The Twin Paradox: Mike & Angela's Frame of Reference

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Discussion Overview

The discussion centers around the twin paradox, specifically examining the frames of reference of two twins, Mike and Angela, where Mike remains on Earth and Angela travels at relativistic speeds. Participants explore the implications of acceleration and inertial frames in the context of special relativity.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about why Angela would not perceive Mike's frame as accelerating, similar to how Mike perceives Angela's frame during her journey.
  • Another participant asserts that Angela experiences acceleration during her trip, which indicates she is not in an inertial frame, thus breaking the symmetry of the situation.
  • A different viewpoint emphasizes that since Angela is the one accelerating, her frame is non-inertial, while Mike's frame remains inertial, leading to the conclusion that Angela does not see Mike's frame as accelerating.
  • Another participant suggests that if accelerated reference systems are used, both twins could perceive each other's frames differently, but emphasizes that a change of velocity relative to inertial frames is what fundamentally breaks the symmetry.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are multiple competing views regarding the perception of acceleration in the twin paradox scenario. Some argue that Angela's acceleration breaks the symmetry, while others explore the implications of different reference frames.

Contextual Notes

The discussion highlights the complexity of defining inertial versus non-inertial frames and the assumptions involved in interpreting the twin paradox. There are references to specific literature that may provide additional context but are not universally accepted by all participants.

Who May Find This Useful

This discussion may be of interest to those studying special relativity, particularly in understanding the implications of acceleration and frame of reference in the twin paradox scenario.

delve
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I am confused about the twin paradox. Let's imagine Mike and Angela are twins. Mike stays on Earth, and Angela rockets off, away from Earth at close to the speed of light, with the intention of making a round trip back to Earth at the end of her voyage. My question is this: why wouldn't Angela see Mike's frame of reference as accelerating and decelerating, just as Mike sees Angela's frame of reference as accelerating and deceleration? Thank you.
 
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delve said:
I am confused about the twin paradox. Let's imagine Mike and Angela are twins. Mike stays on Earth, and Angela rockets off, away from Earth at close to the speed of light, with the intention of making a round trip back to Earth at the end of her voyage. My question is this: why wouldn't Angela see Mike's frame of reference as accelerating and decelerating, just as Mike sees Angela's frame of reference as accelerating and deceleration? Thank you.

Angela feels the force of acceleration twice on her journey. She knows she is not in an inertial frame of reference. That is what breaks the symmetry of the scenario.
 
it is angela who is accelrating and hence is affected by it...angela's frame is not an inertial frame but an accelerated one...on the other hand...no force is acting on mike...so his frame is an inertial frame...so angela won't see mike's frame as accelerating or decelerating...becoz the force is acting on angela and not on mike...
 
delve said:
I am confused about the twin paradox. Let's imagine Mike and Angela are twins. Mike stays on Earth, and Angela rockets off, away from Earth at close to the speed of light, with the intention of making a round trip back to Earth at the end of her voyage. My question is this: why wouldn't Angela see Mike's frame of reference as accelerating and decelerating, just as Mike sees Angela's frame of reference as accelerating and deceleration? Thank you.

That is what they see if they use accelerated reference systems; and nature doesn't care. A change of velocity (as defined with respect to inertial reference systems) breaks the symmetry. That was already elaborated in the first paper on this topic, here (p.47, and on from p.50):
http://en.wikisource.org/wiki/The_Evolution_of_Space_and_Time
 

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