Space(-Time) Emergence as Symmetry Breaking Effect

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).