Authors: Michael Leon Fontenot
For rockets whose accelerometers show identical, constant readings, their separation is constant. The proof of that fact makes use of the limit of a sequence of accelerations "A", lasting for a time "delta_t", such that the total change in rapidity "A*delta_t", and therefore the total change in the velocity, don’t vary for each iteration of the sequence of accelerations. In the limit, as "A" goes to infinity, and "delta_t" goes to zero, the velocity of the rockets changes instantaneously, and their separation doesn’t change. The result is analogous to the CoMoving Inertial Frame (CMIF) simultaneity method of Special Relativity, which says that, according to the traveling twin (him), the home twin (she) instantaneously gets older during his instantaneous turnaround. Likewise, the ages of the people on the leading rocket instantaneously get older during their instantaneous velocity change.
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[v1] 2023-08-09 18:04:15
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