Explaining atomic clock behavior in a gravitational field with only 1905 Relativity

Rafael A. Valls Hidalgo-Gato; Natalio Svarch Scharager

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arXiv · 1009.5363

Explaining atomic clock behavior in a gravitational field with only 1905 Relativity

Rafael A. Valls Hidalgo-Gato·Natalio Svarch Scharager

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Abstract

Supported only in the two 1905 Einstein's papers on Relativity and a very rigid respect for the historical context, an analysis is done of the derivation of the universal mass-energy relationship. It is found, contrary to the today accepted Physics knowledge, that a body's Rest Mass measures its Potential Energy in the 1905 context. After emphasizing the difference between 1905 Relativity (1905R) and Special Relativity (SR), the developing of a 1905R relativistic gravity is started for a small mass m material point moving in the central gravitational field of a great mass M one. A formula for the rest mass m_0 as a function of its distance r from M is obtained. Finally, those results are applied to an atomic clock in a gravitational field, reaching a factor to obtain the clock time rate change very close to the GR one. The factors from 1905R and GR are compared, emphasizing the absent of a singularity in 1905R. In the conclusions, a new road for the development of a 1905R relativistic mechanics is declared, related with the discovery that Rest Mass measures Potential Energy, done by 1905 Einstein even if not realizing it.

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Rafael A. Valls Hidalgo-Gato, Natalio Svarch Scharager. 2010-09-27. Explaining atomic clock behavior in a gravitational field with only 1905 Relativity. https://arxiv.org/abs/1009.5363

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