Quartic Equation and Proportion of Physical Reality

Abstract

Considering a qurtic equation as polynomial of the 4th order with non-zero coefficients a,b,c,d & e can be considered as a sum of partial equations. In order to express coefficients of these equations with the help of functional dependence on a given parameter K, solution of individual partial equations can be found, using the numerical values for the sizes of regular 4-dimesinal polyhedron surfaces will then determine their volume ratios. These ratios will also be matching the mass ratios of fundamental particles of the physical realm as for example is the mass ratio of a proton and an electron or the mass ratio of Higgs boson and an electron including the Planck and the electron mass ratio. These mass proportionality in physical realm in terms of elementary particles then enables the solution of partial equations to determine black hole the final “gravity” after the collapse of two mass objects. By these proportions the most massive objects are determined whereas from the initial mass of two objects the mass of gravitationally collapsed object can also be established.

From those equations a new elementary particle representing the dark matter could be found with likelihood of finding other particles that could explain the essence of dark energy. On the bases of gravitational objects represented by a black hole, the property of those initial objects that exclude collapse into singularity could be determined.