Hamiltonian Unification of General Relativity and Standard Model

TL;DR

This paper develops a Hamiltonian framework unifying General Relativity and the Standard Model, proposing a dynamic Higgs potential that predicts Higgs mass and addresses cosmological issues, with implications for early universe physics.

Contribution

It introduces a novel Higgs potential with a dynamic parameter, unifies gravitational and Standard Model physics in a Hamiltonian approach, and offers new insights into early universe conditions and particle origins.

Findings

Predicts Higgs mass from effective potential extremum

Removes vacuum cosmological density problem

Suggests primordial Higgs decay as origin of particles

Abstract

The Hamiltonian approach to the General Relativity and the Standard Model is studied in the context of its consistency with the Newton law, the Higgs effect, the Hubble cosmological evolution and the Cosmic Microwave Background radiation physics. The version of the Higgs potential is proposed, where its constant parameter is replaced by the dynamic zeroth Fourier harmonic of the very Higgs field. In this model, the extremum of the Coleman--Weinberg effective potential obtained from the unit vacuum--vacuum transition amplitude immediately predicts mass of Higgs field and removes tremendous vacuum cosmological density. We show that the relativity principles unambiguously treat the Planck epoch, in the General Relativity, as the present-day one. It was shown that there are initial data of the Electro-Weak epoch compatible with supposition that all particles in the Universe are final products of decays of primordial Higgs particles and W-, Z-vector bosons created from vacuum at the instant treated as the "Big-Bang".