Intrinsic Time Quantum Geometrodynamics

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.

6 pages

References in corpus (4)

• Quantum Gravity at a Lifshitz Point
• Generalized Painlevé-Gullstrand metrics
• Intrinsic time gravity and the Lichnerowicz-York equation
• Exact solutions of the Wheeler-DeWitt equation and the Yamabe construction

Cited by in corpus (5)

• Cosmic time and reduced phase space of General Relativity
• Intrinsic time gravity, heat kernel regularization, and emergence of Einstein's theory
• Quantum geometrodynamics with intrinsic time development
• Gravitational waves in Intrinsic Time Geometrodynamics
• Cosmic time and the initial state of the universe