Clock Hypothesis of Relativity Theory, Maximal Acceleration, and Mössbauer Spectroscopy

preprint2014arXivOpen access

Abstract

Results obtained several years ago using the high-resolution 93.3 keV Mössbauer resonance in 67^{67}ZnO and β′β'-brass have been reanalyzed with the notion that the clock hypothesis of Special Relativity Theory is not sufficient, but that a maximal acceleration ama_m exists and that an acceleration aa contributes to the temperature dependence of the center shift by a term ±(1/2)(a/am)2\pm(1/2)(a/a_m)^2. The significance of the sign of this term is discussed in detail. For both substances a lower limit of am>1.5⋅1021m/s2a_m>1.5\cdot10^{21}m/s^2 is inferred which is more than two orders of magnitude larger than the value am=1⋅1019m/s2a_m=1\cdot10^{19}m/s^2 suggested by 57^{57}Fe rotor experiments.

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