The Einstein Constant c in Light of Mach's Principle. Cosmological Applications

In a recent paper, O. Costa de Beauregard shows that Mach's conjecture can be expressed by the equation U=c ² (U denoting the cosmological potential). This result leads us to a geometrical interpretation of Einstein's constant c (the so-called velocity of light) which appears as intimately connected to the expansion of the universe. We also present some cosmological consequences of that interpretation for the horizon problem, for the problem of the homogeneity of the cosmic background radiation, and for the problem of the flatness of the universe.