Indeterministic Quantum Gravity

Abstract

A theory which claims to describe all the universe is advanced. It unifies general relativity, quantum field theory, and indeterministic conception. Basic entities are: classical metric tensor $g$, cosmic reference frame (including cosmic time $t$), operator $T$ of energy-momentum tensor, Hamiltonian $H_t$, and state vector $\Psi$. Dynamical equations are: the Einstein equation $G[g]=(\Psi ,T\Psi )$ ($G$ is the Einstein tensor), the Heisenberg equation $dT/dt=i[H_t,T]$, and the condition $H_t{\Psi }_t={\epsilon }_t{\Psi }_t$ arising from the cosmic energy determinacy principle advanced in the theory. The last equation describes quantum jump dynamics. Quantum jumps lead to the instantaneous transferring of action and information, which, however, neither violates the causality principle, nor contradicts quantum field theory and general relativity. The cosmic energy determinacy principle implies the eternal universe, i.e., the cyclic one without beginning and ending, the minimal energy in every cycle being finite.

11 pages, LATEX, Kiev Institute of Physics preprint IP 9/94

Cited by in corpus (9)

• Indeterministic Quantum Gravity IV. The Cosmic-length Universe and the Problem of the Missing Dark Matter
• Indeterministic Quantum Gravity V. Dynamics and Arrow of Time
• Indeterministic Quantum Gravity and Cosmology VII. Dynamical Passage through Singularities: Black Hole and Naked Singularity, Big Crunch and Big Bang
• Indeterministic Quantum Gravity and Cosmology IX. Nonreality of Many-Place Gravitational Autolocalization: Why a Ball Is Not Located in Different Places at Once
• Indeterministic Quantum Gravity and Cosmology VIII. Gravilon: Gravitational Autolocalization
• Cosmological Quantum Jump Dynamics II. The Retrodictive Universe
• Indeterministic Quantum Gravity and Cosmology VI. Predynamical Geometry of Spacetime Manifold, Supplementary Conditions for Metric, and CPT
• Indeterministic Quantum Gravity and Cosmology X. Probability-Theoretic Aspect: A Hidden Selector for Quantum Jumps, or How the Universe Plays the Game of Chance
• Indeterministic Quantum Gravity and Cosmology XI. Quantum Measurement