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Feynman Quantization of General Relativity

Feynman Quantization of General Relativity CHARLES W. MISNER Palmer Physical Laboratory, Princeton University, Princeton, New Jersey 1. STRUCTURE OF QUANTUM THEORY OF GENERAL RELATIVITY THIS paper reports the beginnings of the quantum theory of general relativity based on the Feynman" 2 integral or "sum over histories." We have not seen a way to use the Feynman integral to solve immediately all the principal problems. We have to study the theory one piece at a time and to set each fragment in place when we are able to understand it. In this sort of approach we need not follow any logical order, but may study the easy parts first and hope to fill in the rest later. However, some over-all picture of what the completed puzzle may look like is necessary in order to recognize the pieces.T This paper describes in broad outline the principal features of a quantum theory of general relativity and fills in a few details. If rigor could be supplied we would have a theory rather than an approach to one. Two fragmentary but concrete contributions to the theory based on the Feynman integral are made. (1) We formulate an H principle (Sec. 4), which specifies the relative weights to http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reviews of Modern Physics American Physical Society (APS)

Feynman Quantization of General Relativity

Misner, Charles W
Reviews of Modern Physics , Volume 29 (3) – Jul 1, 1957
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1957 The American Physical Society
ISSN
1539-0756
DOI
10.1103/RevModPhys.29.497
Publisher site
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Abstract

CHARLES W. MISNER Palmer Physical Laboratory, Princeton University, Princeton, New Jersey 1. STRUCTURE OF QUANTUM THEORY OF GENERAL RELATIVITY THIS paper reports the beginnings of the quantum theory of general relativity based on the Feynman" 2 integral or "sum over histories." We have not seen a way to use the Feynman integral to solve immediately all the principal problems. We have to study the theory one piece at a time and to set each fragment in place when we are able to understand it. In this sort of approach we need not follow any logical order, but may study the easy parts first and hope to fill in the rest later. However, some over-all picture of what the completed puzzle may look like is necessary in order to recognize the pieces.T This paper describes in broad outline the principal features of a quantum theory of general relativity and fills in a few details. If rigor could be supplied we would have a theory rather than an approach to one. Two fragmentary but concrete contributions to the theory based on the Feynman integral are made. (1) We formulate an H principle (Sec. 4), which specifies the relative weights to

Journal

Reviews of Modern Physics – American Physical Society (APS)

Published: Jul 1, 1957

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