reputable physics journals do not publish "solutions" to the twin paradox; in fact, there are no journals that could, because plain special relativity is not a current area of theoretical research anymore. (Quantum field theory, general relativity to some degree, and of course quantum gravity all are still active of course.) Journals which do publish such things may either be journals of fringe physics, or be duped into publishing such solutions because of lack of expertise. -- ] 16:21, 27 July 2007 (UTC)
:Ah! I've found the source of the confusion; see . The ''European Journal of Physics'' collections articles that are useful for undergraduate-level education, not current research. -- ] 16:25, 27 July 2007 (UTC)

== Slowing down? ==

I'm not exactly sure how it would actually ''be'', but what would be the result of the traveling twin ''slowing down'' with reference to the original inertial frame?

For example (and please excuse me if this would not be a viable example), what if he somehow managed to depart from the earth and remain stationary relative to the sun, perhaps by riding on a space-station-like statite? If I am understanding things correctly, he is not accelerating, and is instead slowing down relative to the Earth's natural movement.

Now, my initial reading of this article has it suggest that ''any'' change in velocity would result in a time-lag - no matter whether the astronaut speeded up or slowed down, he would be younger.

<blockquote>(NOTE: Everyday English has "acceleration" as referring to "speeding up" only, but in scientific circles it equally refers to "slowing down" so that all the physical changes in speed and direction necessary to get the rocket to come back—slowing down, stopping, turning around, speeding up again—can be covered by the umbrella term "acceleration". This is the way the word is used in this article.)</blockquote>

This seems to be contradictory to how the situation is later explained, as to that point, why couldn't the earth-bound twin be considered the one undergoing acceleration?

This has probably been asked over and over, and I will probably receive flame for asking a question I could probably have answered by doing my own work and looking for it - in that case, just tell me so. You don't even need to point me to the answer, I'll find it on my own and save you the trouble of removing my ignorance. Thank you for your time.] 08:05, 28 July 2007 (UTC)

:You are right, of course, that in physics acceleration can refer to either "speeding up" or "slowing down," because what appears to be the former in one reference frame may be the latter in another. (For example, if I am going 100 kph in a car, and I throw a ball backward at 30 kph, from my perspective in the car I "sped it up" to 30 kph, but from the perspective of someone watching by the side of the road I "slowed it down" to 70 kph.) But the object that is accelerating is not in question; all observers agree that the ball's velocity changed by 30 kph in the direction opposite from the motion of the car.
:It's the same thing in your example; you've just made things more complicated by introducing the motion of the sun and the earth into it. In truth, the earth is always accelerating, because it's moving in a circle around the sun. (Something moving in a circle is accelerating toward the center of the circle; see ].) The sun is also accelerating, because it (and the earth with it) are orbiting our galaxy. And the galaxy is accelerating too, being pulled by other galaxies and galaxy clusters! But none of this motion is enough to create noticeable effects due to special relativity. Thus if you stay in the solar system you need very special instruments to detect the difference in the twins' ages. But which one accelerated is still absolute, so the resolution of the apparent paradox still works. (More likely the both accelerated, but that just makes the math harder without changing the concepts.)
:By the way, you can ask questions like this on ]. -- ] 19:05, 28 July 2007 (UTC)

This is not a dumb question at all. I dont know the answer. I suspect no one else does either. Perhaps it explains why papers continue to be published regarding the solution of the paradox. Apparently, not all the questions have been answered by the claimed "solution" of it.] 14:38, 28 July 2007 (UTC)

:You're right that it's not a dumb question, but your suspicion that no one else does either is incorrect. See my answer above, and try to remember that ]. -- ] 19:05, 28 July 2007 (UTC)

Correction. What you meant to say is that it is not a soapbox, except for its editiors.] 23:49, 28 July 2007 (UTC)

:Not so. We have to have ] to back up changes we make to articles. (I admit I didn't post any such links for my answer to KrytenKoro's question, but I was just doing him a quick favor.) Besides, ''anyone'' can edit Misplaced Pages. -- ] 07:17, 29 July 2007 (UTC)
::Okay, but wouldn't the homebody's "trip" around the sun involve constant acceleration in order to create an elliptical orbit? As well as rotation of the Earth? Granted, the astronaut twin is drastically changing his speed by changing the speed he was going at ''when'' he left Earth, but hasn't the homebody, in his yearlong trip, had his speed changed ''much'' more? Or do the speed changes of an elliptical orbit cancel out? (These both seem hard to comprehend - on one hand, my mind really doesn't want to let go of "speed up-clock slow, speed down, clock fast", but the canceling out bit seems odd, as why would time wait for the full trip to happen in order to compensate for lag - in fact, wouldn't the "cancelling" out thing require my original slow-down fallacy to be true?) Basically, I cannot figure out how the small change of the astronaut overrides the seemingly huge change of the homebody.] 10:05, 29 July 2007 (UTC)
::: The Earth is constantly accelerating, but that's ''de minimis'' for this thought experiment. The Earth's speed around its orbit is 30 km/s, while the traveling twin is moving out and back at some large fraction of 300,000 km/s. If it bothers you, put one twin on a space station coasting through intergalactic space, and the other twin on a spaceship which goes away from the station and back, real fast.
:::] 14:16, 29 July 2007 (UTC)

After reading this article, it is obvious that the writer didn't understand the solution at all. It doesnt make sense, and it clearly can not be understood by the average reader. So it is basically useless as solution to the problem and unhelpful to a Misplaced Pages user. If this is an example of what accepted peer reviewed physics is, then it must be nonsense and we should not beleive it. ] 12:34, 29 July 2007 (UTC)

== How does Acceleration solve the twin paradox? ==

SCZenz clearly doesn't like this question which is why he keeps archiving it. How does acceleration solve the twin paradox? I have yet to see the mathematics of this. (] 19:00, 1 August 2007 (UTC))

: Actually, you have yet to ''look at'' and ''understand'' the mathematics of this, but this is not a classroom, remember. ] 19:12, 1 August 2007 (UTC)

DVdm, you supplied your own original research articles as an attempt to explain it. I read your articles and concluded that they were rubbish.

Acceleration is every bit as symmetrical as velocity. All of you have totally avoided this issue. (] 21:05, 1 August 2007 (UTC))

: Sorry, forgot to emphasise... Make that "''look at'' '''and''' ''understand''". ] 21:08, 1 August 2007 (UTC)
: Cheers, ] 21:08, 1 August 2007 (UTC)

No DVdm, you can't simply write rubbish and then console yourself with the idea that the fault lies with those who can't understand it.

You have a very simple task in hand. Show me why acceleration is not symmetrical. (] 21:17, 1 August 2007 (UTC))

: See which explains the asymmetry and does the math. --] | ] 22:18, 1 August 2007 (UTC)

I know the explanation for the assymetry. You claim that time only slows down for the clock which experiences non-gravitational forces.

I saw nothing in the maths that limited the acceleration terms to only those caused by non-gravitational causes. (] 14:49, 2 August 2007 (UTC))

: I think that you would do well to actually read my USENET posting. However:
:# There is no gravitation in SR, which is the domain of this exercise.
:# Even if the turnaround was caused by whipping around a star, the same change of viewpoint would have occurred betweent he entry to and exit from the star's gravity well. So the issue is the overall acceleration and not its cause.
: --] | ] 22:47, 2 August 2007 (UTC)

==Lets Resolve This Argument Now!==

This dispute has a simple solution. All that has to be done is to state the facts as they are. That the textbooks assert there is a solution. That the textbook solution is disputed, and there is no agreement about it. That physics journals continue to publish papers investigating alternative solutions to the problem, and no alternative has been universally agreed upon. It should also be stated what the criticism of the claimed solution is, so that readers can make their own informed decision about it. Further references and links should be given that represent both points of view. Finally, stop insulting people who have a reasonable reason to disagree with your personal opinion. ] 15:17, 2 August 2007 (UTC)
:The following statements above are false:
:*''the texbook solution is disputed, and there is no agreement about it'' &mdash; it is not disputed by any qualified physicists that I know of
:*''physics journals continue to publish papers investigating alternative solutions to the problem'' &mdash; no, since SR is not a current area of physics research. However, some education-oriented journals continue to publish alternate presentations of the "paradox" and its resolution.
:*''it should also be stated what the criticism of the claimed solution is'' &mdash; this would only be true if there were self-consistent criticism written by an expert; however, all such criticism I am aware of is fallacious or based on a fundamental misunderstanding of the explanation being criticized
:*''Further references and links should be given that represent both points of view'' &mdash; Nope, read ] more carefully, especially the ]
:I agree there's no need for insults. &mdash; ] 15:25, 2 August 2007 (UTC)

SCZenz, The textbook solution is disputed by numerous academics in university positions. (] 19:04, 2 August 2007 (UTC))
:Physicists? Cite some. &mdash; ] 19:13, 2 August 2007 (UTC)

SCZenz, I'm not going to bother giving you the definitive list but I'll mention a few that immediately spring to mind. Prof. Howard Hayden of the University of Connecticut. Prof. RA Waldron from some UK university who used to write into Radio and Electronic Engineer. There was Prof. Eric Laithwaite of Imperial College in London. Professor Stanislaw Kosowski in Warsaw. Dr. Rothwarf. Prof. Assis in Brazil.

Also, check up and see whether or not this guy agrees with Einstein's theories or not. http://en.wikipedia.org/Friedwardt_Winterberg

Don't just be so sure that there is no opposition to relativity amongst academia. (] 10:54, 3 August 2007 (UTC))

Herbert Dingle was a reputable physicist, definitely smarter than you, and he refuted the twins paradox. He was supported by L. Essen an expert on time at the NPL. Are you really as dumb as you seem??? You dont know anything at all. You guys need to fix this problem now. You need to resolve the problem as I said above. Your resistance only shows what fools you are.] 12:15, 3 August 2007 (UTC)

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AI generated image

Hello! I added an AI generated image to the article, because this is a subject where no image was present. Explaining the complex idea of the twin paradox requires a helping image, as this is a thought experiment, not something that has actually happened ever.

Using AI generated images for illustration purposes is not forbidden, (WP:AIIMAGE) and, in this case, there's no free alternative nor artist illustrations for this topic. At WP:IMGCONTENT we can read that "The purpose of an image is to increase readers' understanding of the article's subject matter, usually by directly depicting people, things, activities, and concepts described in the article.", which is exactly what this image is doing. Theklan (talk) 06:21, 24 September 2024 (UTC)

About the image generated by artificial intelligence, here is my humble argument in favor/defense of the AI (in this case) ​​and the permanence of the image.
Personally, I am in favor of keeping the image in question. The comment on the second removal helped me to understand the method adopted by the AI ​​when generating this image. I interpreted (with the help of the aforementioned comment) the apparently exaggerated difference between the ages shown in the image as an educational message. As if the AI ​​were showing the result if, hypothetically, the traveling twin had (without realizing it) exceeded/surpassed the speed of light and continued the trip normally (as if not, obeying the duration times predicted before the start of the trip). Although such an interpretation is beyond the basic proposal of the experiment, it is from my interpretative point of view that the image is extremely valuable as a learning mechanism. The choice of females to represent the twins in the paradox also impressed me a lot. GKNishimoto (talk) 23:44, 25 September 2024 (UTC)
Agreed. I have reverted that removal because of its extremely clueless rationale:

Misleading image shows vast age difference. 80 years in deep space or in orbit reduces aging by less than one second over an Earth-bound person by way of gravitational effect; and 80 years in the International Space Station reduces aging by less than two seconds by way of kinematical effect.

Apparently User:Donbenladd missed both the fact that this article is about a thought experiment (rather than a specific calculation about the ISS or something) and that such large age differences have been used by physicists to illustrate the issue since at least Langevin in 1911, as mentioned in this article (Upon return, the traveler will find that he has aged two years, while 200 years have passed on Earth). If Donbenladd thinks that all these physicists have been "misleading" the world for over a century and wants to educate the world on this personal theory, they should find a different venue than Misplaced Pages to publicize it (WP:NOR).
Regards, HaeB (talk) 22:37, 26 September 2024 (UTC)
Thanks @GKNishimoto for your comment. The prompt used helped with the age difference, because if you just write "some days older" you won't get any result. The prompt was The twin paradox. A twin comes from space travel and finds the other twin to be older. Two twins, one old, the other one dressed as an astronaut, young.. Theklan (talk) 17:35, 27 September 2024 (UTC)
I am opposed to the image's inclusion. I don't think it adds much to the article and find it fairly garish – most of the image is superfluous AI hallucination (the spacesuit, the blue magic waves, spacecraft in the background). I think the article stands just fine without an image. If this article must be illustrated with an image, why not a side-by-side of Mark and Scott Kelly? — Dan Leonardtalkcontribs 00:16, 27 September 2024 (UTC)
I too am opposed to the image's inclusion. I think it is ridiculous, and opens the door to more ridiculous images.Chjoaygame (talk) 04:52, 27 September 2024 (UTC)
As for garish and ridiculous: Tastes obviously differ, but we are not hosting an art competition here where judges get to enforce their personal aesthetic preferences. Rather, what's important here is if the illustration is likely to help readers understand and remember important points about the article's subject. Lots of texts about relativity use artistic illustrations for that purpose (see e.g. the grotesquely shaped astronaut figures in this NASA book.)
As for opens the door, that seems to be a WP:OTHERCONTENT slippery slope fallacy. (I mean, for sure not every article benefits from an AI-generated - or human-drawn - illustration. But these decisions need to be made on a case by case basis.)
Regards, HaeB (talk) 06:17, 27 September 2024 (UTC)
why not a side-by-side of Mark and Scott Kelly? - is that a serious question? Basically for the same reason that Langevin and many other physicists who have discussed this thought experiment since him did not choose a realistic travel duration and speed: Because the effect would be indetectable to the human eye (three milliseconds age difference for the Kelly twins according to one estimate).
As for AI hallucination, that term does not quite make sense here (it's not a photo after all), and not presented as such. Maybe you mean that the illustration would be a bit clearer without that extra detail, which, OK, is a reasonable discussion to have - although I can also see an argument that e.g. the spacecraft help to illustrate the notion of long-distance space travel that is central to the thought experiment. But that's not an argument for assuming that the reader would be better off without any such illustration at all.
Regards, HaeB (talk) 06:09, 27 September 2024 (UTC)
Ok! As visual content, I appreciated the art as a whole. But after spending last night talking to my imaginary friends, we came to the conclusion that it is best for me to change my mind and be in favor of not including the image. In favor/defense of those who oppose the inclusion of the image, I believe that the appropriate argumentative basis would be:
  • Possible incompatibility with the usage licenses adopted on Misplaced Pages.
    • Since it is an image generated by artificial intelligence, if it cannot be proven that the terms of use of the AI ​​that generated the image allow it to be republished under the license adopted by us (and that the image was, in fact, generated by such AI), we should not include it in the article (nor keep it on Commons).
I believe that as a non-governmental, non-profit organization with academic purposes, we are even tolerated by the rest of society, but we cannot (at this time) enjoy this immunity in a way that is contrary to what we have already established as standard rules and ethics.
Note: It's like explaining to an ex-girlfriend that the problem isn't her. Also saves bandwidth and storage space.
I thank all the colleagues involved in this discussion (helped me reorganize my reasoning), but especially HaeB, who understood and supported my apparently insane passion for AI-generated works and their "imperceptible flaws".
If I remember correctly,

"Intelligence is the ability to adapt to change."

— Stephen Hawking
GKNishimoto (talk) 13:39, 27 September 2024 (UTC)
if it cannot be proven that the terms of use of the AI ​​that generated the image allow it to be republished under the license adopted by us - such speculative legal concerns have long been sorted out, see Misplaced Pages:Restricted materials or its Commons c:Commons:Non-copyright restrictions (and its application to AI-generated media: c:Commons:AI-generated_media#Terms_of_use_of_AI_providers). Similar for and that the image was, in fact, generated by such AI - we don't require such proof for other kinds of image uploads. But in any case we happen to have such proof in this particular case, as the uploader helpfully linked the Bing Image Creator source page in the file description.
Regards, HaeB (talk) 16:22, 27 September 2024 (UTC)
Indeed, uploading images created by AI is accepted, and now the Wikimedia Commons uploading wizard even has a check for AI generated images, where the generator used should be specified. However, I made some changes to the image myself, like deleting the US flag the original astronaut image had). Theklan (talk) 17:39, 27 September 2024 (UTC)
My only concern was related to the legal aspect of the situation (I'm quite "lazy" when it comes to checking every detail). Since I've seen that my colleagues are experienced (most of them have more than 10 years of experience with Misplaced Pages), I have no intention of opposing whatever is decided.
The artistic appeal of the image is wonderful, but I believe that our traditional/conservative colleagues are defending the minimum necessary style (with only the necessary diagrams and calculations). Exactly how classes focused on exact sciences used to be.
Note: Impressive (about Bing Image Creator)... Before I gave up and went for Linux, Microsoft didn't allow it that way, so "easily". Thank goodness times are changing, for the better. I think we can go back to agreeing with the famous "Better together”. GKNishimoto (talk) 19:03, 27 September 2024 (UTC)
The French Misplaced Pages article Paradoxe des jumeaux uses diagrams with clocks to illustrate the paradox. These are drawn in a very simple style and could be structured more clearly, but are perhaps more educationally useful than a single drawing of the moment when a young astronaut meets their older twin. Belbury (talk) 11:14, 28 September 2024 (UTC)
I find the clocks very confusing in this illustration; in Theklan's AI image(s) it is much clearer that the space traveling twin is the one who aged less. I agree in principle that using more than one image in the illustration (or even an animation?) could be worth exploring. Regards, HaeB (talk) 12:10, 28 September 2024 (UTC)
I agree with this. The standard illustration of this paradox is a diagram, not two people side-by-side. Even if the image lacked the sci-fi nonsense it would still be a poor illustration of the idea in the article. We can see this example in how others illustrate the paradox:
I think if we must illustrate this article, we should follow the visual tradition of past reliable sources in this regard and use a similar diagram. As far as I can tell the three I just cited are non-free so until someone makes such a diagram the article should remain illustrated just by the more abstract spacetime diagrams currently in use. — Dan Leonardtalkcontribs 18:42, 28 September 2024 (UTC)
I don't oppose the use of an AI illustration in general, but I don't like that this one has (a) a portal between the twins and (b) an overabundance of spaceships in the background. Firefangledfeathers (talk / contribs) 12:16, 27 September 2024 (UTC)
This is a reasonable criticism. (I mean, regarding (b), as mentioned above, I think having some spacecraft in the background can be useful for conveying the long-distance space travel part of the thought experiment, but that could be done with fewer of them.) @Theklan: could you try to work on this e.g. by generating more variations and possibly modifying the prompt? (Or by modifying this particular image directly - I don't know if the current version of Bing Image Creator has that functionality.) Regards, HaeB (talk) 16:22, 27 September 2024 (UTC)
I can delete the spacecraft from the image using an image editor. However, I don't know if this will change the mind of others here. Theklan (talk) 17:40, 27 September 2024 (UTC)
The same image without spaceships in the background.
Here there is a copy of the same image without spaceships in the background. If someone needs to add something in the back (like an equation) it can be done, for sure. Theklan (talk) 17:45, 27 September 2024 (UTC)
Great, what about (a) (removing the "portal"-like disk/circles between the twins)? Regards, HaeB (talk) 18:01, 27 September 2024 (UTC)
@HaeB that may be more difficult, as there's a light effect for them. I can try, buy it will take more time. Theklan (talk) 18:46, 27 September 2024 (UTC)
original version
Thanks, looking forward to the next version. In the meantime I have updated the article already with the one that resolves (b).
For reference (so that the above comments don't become intelligible), here is the original version again.
Regards, HaeB (talk) 01:41, 28 September 2024 (UTC)
The sci-fi elements seem extremely distracting and misleading here, I've removed the image while this is still being worked on.
The focus of the thought experiment is that a person can take an otherwise unremarkable rocket trip and return home to find that their twin has aged. There would be no arcing electricity or glowing portal at this meeting, and no sense of danger in the two siblings touching hands.
If we think a simple concept like the traveler returns home to find his twin brother much aged compared to himself needs an illustration, perhaps work from the ground up describing that to your AI, rather than asking it to draw a "paradox" as part of the prompt and trying to manually clean up its wild sci-fi ideas of what the general concept of "a paradox" would look like if it appeared in front of somebody. Belbury (talk) 10:58, 28 September 2024 (UTC)

Arbitrary break

  • Due to a few days of absence, I have not read the above discussion, but I fully agree with the latest removal of the image. The image is nicely made, but it adds nothing to the article. On the contrary, it might give the impression that the travelling twin is somewhere in space when their ages are compared, whereas the essence of the paradox, is that the twins are physically reunited when the comparison is made. I.o.w. that barrier between the twins should not be there. Furthermore, when they are reunited, the travelling twin does not need her space helmet and suit anymore . - DVdm (talk) 12:21, 28 September 2024 (UTC)
    As for my removal of the image: The image was at the top of the article -- not adjacent to the History section with the thought experiments where its caption can at least be considered a short-hand reference to thought experiments. As it was, the caption was misleading: "The twin in space is younger than the twin that was on Earth" gives the impression that one twin simply being in space during the twins' lifetime can generate such a vast difference in aging. Such a difference in aging between two twins during the lifetime of the Earth-bound twin can occur only if there is sufficient distance and speed involved. Simply "being in space" cannot generate more than a second of time difference between the twins (unless the "in space" twin is also in orbit, in which case it's still less than three seconds). Not a good idea to give an impression of vast age difference with such prominence at the top of the article. In fact, the caption had an absurd structure: "The twin in space" implies the twin "is" in space, while the other twin "was" on Earth -- and they're not even reunited yet. Donbenladd (talk) 12:58, 28 September 2024 (UTC)
    @Donbenladd This is a thought experiment, not a real calculation about aging for a given ISS mission. i suggest to see the classical Carl Sagan's Cosmos for s very similar ageing metaphor, making the point that the paradox wants to make: Video on YouTube Theklan (talk) 17:55, 28 September 2024 (UTC)
    The thought experiment is usually discussed with respect to the traveling twin moving at approximately c, and has nothing to do with current space travel. It's a standard example of relativistic time dilation for the classroom. — Dan Leonardtalkcontribs 18:24, 28 September 2024 (UTC)
    FWIW, I agree with this, as usually the twin paradox is about a visibly older returning twin traveller. But I think that this particular part of the discussion is not really relevant to the question wether the image is warranted in this article. - DVdm (talk) 18:59, 28 September 2024 (UTC)
  • During the ISS year-long mission, astronaut Scott Kelly (right) aged 13 milliseconds less than his earthbound twin brother Mark (left).
    In lieu or in addition to a diagram (which would be optimal), I'd like to propose the following addition to the article. I don't know if it's acceptable at the top of the article (as it's slightly misleading as the visual differences between the brothers are not due to age) but I also am not sure which section of the article would be best for it. — Dan Leonardtalkcontribs 19:06, 28 September 2024 (UTC)

References

  1. Kelly, Scott (2017-10-29). "'I came back from space younger than my twin'". The Guardian (Interview). Interviewed by Andrew Anthony. Archived from the original on 2017-11-02. Retrieved 2024-09-28. I was already six minutes younger than Mark but, as Einstein predicted, I've come back six minutes and 13 milliseconds younger after a year in space.
  2. Luokkala, Barry B. (2019). Exploring Science Through Science Fiction. Science and Fiction (2nd ed.). Cham, Switzerland: Springer. p. 32. doi:10.1007/978-3-030-29393-2. ISBN 978-3-030-29393-2. OCLC 1126541494. OL 20717998W. A year-long experiment conducted aboard the International Space Station (ISS) provides us with a real-life application of the twin paradox. From March 27, 2015, through March 1, 2016, U.S., astronaut Scott Kelly spent nearly a year aboard the International Space Station, while his identical twin brother, Mark Kelly, remained on Earth.
IMO that's more of a (funny) little joke than a useful addition - DVdm (talk) 19:16, 28 September 2024 (UTC)
I'd be inclined to agree; however, when I was looking for a citation I noticed that lots of reliable sources mentioned the 13 ms difference in age when reporting on Kelly's return to Earth. I think it shows that many RSs – including NASA themselves – consider this real-world example a good starting point for laymen to understand the effects of time dilation and the twin paradox. — Dan Leonardtalkcontribs 19:19, 28 September 2024 (UTC)
Yes, I'm inclined to change my mind. If there are indeed more relevant sources, the image with the caption and at least two citing sources might be a really good idea after all. It also has a pretty strong educational advantage: showing the scale of a real world example of the subject. - DVdm (talk) 20:02, 28 September 2024 (UTC)
Actually, I'm beginning to think that this is an excellent suggestion, so as far as I'm concerned, go ahead. - DVdm (talk) 20:04, 28 September 2024 (UTC)
Good job, this. It would also be a good idea to put it in another article at the start of Time dilation#Combined effect of velocity and gravitational time dilation. - DVdm (talk) 09:10, 29 September 2024 (UTC)
Is the following correct?
Assuming a net lesser aging for Scott over the 340-day period of precisely 0.013 seconds, then it seems that the positive and negative accelerations of launch and re-entry generated 0.0229 seconds of lesser aging for Scott in addition to his lesser aging of 0.0105 seconds due to the kinematical effect of orbital inertial motion (17,900 mph).
I'm basing that on the increased aging for Scott of 0.0204 seconds due to 340 days of weightlessness as per the "Outside a non-rotating sphere" section of the Gravitational time dilation article. (The calculation in that section does not take into account the apparently trivial effect of the rotation of the earth for the twin on the surface of the earth. It also incorporates a "clock at infinite distance" from the earth; but that would be identical to the effect of orbital weightlessness.)
Lesser aging:
10.5 milliseconds kinematical
22.9 milliseconds for positive and negative acceleration
Greater aging:
20.4 milliseconds for weightlessness
Net:
13.0 milliseconds lesser aging
I wouldn't expect the short durations of just a few g's during launch and re-entry to compare so closely to 340 days of zero g vs one g.
It might be nice to get a handle on the specifics of the combined effects in the event that someone might be wondering. Donbenladd (talk) 14:44, 29 September 2024 (UTC)
Can't discuss this here per wp:TPG. - DVdm (talk) 18:25, 29 September 2024 (UTC)
Thanks, and I was amazed by the correction to my long-standing misconception. Donbenladd (talk) 14:08, 1 October 2024 (UTC)
@Donbenladd: I undid your most recent change, as that new source () and your talk page comments are of a less reliable nature than the existing sources. Please do not make similar changes without getting some kind of wp:consensus on this talk page first, and make sure to bring along more reliable sources to back the discussion — see wp:Talk page guidelines. - DVdm (talk) 16:58, 12 October 2024 (UTC)
Just as you were undoing my revision, I did update my talk page with the following:
"Why did Scott state 13 milliseconds in his interview per the previously referenced source? Apparently, he was referring to the combination of his combined GR/SR clock-decrease (using roughly 8 milliseconds) and his biological aging increase of roughly 5 milliseconds (that 5-millisecond value we see here and there on the Net)."
This would mean that the 13 milliseconds in the caption is including the biological aspect, which of course is outside of the GR/SR time-dilation.
I hope you'll check my calculations which confirm the value for GR/SR combined effect as stated in the source I provided.
Thanks for directing me to discuss it on this page. Donbenladd (talk) 17:12, 12 October 2024 (UTC)
I'm beyond absent-minded: 8 - 5 = 3. I had Scott perhaps adding 5 to 8. I have no idea how he arrived at 13 milliseconds. Donbenladd (talk) 17:23, 12 October 2024 (UTC)
No, sorry, I'm not going to check your calculations. Here we can only discuss based on reliable sources along Misplaced Pages standard. - DVdm (talk) 17:28, 12 October 2024 (UTC)
Thanks. I'll search for a rock-solid source by and by. Donbenladd (talk) 17:36, 12 October 2024 (UTC)
Considering that no two sources are equally reliable, shouldn't one use, as a reliable source, the one that contains the correct number as easily verified by consensus-calculation among[REDACTED] editors of an article -- especially when there is such a large disparity between the two sources regarding the number?
I read the "Misplaced Pages:Reliable sources" article for which you provided a link. Quartz does not seem to fail any reliability test that I could find in that article.
See the Misplaced Pages article: https://en.wikipedia.org/Quartz_(publication)
Quartz is a large international publication founded in 2012 by members of Bloomberg, The Economist, The New York Times and The Wall Street Journal.
The source is very reliable. It seems the only thing missing is a consensus here on which of the two reliable sources provide the correct number. The calculation can be done in just a couple minutes.
I will give this a rest for now. Donbenladd (talk) 18:15, 12 October 2024 (UTC)
My opinion is that the twin paradox is unresolved and that there is no definite right answer that has consensus. I would say that something that has the consensus of Bloomberg, The Economist, The New York Times, and The Wall Street Journal is necessarily unreliable on the present topic. The problem is conceptual, not to be resolved by simple calculations.Chjoaygame (talk) 00:20, 13 October 2024 (UTC)
See: https://en.wikipedia.org/Time_dilation#Experimental_testing_3
The theoretical combined effects of GR and SR on time-keeping have been extensively experimentally tested. The predictions of time-dilation are in agreement with experimental results, and were made using the same simple equations that are applied to the ISS mission, as seen in the graph which is part of the section linked to above.
In fact, the graph indicates 25 microseconds per day (8.5 milliseconds per 340 days) combined SR/GR time-difference for ISS, in keeping with those simple equations. Donbenladd (talk) 00:58, 13 October 2024 (UTC)
Thank you for your response. I can see that you feel that it is all sorted. I would say that different processes can be affected differently by acceleration. In particular, I don't see why biological aging will be affected by acceleration in the same way that atomic clocks are.Chjoaygame (talk) 01:58, 13 October 2024 (UTC)

The caption for the Scott & Mark Kelly image

The Scott & Mark Kelly image replaced the AI image.

One of the sources (ref 1) in the current caption gives a value of 13 milliseconds simply by way of quoting Scott Kelly, who gave no indication of whether that was a GR/SR effect, a biological effect of orbital weightlessness, or some combination of the two. The other source (ref 2) has a non-functioning specific link (OL 20717998W: Bing: "can't reach this page"), so I could find nothing there to corroborate ref 1.

Nor can I find any source on the Net that specifies 13 milliseconds without simply repeating Scott's words as quoted in the article referenced (ref 1 in the caption).

If, as seems apparent, Scott was referring to the combination of his combined GR/SR lesser aging (using 8 milliseconds) and a biological age increase of 5 milliseconds due to orbital weightlessness (that 5-millisecond value we see here and there on the Net, but which actually refers to six months in orbit aboard ISS and is incorrectly used by Mark Kelly in an interview), and then accidentally added instead of subtracting, he would obtain 13 milliseconds. Easy mistakes to make. But of course, the Twin Paradox article should not include any aging difference relating to the effect of orbital weightlessness in any case.

A graph accompanying the Misplaced Pages "Time Dilation" article indicates about 25 microseconds per day (8.5 milliseconds per 340 days) combined SR/GR time-difference for ISS, in keeping with the simple equations for GR and SR time-dilation. And note the smooth lines connecting ISS to all the satellites.

https://en.wikipedia.org/Time_dilation#Experimental_testing_3

Quartz, a reliable source by Misplaced Pages standards, states the correct value for the GR/SR combined time difference, which is 8.6 milliseconds. See my talk page.

Quartz is described in a Misplaced Pages article: https://en.wikipedia.org/Quartz_(publication)

The Quartz article to be referenced:

https://qz.com/370729/astronaut-scott-kelly-will-return-from-a-year-in-space-both-older-and-younger-than-his-twin-brother

Without objection, I will change the caption to read:

During the ISS year-long mission, astronaut Scott Kelly (right) aged 8.6 milliseconds less than his Earthbound twin brother Mark (left) due to relativistic effects.

And when the Wayback Machine is online again, I'll add the archived page to the reference. Donbenladd (talk) 08:11, 13 October 2024 (UTC)

I don't think that a simple article in Quartz (publication) by some non-notable author is a reliable source, even if Quartz has an article in Misplaced Pages. Many publishers and websites have an article, but are not considered reliable sources. See, for instance the entries on the WP:SPSLIST and all the ones marked as unreliable in wp:perennial sources. I think that the combination of a Springer text-book and the Kelly primary source is stronger. - DVdm (talk) 11:48, 13 October 2024 (UTC)
I didn't claim that the mere existence of a Misplaced Pages article implies Quartz is a reliable source. Rather, I provided a link to that Misplaced Pages article. Higher on this talk page, I wrote: "I read the Misplaced Pages:Reliable sources article for which you provided a link. Quartz does not seem to fail any reliability test that I could find in that article." Show me how it fails a reliability test.
I don't think the combination of the Guardian article and a dead Springer link (show me a quote from the Springer reference) is a stronger source than the Quartz article.
We have Mark Kelly quoted in a space.com article saying that he was another 5 milliseconds older than Scott as a consequence of the ISS mission. The only context in that article is "Einstein's Time Dilation".
We have Scott Kelly quoted in the Guardian article as saying that he aged 13 milliseconds less than Mark as a consequence of the ISS mission. And Scott's exact words in that article are: "as Einstein predicted, I’ve come back six minutes and 13 milliseconds younger." (He had begun the mission six minutes younger than his twin brother.)
I don't think Scott or Mark Kelly are reliable sources.
See the graph accompanying the Misplaced Pages Time Dilation article as a reality check. Donbenladd (talk) 13:16, 14 October 2024 (UTC)
(Incidentally, the 5-millisecond value Mark Kelly provided seems to be an accidental reference to a European Space Agency release that is referring to a six-month ISS mission (Butch Wilmore and Suni Williams) and to only the SR effect. See the New York Post article that references the European Space Agency statement. Elsewhere on the Net, a 5-millisecond value is referred to as an effect of simply being weightless for six months, which would be a ridiculous number.) Donbenladd (talk) 14:53, 14 October 2024 (UTC)
Ok, no problem. - DVdm (talk) 05:33, 20 October 2024 (UTC)

Contradiction: Acceleration

The start of the introduction correctly states that acceleration breaks the symmetry in the Twin Paradox, but the end of the introduction falsely claims that it can be "resolved" without taking into account acceleration somehow. I think this misunderstanding can be traced back to a Fermi Lab Youtube video, in which they simply beg the question of which twin ought to be thought of to be in two seperate inertial frames. The answer is of course acceleration, which the rest of this article correctly points out. 2A02:810D:1600:3BF8:7371:A91E:AA0E:C7DF (talk) 13:30, 15 October 2024 (UTC)

Everything can be perfectly explained and "resolved" with or without acceleration, as is shown in ample reliable sources througout the article. - DVdm (talk) 05:32, 20 October 2024 (UTC)
Correct me if I am mistaken, but I think that the just foregoing remark relies on the clock hypothesis?Chjoaygame (talk) 08:09, 20 October 2024 (UTC)
Off topic here, but yes, on the clock hypothesis or simply on the definition of the spacetime interval, upon which the entire modern formulation of special relativity can be built. - DVdm (talk) 12:36, 20 October 2024 (UTC)
I only found this error at one place in the article and there is no citation, but rather an argument about two travelers passing each other replacing the outgoing twin. That argument is from a Fermilab Youtube video, which I think is the source of this confusion. Why can one twin be replaced with two travelers rather than the other? The answer is that one is accelerated by the space ship. Indeed that's the only thing breaking the symmetry. All other accounts invariably assume absolute location or absolute motion.
The rest of the article correctly points this out, it's really just that one sentence. 2A02:3038:619:2D33:60B5:97CB:2C8F:E09A (talk) 16:39, 28 October 2024 (UTC)

Elapsed time sections

The sections at the end calculating elapsed time for a rocket with finite acceleration cover two different examples. The first section "as a result of differences in twin' spacetime path" sends the rocket on a short journey, and has the elapsed times T=12, tau=9.33 for the two twins. The section "how to calculate it from the ship" sends the rocket on a longer journey, and has the result T=17.3 and tau = 12.

I was brought to this article by an anti-relativist convinced that this is a contradiction - "the spacetime path method gives T=12, tau=9.33, the spaceship method gives T=17.3, tau = 12". The different methods give different answers.

I think it would be clearer to consider the *same* journey in both cases - I would be willing to redo the calculation and redraw the figures.

Alternatively, it should be made very clear that the two elapsed time calculations apply to different journeys (for reasons...) so should not give the same answer. PCrayfish (talk) 11:02, 6 December 2024 (UTC)

I don't think that it is necessary to recalculate/redraw. Indeed, this is a different voyage than the one shown before, as both schemes take the same assumed total point-of-view time: T=12 (stay-at-home), resp τ=12 (ship), so the results of the calculation of the other-one's times must be different: τ=9.33 (ship), resp T=17.3 (stay at home).
Having identical point-of view times is probably better than having different ones, otherwise the choice of phase times of a fraction of 2 units would seem arbitrary. But it is indeed a good idea to explicitly specify this in the caption of the latter image. I have done that: . - DVdm (talk) 13:51, 6 December 2024 (UTC)
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