Clock hypothesis of relativity theory, maximal acceleration, and Mössbauer spectroscopy

Abstract

Results obtained several years ago using the high-resolution 93.3 keV Mössbauer resonance in 67 ZnO and β ′ -brass have been reanalyzed with the notion that the clock hypothesis of Special Relativity Theory is not sufficient, but that a maximal acceleration am exists and that an acceleration a contributes to the temperature dependence of the center shift by a term ±(1/2)(a/am) 2 . The significance of the sign of this term is discussed in detail. For both substances a lower limit of am > 1.5 · 10 21 m/s 2 is inferred which is more than two orders of magnitude larger than the value am = 1 · 10 19 m/s 2 suggested by 57 Fe rotor experiments.

Concerning Mössbauer experiments in a rotating system and their physical interpretation

“…A drastic disagreement between two estimations ( 9) and (10) with respect to the value of a m nevertheless does not, in the opinion by Friedman et al, invalidate their approach, but rather indicates that the maximal acceleration, if it exists, cannot be considered as a universal quantity.…”

“…Having missed the essential information presented above, the authors of [22] further claim that the experiment by Kündig "… has been recently reanalyzed and replied [8][9][10]…" (which now are respectively refs. [3], [29] and [1]).…”

“…During the past decade, the problem of the correct physical interpretation of the results of Mössbauer experiments in a rotating system gained a significant attention (see, e.g. [1][2][3][4][5][6][7][8][9][10][11][12][13][14]). The increased interest shown to these experiments emerged after our discovery [1] of an extra energy shift (next to the usual energy shift due to the relativistic dilation of time) between a resonant source at the origin of a rotating system and a resonant absorber on the rotor rim, that was originally revealed by our team via the re-analysis of the historical experiment by Kündig [15] based on the stimulating prediction by the second author [16][17], and then confirmed through two separate sets of experiments we subsequently carried out [18][19][20][21].…”

Acerca del enlentecimiento de los relojes acelerados II: tiempo propio relativista y unus mundus físico

“…Por lo tanto, no se introducen limitaciones en las aceleraciones propias permisibles. Sin embargo, algunos trabajos recientes, ya sea de reinterpretación de experimentos conocidos (10,11) o bien desarrollos teóricos (12,13), sugieren la posible existencia de aceleraciones máximas. Si esto es correcto, r en el marco de la relatividad especial, la hipótesis del reloj sería solo una aproximación a una relación más general.…”

Analyses of Mössbauer experiments in a rotating system: Proper and improper approaches

“…However, as it was shown in ref. [22] via the analysis of the temperature dependence of the shifts of resonant lines in crystals, the lowest limit of maximal acceleration, if it ever existed, should be near 10 21 m/s. With this value of a m , the corresponding EES in the Mössbauer rotor experiments becomes miniscule and practically immeasurable.…”