Twin paradox | Wikipedia audio article |
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This is an audio version of the Wikipedia Article:
Twin paradox 00:02:01 1 History 00:05:49 2 Specific example 00:06:04 2.1 Earth perspective 00:06:43 2.2 Travellers' perspective 00:06:56 2.3 Conclusion 00:07:41 3 Resolution of the paradox in special relativity 00:07:58 3.1 Role of acceleration 00:08:22 3.2 Relativity of simultaneity 00:08:41 4 A non space-time approach 00:09:11 5 The equivalence of biological aging and clock time-keeping 00:09:36 6 What it looks like: the relativistic Doppler shift 00:10:59 6.1 The asymmetry in the Doppler shifted images 00:12:17 7 Calculation of elapsed time from the Doppler diagram 00:13:54 7.1 The distinction between what they see and what they calculate 00:15:54 7.2 Simultaneity in the Doppler shift calculation 00:16:34 8 Viewpoint of the traveling twin 00:18:54 9 Difference in elapsed time as a result of differences in twins' spacetime paths 00:20:45 10 Difference in elapsed times: how to calculate it from the ship 00:22:46 11 A rotational version 00:23:39 12 No twin paradox in an absolute frame of reference 00:24:00 13 See also 00:24:36 14 Primary sources 00:25:02 15 Secondary sources 00:25:10 16 Further reading 00:28:08 17 External links 00:29:14 undefined 00:30:43 undefined 00:32:18 undefined 00:40:17 undefined 00:46:44 undefined 00:47:02 undefined 00:47:05 undefined 00:47:15 undefined 00:47:51 undefined 00:51:12 undefined 00:51:37 undefined 00:51:47 undefined 00:51:56 undefined 00:53:15 undefined Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. You can find other Wikipedia audio articles too at: https://www.youtube.com/channel/UCuKfABj2eGyjH3ntPxp4YeQ You can upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts "The only true wisdom is in knowing you know nothing." - Socrates SUMMARY ======= In physics, the twin paradox is a thought experiment in special relativity involving identical twins, one of whom makes a journey into space in a high-speed rocket and returns home to find that the twin who remained on Earth has aged more. This result appears puzzling because each twin sees the other twin as moving, and so, according to an incorrect and naive application of time dilation and the principle of relativity, each should paradoxically find the other to have aged less. However, this scenario can be resolved within the standard framework of special relativity: the travelling twin's trajectory involves two different inertial frames, one for the outbound journey and one for the inbound journey, and so there is no symmetry between the spacetime paths of the twins. Therefore, the twin paradox is not a paradox in the sense of a logical contradiction. Starting with Paul Langevin in 1911, there have been various explanations of this paradox. These explanations "can be grouped into those that focus on the effect of different standards of simultaneity in different frames, and those that designate the acceleration [experienced by the travelling twin] as the main reason". Max von Laue argued in 1913 that since the traveling twin must be in two separate inertial frames, one on the way out and another on the way back, this frame switch is the reason for the aging difference, not the acceleration per se. Explanations put forth by Albert Einstein and Max Born invoked gravitational time dilation to explain the aging as a direct effect of acceleration. General relativity is not necessary to explain the twin paradox; special relativity alone can explain the phenomenon.Time dilation has been verified experimentally by precise measurements of atomic clocks flown in aircraft and satellites. For example, gravitational time dilation and special relativity together have been used to explain the Hafele–Keating experiment. It was also confirmed in particle accelerators by measuring the time dilation of circulating particle beams. |