Dirac's Large Number Hypothesis and Quantized Friedman Cosmologies

Abstract

This paper contains applications of the quantum theory for gravity developed in the paper " A Sketch for a Quantum Theory of Gravity". Firstly, it is shown that the theory gives a direct derivation of the implications of Dirac's large number hypothesis. The three dimensionless large numbers are obtained as three closed formulae with definite coefficients constructed from known physical constants. Secondly, the theory is used to derive two quantum Friedman cosmologies. The first of these Cosmologies is a very simple first approximation involving a key angular parameter being zero and the second is a more accurate one involving the same key parameter not being zero. The cosmological constant plays a basic and fundamental part in the formalism with very accurate agreement with measurement pertaining.