Relativity and Cosmology


Three Fundamental Masses Derived by Dimensional Analysis

Authors: Dimitar Valev

Three new mass dimension quantities have been derived by dimensional analysis, in addition to the famous Planck mass mp ~ 10^(-8) kg. These masses have been derived by means of fundamental constants – the speed of light (c), the gravitational constant (G), the Plank constant (h_bar) and the Hubble constant (H). The enormous mass m1 ~ 10^53 kg practically coincides with the Hoyle-Carvalho formula for the mass of the observable universe. The extremely small mass m2 ~ 10^(-33) eV has been identified with the minimum quantum of energy, which seems close to the graviton mass. It is noteworthy that the Planck mass appears geometric mean of the masses m1 and m2. The mass m3 ~ 10^7 GeV could not be unambiguously identified at present time. Besides, the order of magnitude of the total density of the universe has been estimated by this approach.

Comments: 6 pages, minor changes, paper is published in Am. J. Space Sci., 2013, Vol. 1, Issue 2, pp. 145-149

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Submission history

[v1] 23 Mar 2011
[v2] 3 Apr 2011
[v3] 2014-04-05 04:28:50

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