Space(-Time) Emergence as Symmetry Breaking Effect

TL;DR

This paper proposes that space-time emerges from a symmetry-breaking condensation of microscopic quanta, linking quantum and classical descriptions through a logical extension process that transforms constants into variables.

Contribution

It introduces a novel emergence mechanism of space-time based on symmetry breaking and condensation, connecting quantum and classical frameworks via a logical extension process.

Findings

Space-time arises from symmetry-breaking condensation of microscopic quanta.

The emergence process involves transforming constants into variables through a logical extension.

The approach links quantum-classical correspondence with the Gel'fand isomorphism.

Abstract

The microscopic origin of space(-time) geometry is explained on the basis of an emergence process associated with the condensation of infinite number of microscopic quanta responsible for symmetry breakdown, which implements the basic essence of "Quantum-Classical Correpondense" and of the forcing method in physical and mathematical contexts, respectively. From this viewpoint, the space(-time) dependence of physical quantities arises from the "logical extension" OjiOza to change "constant objects" into "variable objects" by tagging the order parameters associated with the condensation onto "constant objects"; the logical direction here from a value y to a domain variable x (to materialize the basic mechanism behind the Gel'fand isomorphism) is just opposite to that common in the usual definition of a function f:x->f(x) from its domain variable x to a value y=f(x).