Variation of Physical constants, Redshift and the Arrow of time

Abstract

Theories of fundamental physics as well as cosmology must ultimately not only account for the structure and evolution of the universe and the physics of fundamental interactions, but also lead to an understanding of why this particular universe follows the physics that it does. Such theories must ultimately lead to an understanding of the values of the fundamental constants themselves. However, all such efforts have failed, leaving fundamental constants outside of any physical theories. In this paper we take a different approach than the usual evolutionary picture where the physics itself is assumed invariant. We study numerical relations among fundamental constants starting from relationships first proposed by Weinberg (1972). We have shown (Kafatos et al.2000) that they turn out to be equivalent to the relations found by Dirac (1937). Then a new scaling hypothesis relating the speed of light $c$ and the scale of the universe $R$ is explored.