Nope, we don't. And what's more, it can't be. The length of the trip (if you mean the time duration, or the distance of the trip) is an observer-dependent quantity.
Yes. The length of the trip is an observer-dependent quantity. But the length and duration of the trip as measured from the stay at home twin's perspective is a fixed value.
And I am suggesting that if we use the length as measured from the frame of the at rest twin, that the difference in ages (measured in years) between the twin that leaves and the twin that stays home varies with the length of the trip (in time or distance) and the speed of the rocket ship measured in the stat at home twin's frame. The ratio of the measured time difference for the stay at home twin is a measure of the velocity only (in the SR only version of the problem).
I've never seen a calculation of the twin problem that suggested otherwise. For example I refer here to the Specific Example in the wikipedia article
Twin paradox - Wikipedia.
In the example, the time difference accumulates at a rate dependent on the velocity of the space craft (in the stay at home twin's frame) however the accumulate number of years is proportional to the time experienced by the stay at home twin during the traveling twins trip. Is that incorrect, or am I missing your point completely?
Edited by NoNukes, : No reason given.
Edited by NoNukes, : No reason given.
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