Nonlinear Supersymmetric General Relativity and Unity of Nature

TL;DR

This paper introduces a nonlinear supersymmetric general relativity framework that unifies spacetime and matter, proposing a spontaneous symmetry breaking mechanism that could explain the universe's big bang and connect to particle physics and cosmology.

Contribution

It develops a new fundamental action for NLSUSY GR based on geometric arguments, proposing a spontaneous breaking to Einstein-Hilbert action with matter, offering a unified spacetime-matter description.

Findings

The new NLSUSY GR action is unstable and spontaneously breaks to Einstein-Hilbert action with matter.

This spontaneous breaking may correspond to the big bang and phase transition in the universe.

Implications are discussed for low energy particle physics and cosmology.

Abstract

Nonlinear supersymmetric(NLSUSY) general relativity(GR) is considered and a new fundamental action of the vacuum Einstein-Hilbert(EH)-type is obtained by the Einstein gravity analogue geomtrical arguments on new spacetime inspired by NLSUSY. The new action of NLSUSY GR is unstable and breaks spontaneously to EH action with matter(or New spacetime is unstable and induces spontaneously the phase transition to Riemann spacetime with matter), which may be the real shape of the big bang of the universe and give naturally the unified description of spacetime and matter. Some implications for the low energy particle physics and the cosmology are discussed.