Quantum geometrodynamics with intrinsic time development

TL;DR

This paper introduces a quantum geometrodynamics framework with intrinsic time, addressing the problem of time in quantum gravity, and highlights the dominance of Cotton-York potential in early universe conditions.

Contribution

It proposes a paradigm shift to spatial diffeomorphism invariance, resulting in a non-vanishing Hamiltonian and gauge-invariant temporal ordering, extending Einstein's general relativity.

Findings

Non-vanishing Hamiltonian in intrinsic time framework

Resolution of the problem of time in quantum gravity

Cotton-York potential dominates at early universe times

Abstract

Quantum geometrodynamics with intrinsic time development is presented. Paradigm shift from full space-time covariance to spatial diffeomorphism invariance yields a non-vanishing Hamiltonian, a resolution of the `problem of time', and gauge-invariant temporal ordering in an ever expanding universe. Einstein's general relativity is a particular realization of a wider class of theories; and the framework prompts natural extensions and improvements, with the consequent dominance of Cotton-York potential at early times when the universe was small.