International Journal of Theoretical Physics

, Volume 22, Issue 12, pp 1067–1089 | Cite as

Physical constants as cosmological constraints

  • Saul -Paul Sirag


A solution to the primary “missing mass” problem is found in the context of accounting for the coincidence of large dimensionless numbers first noticed by Weyl, Eddington, and Dirac. This solution entails (1) a log2 relation between the electromagnetic and gravitational coupling constants; (2) setting the maximum radius of curvature at the gravitational radius, 2GM/c2; (3) a changing gravitational parameterG, which varies as an inverse function of the universal radius of curvature. These features motivate the development of a neo-Friedmann formalism, which employs a function,ε(χ). governing the change from Euclidian to non-Euclidian volumes. Observational consequences include (1) a universal density of 7.6×10−31g cm−3, (2) a Hubble parameter of 15 km s−1 Mpc−1, (3) an age of the universe of 32×109 yr, (4) a gravitational parameter diminishing at a current rate of 2.2×10−12 yr−1, and (5) a deceleration parameter of 1.93. Moreover, it is shown that for a Friedmann-type (λ=0) cosmology (whether open or closed) any deceleration parameter will be represented by a straight line in the (log-log) red shift: luminosity-distance space of the Hubble diagram. The major claim of this paper is that we have devised a model in which the large-scale structure of the universe is completely determined by the values of the fundamental physical constants:c, h, e, andme setting the scale, andG selecting the epoch.


Inverse Function Hubble Parameter Deceleration Parameter Physical Constant Dimensionless Number 
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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • Saul -Paul Sirag
    • 1
  1. 1.Washington Research CenterSan Francisco

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