Quantum geometrodynamics: Quantum-driven many-fingered time

Journal Article · Sun Jan 15 04:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.493· OSTI ID:6605836

Kheyfets, A ^[1]; Miller, W A ^[2]

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1. Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205 (United States)
2. Theoretical Division (T-6, MS B288), Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

The classical theory of gravity predicts its own demise---singularities. We therefore attempt to quantize gravitation, and present here a new approach to the quantization of gravity wherein the concept of time is derived by imposing the constraints as expectation-value equations over the true dynamical degrees of freedom of the gravitational field---a representation of the underlying anisotropy of space. This self-consistent approach leads to qualitatively different predictions than the Dirac and the ADM quantizations, and, in addition, our theory avoids the interpretational conundrums associated with the problem of time in quantum gravity. We briefly describe the structure of our functional equations, and apply our quantization technique to two examples so as to illustrate the basic ideas of our approach.

• OSTI ID: 6605836
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 51:2; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661310* -- Relativity & Gravitation-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
BASIC INTERACTIONS
CONSTRAINTS
DEGREES OF FREEDOM
EXPECTATION VALUE
FIELD THEORIES
GRAVITATIONAL FIELDS
GRAVITATIONAL INTERACTIONS
INTERACTIONS
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM GRAVITY
SINGULARITY