Abstract
In a previous article entitled: “Evidences for varying speed of light with time” [1], a series of observational evidence was presented in favor of the hypothesis that the speed of light varies with time according to the relationship dc/dt = -Hc, where H is the Hubble constant which is considered a universal constant. In this paper we propose to elaborate on the observational evidence supporting the hypothesis, and to probe the consequences of this relationship on General Relativity. Also we will provide a theoretical justification of the previous relationship and we will show how from it we can deduce galactic velocity curves. We can deduce the important empirical Tully-Fisher relation linking these curves to the baryonic mass of the galaxy and we can justify the apparent accelerated expansion of the universe without intervening elusive entities such as dark matter and dark energy.
Highlights
In a previous article entitled: “Evidences for varying speed of light with time” [1], a series of observational evidence was presented in favor of the hypothesis that the speed of light varies with time according to the relationship dc/dt = −Hc, where H is the Hubble constant which is considered a universal constant
In this paper we propose to elaborate on the observational evidence supporting the hypothesis, and to probe the consequences of this relationship on General Relativity
The value of ac is not deduced from the velocity curves as it happens in the Modificated Newtonian Dynamic (MOND), but it depends on two fundamental parameters such as the Hubble constant and the speed of light
Summary
The hypothesis of variable speed of light with time is capable to provide both a qualitative and quantitative justification for various observational phenomena that have not, at the moment, obtained a satisfactory explanation, not even in the relativistic field. 1) In the past, many spacecrafts (Pioneer 10, Pioneer 11, Galileo, Ulysses) [2] have been sent into space. These spacecrafts have been equipped with sources of electromagnetic radiation with frequency fe.
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