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A thought (possibly heretical) that I find difficult to shake of is this: What if we were able to set up the perfect twin-paradox situation and, on completion, found that the various clocks had all behaved just as relativity says they should, but the twins are still the same age?
Others believe that the the current age of a distant person, according to the traveler, is some definite value that is "non-negotiable" and non-discretionary. Among this group, some believe that that definite value can only be properly determined by using the general theory of relativity, via the equivalence principle. Conversely, others believe that, in the (assumed) absence of any significant masses within the spatial region of interest, that the special theory of relativity is all that is needed to provide that definite current age of the distant person. But, even among this latter group, there is disagreement as to WHAT that definite value of the current age IS.
the case where each twin is perpetually inertial (i.e., neither of them ever accelerate)
Quote[...] the case where each twin is perpetually inertial (i.e., neither of them ever accelerate)[...] If they are natural born twins and they never accelerate, then they are eternally colocated, and they each know the other's time accurately, with no debate
[...] the case where each twin is perpetually inertial (i.e., neither of them ever accelerate)