Confusion regarding acceleration in SR

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Discussion Overview

The discussion revolves around conceptual confusion regarding acceleration in the context of special relativity (SR), particularly as it relates to the twin paradox. Participants explore how acceleration affects perceptions of simultaneity and the passage of time between two observers in relative motion.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about how Bob's perception of Alice's time changes rapidly during his acceleration, despite the light reaching him being independent of his motion.
  • Another participant suggests that "Bob's frame simultaneity" and "what Bob sees" are different, emphasizing that simultaneity is a convention, especially in accelerating frames.
  • It is proposed that the rate at which Bob sees Alice's clock tick is determined by the Doppler effect rather than time dilation.
  • Some participants discuss the distinction between the twin paradox and the Andromeda paradox, noting that changing reference frames alters the labeling of distant events.
  • One participant mentions the equivalence principle, suggesting that during acceleration, Bob's time runs slower compared to Alice's, complicating the understanding of simultaneity.
  • There are suggestions to use diagrams to clarify the concepts being discussed, with some participants expressing a desire to visualize the scenarios better.
  • Another participant argues that Bob's observations during a brief acceleration should not change significantly, questioning how the light reaching him could reflect different events post-acceleration.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of simultaneity and the effects of acceleration on observations. Multiple competing views are presented, and the discussion remains unresolved regarding the implications of acceleration on the perception of time and simultaneity.

Contextual Notes

Participants highlight limitations in their understanding, particularly regarding the assumptions about light travel time and the effects of acceleration on simultaneity. There is also mention of the need for clearer visual representations to aid in comprehension.

  • #61
sophiecentaur said:
Perhaps you could translate those links instead and help with identifying and explaining the 'preferred frame'. Those links introduce so much other stuff that my paths is getting more divergent than the convergent I was hoping for.
The links are specifically about it, as are many threads here already. Here the PDF of the Weeks article:
https://www.math.uic.edu/undergraduate/mathclub/talks/Weeks_AMM2001.pdf
 
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  • #62
A.T. said:
The links are specifically about it, as are many threads here already. Here the PDF of the Weeks article:
https://www.math.uic.edu/undergraduate/mathclub/talks/Weeks_AMM2001.pdf
Thank you.
 
  • #63
anorlunda said:
It is really hard to textile questions like this with words. Draw diagrams.
Yes, Minkowsky diagrams with light cones. Since the light paths are invariant pick any two coordinate systems "moving" and "stationary" and compare "events"; where the cones intercept world lines. You get wave crests (that start at different times) or clock ticks or whatever (birthdays..).
 

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