Three Fundamental Masses Derived by Dimensional Analysis
- 1 Space Research and Technology Institute, Bulgaria
Copyright: © 2021 Dimitar Valev. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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 (ħ) and the Hubble constant (H). The enormous mass m1 ~1053 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 ~107 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.
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- Planck Mass
- Dimensional Analysis
- Mass of The Universe
- Minimum Quantum of Energy