The quantization of gravity / Claus Gerhardt.
Gerhardt, Claus, author.
2018
QC178
Available Online

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Title The quantization of gravity / Claus Gerhardt.
Author Gerhardt, Claus, author.
ISBN 9783319773711 (electronic book)
3319773712 (electronic book)
9783319773704
3319773704
DOI https://doi.org/10.1007/978-3-319-77371-1
Published Cham, Switzerland : Springer, 2018.
Language English
Description 1 online resource (x, 200 pages).
Other Standard Identifiers 10.1007/978-3-319-77371-1 doi
Call Number QC178
Dewey Decimal Classification 531/.14
Summary A unified quantum theory incorporating the four fundamental forces of nature is one of the major open problems in physics. The Standard Model combines electro-magnetism, the strong force and the weak force, but ignores gravity. The quantization of gravity is therefore a necessary first step to achieve a unified quantum theory. In this monograph a canonical quantization of gravity has been achieved by quantizing a geometric evolution equation resulting in a gravitational wave equation in a globally hyperbolic spacetime. Applying the technique of separation of variables we obtain eigenvalue problems for temporal and spatial self-adjoint operators where the temporal operator has a pure point spectrum with eigenvalues $\lambda_i$ and related eigenfunctions, while, for the spatial operator, it is possible to find corresponding eigendistributions for each of the eigenvalues $\lambda_i$, if the Cauchy hypersurface is asymptotically Euclidean or if the quantized spacetime is a black hole with a negative cosmological constant. The hyperbolic equation then has a sequence of smooth solutions which are products of temporal eigenfunctions and spatial eigendistributions. Due to this "spectral resolution" of the wave equation quantum statistics can also be applied to the quantized systems. These quantum statistical results could help to explain the nature of dark matter and dark energy. .
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed April 17, 2018).
Series Fundamental theories of physics ; v. 194.
Available in Other Form Print version: 9783319773704
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All Resources
The quantization of a globally hyperbolic spacetime
Interaction of gravity with Yang-Mills and Higgs fields
The quantum development of an asymptotically Euclidean Cauchy hypersurface
The quantization of a Schwarzschild-AdS black hole
The quantization of a Kerr-AdS black hole
A partition function for quantized globally hyperbolic spacetimes with a negative cosmological constant
Appendix.

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