Conformal Unification of General Relativity and Standard Model

TL;DR

This paper proposes a conformal symmetry-based approach to unify general relativity and the Standard Model, deriving cosmological evolution equations that align with observational data.

Contribution

It introduces a Hamiltonian reduction method that links Higgs field dynamics with cosmological evolution within a conformal symmetry framework.

Findings

Derives Friedmann-like equations from Higgs and gravity dynamics.

Shows Higgs field value matches cosmological observations.

Connects particle mass evolution with universe expansion.

Abstract

The unification of general relativity and standard model for strong and electro-weak interactions is considered on the base of the conformal symmetry principle. The Penrose-Chernikov-Tagirov Lagrangian is used to describe the Higgs scalar field modulus and gravitation. We show that the procedure of the Hamiltonian reduction converts the homogeneous part of the Higgs field into the dynamical parameter of evolution of the equivalent reduced system. The equation of dynamics of the "proper time" of an observer with respect to the evolution parameter reproduces the Friedmann-like equation, which reflects the cosmological evolution of elementary particle masses. The value of the Higgs field is determined, at the present time, by the values of mean density of matter and the Hubble parameter in satisfactory agreement with the data of cosmological observations.