Time measurement with accelerating light-clocks

Abstract The clock hypothesis in relativity states that the rate of time as measured by any is determined its Minkowskian proper-time, regardless nature motion; particular independent acceleration, depending only on instantaneous velocity. However, a unique proper-time may be assigned to an accelerating clock, physical system, limit being point-like. But clocks, their very nature, must spatially extended systems, allow internal periodical mechanism. Therefore question, How does structure affect hypothesis? simplest model examine so-called ‘light clock’, consisting two mirrors with light signal reflected between them. So far, such examinations were carried out mainly limits point-like clocks and/or constant acceleration. Here theoretically examined for linearly accelerated light-clocks, parallel and vertical relative direction motion, arbitrarily varying accelerations. Using rapidity evolution parameter, Lorentz covariant analysis neatly performed. Taking into account spatial extension differences externally proper-times time-scale mechanism are computed. Although these practically minute – order aL / c 2 characteristic acceleration dimension L they cannot ignored. They indicate inherent inconsistency time-line which consists moments-of-time intrinsically defined age time-line, durations, intervals-of-time.