Twin Paradox Resolution

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    Special relativity
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Discussion Overview

The discussion revolves around the Twin Paradox, specifically examining the logical explanations and misconceptions surrounding the scenario where one twin travels at high speed while the other remains on Earth. Participants explore the implications of length contraction and time dilation as they relate to the experiences of both twins during the journey and upon reunion.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant questions the logic of the explanation regarding how each twin perceives the other's length contraction and the implications for their respective ages upon reunion.
  • Another participant suggests that length contraction might complicate the understanding of time dilation for those already struggling with the Twin Paradox.
  • A different viewpoint emphasizes that the misconception at the heart of the Twin Paradox is the assumption of symmetry between the twins' situations, which is challenged by the original poster.
  • One participant expresses satisfaction with their understanding of the paradox, indicating a resolution to their confusion.

Areas of Agreement / Disagreement

Participants express differing views on the explanations of the Twin Paradox, particularly regarding the roles of length contraction and time dilation. There is no consensus on the best approach to clarify the paradox, and the discussion remains unresolved.

Contextual Notes

Some participants note that misconceptions about symmetry in the twins' experiences contribute to the confusion surrounding the paradox. The discussion highlights the complexity of reconciling the effects of special relativity in this scenario.

CSnowden
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TL;DR
Looking for logical fault in a simple explanation of the Twins Paradox
In what sense is the following explanation of the Twins Paradox faulty in logic:

Each twin views the other as length contracted, but the twin on earth only sees the rocket in motion and thus shortened (along with the twin) while the destination planet is at rest in the earth frame and the distance to it is not contracted. However, the rocket twin sees the destination planet approaching at high speed and thus the entire distance to the planet is contracted and covered in a shorter time. The Return Trip seems subject to identical considerations of shorter travel versus the Earth Twin..

It is true that the rocket twin will see time passing more slowly on the Earth Twin's clock and so they will arrive back with their version of the Earth Twin's clock consistent with their shorter trip and their earlier age.
 
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Totally have it now, many thanks - this can be closed now!
 
I guess you could make an explanation of the twin paradox based on length contraction. But I think most people who struggle with time dilation in this scenario will struggle even more with length contraction.
 
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As with any misguiding paradox, one should address the misconception that leads to the paradox. IMO, they have no problem with SR time dilation or length contraction. In the Twins Paradox, the basic misconception is the belief that the situation of the two twins is symmetrical and identical. The OP shoots holes in that belief in a simple way. I think it is a good point.
 
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