Action principle for nonlinear parametric quantization of gravity

TL;DR

This paper derives a nonlinear quantum evolution of gravity from an action principle, establishing conditions similar to classical Dirac relations to ensure consistency.

Contribution

It introduces an action principle framework for nonlinear parametric quantization of gravity, linking quantum evolution to classical canonical relations.

Findings

Nonlinear quantum gravity evolution derived from an action principle.

Consistency conditions analogous to Dirac relations identified.

Framework bridges classical and quantum gravity formalisms.

Abstract

The derivation of the recently proposed nonlinear quantum evolution of gravity from an action principle is considered in this brief note. It is shown to be possible if a set of consistency conditions are satisfied that are analogous to the Dirac relations for the super-Hamiltonian and momenta in classical canonical gravity.