I A question about Alice and Bob in SR

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Bob, at rest in Minkowski space, synchronizes watches with Alice, who is in constant acceleration. Their meeting times are calculated using their respective paths, with Alice's time given by the equation for her proper time, and Bob's time determined from the coordinate time in his frame. The elapsed time for Alice between meetings is derived from the relationship between their coordinates, while Bob's elapsed time is simply the difference in his time coordinates at those events. The number of pulses Alice receives corresponds to the total time elapsed divided by the time interval between pulses sent by Bob. Understanding the relationship between their proper times and the coordinate times is crucial for solving these questions accurately.
  • #31
Ibix said:
It is. But whose time interval? Alice and Bob don't agree on the duration.

When answering the question, think whose clock is responsible for measuring ##\Delta t##.
Bob's, because ##\Delta t## is according to his clock.

So if I am not mistaken the number of pulses arriving to Alice are: ##(2/a\Delta t)\sqrt{L^2-1/a^2}##.
 
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  • #32
MathematicalPhysicist said:
Bob's, because ##\Delta t## is according to his clock.

So if I am not mistaken the number of pulses arriving to Alice are: ##(2/a\Delta t)\sqrt{L^2-1/a^2}##.
Exactly - the same number as emitted.
 
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