Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Desynchronization of Clocks in Rigid Acceleration and Gravitational Redshift

Version 1 : Received: 13 February 2022 / Approved: 17 February 2022 / Online: 17 February 2022 (13:39:48 CET)
Version 2 : Received: 23 March 2022 / Approved: 24 March 2022 / Online: 24 March 2022 (07:26:43 CET)
Version 3 : Received: 25 May 2023 / Approved: 26 May 2023 / Online: 26 May 2023 (07:57:28 CEST)

How to cite: Şahin, İ. Desynchronization of Clocks in Rigid Acceleration and Gravitational Redshift. Preprints 2022, 2022020216. https://doi.org/10.20944/preprints202202.0216.v2 Şahin, İ. Desynchronization of Clocks in Rigid Acceleration and Gravitational Redshift. Preprints 2022, 2022020216. https://doi.org/10.20944/preprints202202.0216.v2

Abstract

In this paper, we examine the prediction of the theory of relativity for the desynchronization of accelerating clocks separated by a proper distance l. We adopt the approach of Larmor-Lorentz-Poincaré-Bell to relativity and derive clock desynchronization as a result of an acceleration procedure based on two basic assumptions. Such an approach exhausts the freedom of Einstein's approach that allows for different clock synchronizations. We show that contrary to expectations, as a result of acceleration, the rear clock actually shifted backwards with respect to the front clock according to an inertial observer. However, due to Einstein’s equivalence principle the accelerating observer feels a gravitational field and observes that the rear clock undergoes a gravitational redshift relative to the front clock. This gravitational time shift is larger than the time shift for the acceleration and the difference is exactly equal to the special relativistic time shift. Eventually, we arrive at the conclusion that Einstein’s equivalence principle and gravitational redshift is necessary to explain special relativistic clock desynchronization.

Keywords

Relativity of simultaneity; Accelerated observers; Gravitational redshift

Subject

Physical Sciences, Theoretical Physics

Comments (1)

Comment 1
Received: 24 March 2022
Commenter: İNANÇ ŞAHİN
Commenter's Conflict of Interests: Author
Comment: Conclusions section and new references added.
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