Dirac's large numbers hypothesis in Einstein's theory of gravitation

Document Type

Article

Publication Date

9-1-1985

Abstract

A method is given for incorporating Dirac's Large Numbers hypothesis into Einstein's standard theory of general relativity. The method involves the assumption that at each point in space there exist two types of clocks, a cosmological clock measuring ephemeris time τ and an atomic clock measuring atomic time tA. Newton's law of universal gravitation is formulated relativistically in terms of these two times and the proper distance determined by measuring rods between simultaneous events, and a method is given for operationally identifying G. The Large Numbers hypothesis requirement that GA∝1/tA is then used to establish the relationship between the two times. Alternative derivations of the time relationship not involving a time-varying gravitational "constant" are obtained by intercomparison of various large numbers. It is shown that the resulting relationship between tA and τ gives agreement with the observed natural microwave radiations. Also, the Large Numbers hypothesis leads to a time formed from the fundamental constants of Nature that is comparable to the age of the Universe. © 1985 Plenum Publishing Corporation.

Identifier

33744697688 (Scopus)

Publication Title

International Journal of Theoretical Physics

External Full Text Location

https://doi.org/10.1007/BF00671333

e-ISSN

15729575

ISSN

00207748

First Page

877

Last Page

900

Issue

9

Volume

24

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