A Covariant Canonical Quantization of General Relativity

Abstract EN

A Hamiltonian formulation of General Relativity within the context of the Nexus Paradigm of quantum gravity is presented.

We show that the Ricci flow in a compact matter free manifold serves as the Hamiltonian density of the vacuum as well as a time evolution operator for the vacuum energy density.

The metric tensor of GR is expressed in terms of the Bloch energy eigenstate functions of the quantum vacuum allowing an interpretation of GR in terms of the fundamental concepts of quantum mechanics.