12 Sep '22 21:03>1 edit
The Twin Paradox:
https://en.wikipedia.org/wiki/Twin_paradox
The paradox is not that one twin staying home ages more quickly than the other who goes off somewhere and returns. It's that each twin sees the other as moving away and then coming back, so why does only one of them age more quickly?
As the article mentions, however, the experience of the twins are not identical. One of them experiences acceleration to get up to speed, get somewhere, stop, and then return. However, the degree of time dilation depends only on how close the traveling twin gets to c and/or how long the traveling twin travels. These parameters are independent of acceleration and gravity issues. More fundamentally, however, the traveling twin occupies two inertial frames during his trek: an outbound frame and an inbound frame. The resting twin does not do this.
That's all there is to that. But there is also this from the article concerning the "leaving" and "returning" phases of the traveling twin's trip:
https://en.wikipedia.org/wiki/Twin_paradox
The paradox is not that one twin staying home ages more quickly than the other who goes off somewhere and returns. It's that each twin sees the other as moving away and then coming back, so why does only one of them age more quickly?
As the article mentions, however, the experience of the twins are not identical. One of them experiences acceleration to get up to speed, get somewhere, stop, and then return. However, the degree of time dilation depends only on how close the traveling twin gets to c and/or how long the traveling twin travels. These parameters are independent of acceleration and gravity issues. More fundamentally, however, the traveling twin occupies two inertial frames during his trek: an outbound frame and an inbound frame. The resting twin does not do this.
That's all there is to that. But there is also this from the article concerning the "leaving" and "returning" phases of the traveling twin's trip:
Explanations put forth by Albert Einstein and Max Born invoked gravitational time dilation to explain the aging as a direct effect of acceleration.[8] However, it has been proven that neither general relativity,[9][10][11][12][13] nor even acceleration, are necessary to explain the effect, as the effect still applies to a theoretical observer that can invert the direction of motion instantly, maintaining constant speed all through the two phases of the trip. Such observer can be thought of as a pair of observers, one travelling away from the starting point and another travelling toward it, passing by each other where the turnaround point would be. At this moment, the clock reading in the first observer is transferred to the second one, both maintaining constant speed, with both trip times being added at the end of their journey.