Canonical Quantization and Expanding Metrics

TL;DR

This paper develops a canonical formalism for expanding metrics, describing non-unitary evolution as a trajectory through inequivalent representations, and discusses thermal properties of an inflating universe.

Contribution

It introduces a canonical quantization framework for expanding spacetime metrics and analyzes their thermal properties, addressing non-unitary evolution in such scenarios.

Findings

Non-unitary evolution is modeled as a trajectory over inequivalent representations.

Thermal properties of the inflating universe are characterized.

A formalism for quantizing expanding metrics is established.

Abstract

The canonical formalism for expanding metrics scenarios is presented. Non-unitary time evolution implied by expanding geometry is described as a trajectory over unitarily inequivalent representations at different times of the canonical commutation relations. Thermal properties of inflating Universe are also discussed.