Classical space from quantum condensates

TL;DR

This paper reviews the boson transformation method for spontaneous symmetry breaking in quantum field theory and applies it to show how classical space and geometric structures can emerge from quantum black hole evaporation.

Contribution

It introduces a novel application of the boson transformation method to the emergence of classical space and geometry from quantum black hole processes.

Findings

Classical torsion and curvature tensors can emerge from quantum condensates.

Inhomogeneous Nambu-Goldstone boson condensation leads to classical space structures.

The method links quantum symmetry breaking to classical geometric phenomena.

Abstract

We review the boson transformation method to deal with spontaneous symmetry breaking in quantum field theory, focussing on how it describes the emergence of extended and classical objects in such quantum context. We then apply the method to the emergence of space itself, as an extended and classical object resulting from the evaporation of a quantum black hole. In particular, we show how classical torsion and curvature tensors can emerge as effects of an inhomogeneous Nambu-Goldstone boson condensation in vacuum, in E(3) invariant spinor models with symmetry breaking.