Quantum Geometrodynamics I: Quantum-Driven Many-Fingered Time

Details Quantum Geometrodynamics I: Quantum-Driven Many-Fingered Time Quantum Geometrodynamics I: Quantum-Driven Many-Fingered Time

1994-06-20

arxiv.org/abs/gr-qc/9406031v1

Phys.Rev.D51:493-501,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11, (No Figures), (Typeset using RevTeX)

Scientific paper

10.1103/PhysRevD.51.493

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.

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