Physics, Astronomy & Cosmology / Re: What is the exact cause of the time dilation of the twin?« on: 23/05/2023 16:36:37 »
The observation of the accelerated twin is equally valid. It is just that his observations are effected by his acceleration while he is actively accelerating. This includes clocks in the direction of the acceleration running fast compared to his own by a factor determined by the magnitude of the acceleration and the distance to the clock.Time dilation is not a function of acceleration and there's no mathematical formula expressing it in terms of acceleration.If acceleration has no effect on time dilation, then the observation of the accelerated twin should be equally valid as non-accelerated one.
Alternatively, there must be something else which makes their situations different, such as their relative motion against an external object, like CMB.
An analogy would something along these lines:
Two men are back to back and then separate. According to each of them, the other is a given distance "behind" him. Man 1 them turns 180 degrees. By his perspective, Man 2 goes from being behind him to being in front of him. As far as Man 2 is concerned Man 1 is still behind him, and this did not change when Man 1 turned around. The observations of each is equally valid.
With Relativity, time is also involved, And "front" and "back" are replaced with temporal measurements. Acceleration involves a reorientation in space-time for the accelerated observer.
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