Number Theoretic Structural Approach to Dimensionless Physics Forms

Physics parameters in a near quadratic structural form demonstrates invariance in respect to thesymmetry of the Monster group across a slight vacuum energy change. Five parameters needed inthe structure are the Planck mass, the electron mass the charged pion mass, the gravitationalcoupling constant and the electromagnetic fine structure constant. The gravitational couplingconstant along with the electromagnetic fine structure constant are reduced to a near unity value,which responds to changing gravitational and vacuum energy conditions thus reflecting theamount of space-time curvature. The entire parameter set changes are invariant due to an overallsymmetry as the special case of a baryonic star system or vacuum field changing from a nearMinkowski like space-time to a more extremal space-time curvature of a neutron star or black hole.This involves the quark flavor change in a baryon of going from uud to udd, which is the isospinsymmetry action of the SU(2) group on the strong force dynamics of the proton-neutron nuclearfields. In addition, a number theoretic equivalent of the structural form shows nearly the samedimensionless ratio values on a one to one basis to the physics form. The number theoretic formsare based on computer constructions of closed forms utilizing constants involving the complexplane and suppressions of powers of pi and e. The number theoretic formula values fordimensionless mass ratios nearly match the Codata 2014 set. That the structural features of thephysics forms and number theoretic forms match suggests that the main structural form has anontrivial solution(s) consisting of the Standard Model physics forms and possibly its dual numbertheoretic forms. The near quadratic form using a near unity value to produce an integer is not asimple encoding machine.