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

Abstract

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)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, b is a constant. In fact, we calculate the perturbations in the orbits of the planets in the solar system. We can deduce that b 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. V C 2013 Physics Essays Publication. [http://dx.Résumé: Dans ce article, nous proposons une théorie d'une vitesse de lumière variable (VSL) dans laquelle tant la vitesse de la lumière, c, que les masses d'inertie et gravitationnelles, m, dépend de l'âge de l'Univers. D'un point de vue purement phénoménologique, tant c comme m on suppose qu'ils sont des fonctions linéaires approximatives de la forme c 2b H 0 t), où H 0 est le paramètre de Hubble dans le présent, c 0 et m 0 sont la vitesse de la lumière et la masse d'une particule déterminée dans un instant de temps particulier, en prenant pour référence l'époque cosmologique actuelle. En outre, b est une constante. En fait, nous calculons les perturbations dans les orbites des planètes dans le Système Solaire. Nous pouvons déduire que b a de l'ordre de grandeur de la constante de structure fine. Ce modèle explique tous les deux, l'augmentation séculaire irrégulière de l'unité astronomique et l'augmentation irrégulière récemment annoncée de l'excentricité orbitale de la Lune.

On the secular recession of the Earth-Moon system as an azimuthal gravitational phenomenon

“…Though other researchers (cf. Iorio 2005Iorio , 2014aMiura et al 2009;Riofrio 2012;Acedo 2013aAcedo , 2013b) have used the same mechanism leading to the secular recession of the Earth-Moon system to explain the recession of the Moon from the Earth, the present ideas suggest that the ASTGmodel's mechanism leading to the secular recession of the Earth-Moon system may not be the same mechanism causing the observed Lunar drift. The cause of the Lunar drift may very well be a result of the transfer of orbital angular momentum of the Earth-Moon system to the spin angular momentum of the Earth-Moon system.…”

“…Further on attempts by other researchers, we have the work by Riofrio (2012); Acedo (2013aAcedo ( , 2013b. In-order to explain the planetary recession, Riofrio (2012); Acedo (2013a, 2013b) use exotic ideas; ideas to do with a to a Variable Speed of Light (VSL) and in the case of Acedo (2013aAcedo ( , 2013b, he in in-cooperates the idea that the inertial and gravitational mass depend on the age of the Universe.…”

“…Iorio 2011b). Researchers (Williams et al 2004;Iorio 2011aIorio , 2011bIorio , 2014bXin 2011;Riofrio 2012;Acedo 2013aAcedo , 2013bZiefle 2013;Nyambuya 2014e) have proposed various mechanisms to explain this seemingly observation.…”

“…In-order to explain the planetary recession, Riofrio (2012); Acedo (2013a, 2013b) use exotic ideas; ideas to do with a to a Variable Speed of Light (VSL) and in the case of Acedo (2013aAcedo ( , 2013b, he in in-cooperates the idea that the inertial and gravitational mass depend on the age of the Universe. Acedo (2013a, 2013b)'s model explains both the secular increase of the astronomical unit and the increase of the Moon's orbital eccentricity.…”

The Lingering Anomalous Secular Increase of the Eccentricity of the Orbit of the Moon: Further Attempts of Explanations of Cosmological Origin

“…Some more or less sound attempts to find an explanation of eq. (1) in terms of either standard and non-standard gravitational physics have been performed so far [4][5][6][7][8].…”