Confusion regarding acceleration in SR

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SUMMARY

The discussion centers on the conceptual confusion surrounding simultaneity and acceleration in the context of the twin paradox and the Andromeda paradox. Participants clarify that Bob's perception of Alice's time changes rapidly due to the Doppler effect rather than time dilation. They emphasize that during Bob's acceleration, his frame of reference shifts, leading to a different interpretation of simultaneity. The conversation highlights the importance of understanding Lorentz transformations and the implications of changing inertial frames in relativistic physics.

PREREQUISITES
  • Understanding of the twin paradox and Andromeda paradox in relativity
  • Familiarity with Lorentz transformations and their implications
  • Knowledge of the Doppler effect in the context of light and motion
  • Basic grasp of spacetime diagrams and their use in relativity
NEXT STEPS
  • Study the Doppler effect in special relativity and its mathematical formulation
  • Explore Lorentz transformations in detail, focusing on their application to accelerating frames
  • Research spacetime diagrams and their role in visualizing relativistic events
  • Watch educational videos on the twin paradox and Andromeda paradox for visual understanding
USEFUL FOR

Students and enthusiasts of physics, particularly those interested in special relativity, time dilation, and the implications of acceleration on perception of time and simultaneity.

  • #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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