Claus Gerhardt: The Quantization of Gravity

Cover: 9783319773704 | The Quantization of Gravity | Claus Gerhardt | Buch | xii | Englisch

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

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.

Fachbereich:	Theoretische Physik
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9783319773704
ISBN-10:	3319773704
Sprache:	Englisch
Herstellernummer:	978-3-319-77370-4
Autor:	Gerhardt, Claus
Auflage:	1st ed. 2018
Hersteller:	Springer Springer, Berlin Springer International Publishing
Abbildungen:	XII, 200 p.
Maße:	18 x 160 x 240 mm
Von/Mit:	Claus Gerhardt
Erscheinungsdatum:	18.04.2018
Gewicht:	0,472 kg

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