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A phenomenological variable speed of light theory and the secular increase of the astronomical unit

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In this paper, we propose a variable speed of light (VSL) theory in which both the speed of light, c, and the inertial and gravitational masses, m, depend on the age of the universe. From a purely phenomenological standpoint, both c and m are supposed to be approximate linear functions of the form c(t) = c 0(1 − β H 0 t), m(t) = m 0(1 + 2β H 0 t), where H 0 is the Hubble parameter at the present time, c 0 and m 0 are, respectively, the initial values of the speed of light and the mass of a given particle at that particular instant of time, taken as reference to the present cosmological epoch. Furthermore, β is a constant. In fact, we calculate the perturbations in the orbits of the planets in the solar system. We can deduce that β is of the order of magnitude of the fine-structure constant. This model explains both the anomalous secular increase of the astronomical unit and the recently reported anomalous increase of the Moon's orbital eccentricity.
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Keywords: Anomalous Secular Increase of the Moon's Orbital Eccentricity; Secular Increase of the Astronomical Unit; Time Variation of Fundamental Constants; Variable Speed of Light (VSL) Theories

Document Type: Research Article

Publication date: December 30, 2013

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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