Minkowski spacetime does not apply to a homogeneously accelerating medium
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文摘
Home and comoving inertial frame parameters of an individual point of an idealized medium of launch length L   uniformly co-accelerating between identical fixed-thrust rockets, are well known. This is not the case with the varying inter-rocket radar periods and related implications regarding a changing ‘noninertial own-length’ ΛΛ which differs from a front rocket’s retrospective separation  LL from the simultaneously relatively moving rear rocket. On the other hand, the nonhomogeneous   acceleration case involving every comoving frame’s unchanging perception of a contrived ‘rigor mortis’ medium (so-called ‘rigid motion’ traditionally associated with ‘Rindler coordinates’) whereby Λ=L=LΛ=L=L, constitutes the sole extended accelerating medium scenario where the entrenched Minkowski metric is actually applicable. Paraphrasing Wolfgang Pauli, not only is Minkowski spacetime not correct [in the general sense], it is not even wrong [in the restricted sense].
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