Intrinsic Time Quantum Geometrodynamics

TL;DR

This paper develops a quantum geometrodynamics framework with intrinsic time and momentric variables, revealing an SU(3) structure, early universe dominance of Cotton-York potential, and a natural resolution to Penrose's hypothesis, unifying gravity and quantum mechanics.

Contribution

It introduces a novel intrinsic time quantum geometrodynamics model with SU(3) structure and new fundamental commutation relations, bridging gravity and quantum mechanics.

Findings

Cotton-York potential dominates at early times

Ground state resolves Penrose's Weyl Curvature Hypothesis

Emergence of Einstein's Ricci scalar potential as zero-point energy

Abstract

Quantum Geometrodynamics with intrinsic time development and momentric variables is presented. An underlying SU(3) group structure at each spatial point regulates the theory. The intrinsic time behavior of the theory is analyzed, together with its ground state and primordial quantum fluctuations. Cotton-York potential dominates at early times when the universe was small; the ground state naturally resolves Penrose's Weyl Curvature Hypothesis, and thermodynamic and gravitational `arrows of time' point in the same direction. Ricci scalar potential corresponding to Einstein's General Relativity emerges as a zero-point energy contribution. A new set of fundamental commutation relations without Planck's constant emerges from the unification of Gravitation and Quantum Mechanics.