5-D thermal field theory, Einstein field equations and spontaneous symmetry breaking

TL;DR

This paper extends thermal field theory to five-dimensional space-time-temperature, linking temperature variations to spacetime geometry and Einstein equations, revealing how thermal asymmetries can induce spontaneous symmetry breaking and the Higgs mechanism.

Contribution

It introduces a 5-D framework for thermal field theory, connecting temperature variations with spacetime geometry and gravitational effects, and explores their role in symmetry breaking.

Findings

Thermal variations can be represented as metric variations in 5-D space-time-temperature.

The Einstein equations in 5-D are derived for thermal systems in gravitational fields.

Spontaneous symmetry breaking can result from temperature asymmetries in strong gravitational fields.

Abstract

It has been shown previously, that the spatial thermal variation of a thermal medium can be recast as a variation in the Euclidean metric. It is now extended to temporal variations in temperature, for a non-relativistic thermal bath, which remains in local thermal equilibrium. This is achieved by examining the thermal field theory in a five-dimensional space-time-temperature. The bulk thermodynamic quantity, namely the energy density, is calculated for a neutral scalar field with a time-dependent Hamiltonian. Furthermore, the concept of recasting thermal variations as a variation in the metric is extended to thermal systems in a gravitational field. The Einstein field equations, in the 5-D space-time-temperature, is determined. It is shown that the resulting Ricci scalar can lead to spontaneous symmetry breaking, leading to the Higgs mechanism. In essence, the asymmetry in the distribution of temperature in space-time can translate to spontaneous symmetry breaking of particle fields, in a very strong gravitational field.