I Derivation of SR's time-dilatation in 1d?

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    1d Derivation
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The discussion focuses on deriving time dilation and related formulas in one dimension, emphasizing the observer-independent nature of the speed of light. The original poster seeks alternatives to the common light-clock derivation, suggesting a longitudinal light clock approach instead. Participants mention various methods, including Bondi's derivation, which incorporates operational definitions and the Doppler effect. They also discuss the importance of maintaining the invariance of the spacetime interval and the relationship between the Lorentz transformation and time dilation. The conversation highlights the complexity of deriving these concepts while adhering to the principles of special relativity.
  • #61
Pony said:
Who's clock shows, where, what do you mean 'shows'?
See posting #40. That definition of time separates for example SR from Lorentz ether theory.

Pony said:
What does the first equation mean, and how do I conclude that?
I copied the first equation from your posting #58.
 

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