EXTENDED MASS RELATION FOR SEVEN FUNDAMENTAL MASSES AND NEW EVIDENCE OF LARGE NUMBERS HYPOTHESIS

Curtis J. Forsythe,Dimitar T. Valev

doi:10.3844/pisp.2014.152.158

Abstract

A previously derived mass relation has been extended to seven equidistant fundamental masses covering an extremely large mass range from ~10-69 to ~1053 kg. Six of these masses are successfully identified as mass of the observable universe, Eddington mass limit of the most massive stars, mass of hypothetical quantum Gravity Atom whose gravitational potential is equal to electrostatic potential e2/S, Planck mass, Hubble mass and mass dimension constant relating masses of stable particles with coupling constants of fundamental interactions. The seventh mass, ~10-48 kg remains unidentified and could be considered as a prediction of the suggested mass relation for an unknown fundamental mass, potentially a yet unobserved light particle. First triad of these masses describes macro objects, the other three masses belong to particle physics masses and the Planck mass appears intermediate in relation to these two groups. Additionally, new evidences of dirac Large Numbers Hypothesis (LNH) have been found in the form of series of ratios relating cosmological parameters and quantum properties of space-time. A very large number on the order of 5×1060 connects mass, density, age and size of the observable universe with Planck mass, density, time and length, respectively.

Highlights

Discovery of theoretical or empirical mass relations for the many various particles is a great challenge for the recent high-energy physics and astrophysics and derivation of mass relations covering a very large range of particle masses is most desirable
It is of further interest to note that the extended mass series includes seven equidistant fundamental masses covering a mass interval of 122 orders of magnitude and that masses M(-2), M(-1) and M0 are particle physics masses, whereas the masses M2, M3 and M4 describe macro objects and the Planck mass M1 appears intermediate in relation to these two groups
The result is seven equidistant fundamental masses Mn, covering a mass interval of 122 orders of magnitude, have been obtained. Six of these masses are successfully identified, namely M1 ~2.18×10−8 kg the apparent Planck mass mP =1/2, that is very important in resent particle physics

Summary

INTRODUCTION

Discovery of theoretical or empirical mass relations for the many various particles is a great challenge for the recent high-energy physics and astrophysics and derivation of mass relations covering a very large range of particle masses is most desirable. Derived a series of ratios relating cosmological parameters (mass M, density ρ = ρc , age H−1 and size cH-1 of the observable universe) and Planck (mass mP, density ρP, time tP and length lP) respectively, resulting in a very large number NV, wherein mP is defined as the mass whose reduced Compton wavelength and Schwarzschild radius rs are equal, lP is identical with rs and ρP is defined as the density of a sphere having mass mP and radius lP:. These ratios exactly connect cosmological and quantum parameters of space-time and appear to be a precise formulation and proof of LHN. We have found new evidences in support of LNH connecting cosmological parameters and microscopic properties of matter

Review of Mass Relation Concerning Four Fundamental Masses

Review of Three Fundamental Masses Obtained by Dimensional Analysis

NEW EVIDENCE OF DIRAC LARGE NUMBERS HYPOTHESIS

CONCLUSION