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The Quantization of Gravity

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Quantization of Gravity/ by Claus Gerhardt.
作者:	Gerhardt, Claus.
面頁冊數:	XII, 200 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Gravitation. -
電子資源:	https://doi.org/10.1007/978-3-319-77371-1
ISBN:	9783319773711

The Quantization of Gravity
Gerhardt, Claus.

The Quantization of Gravity[electronic resource] /by Claus Gerhardt. - 1st ed. 2018. - XII, 200 p.online resource. - Fundamental Theories of Physics,1940168-1222 ;. - Fundamental Theories of Physics,178.

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.

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. .

ISBN: 9783319773711

Standard No.: 10.1007/978-3-319-77371-1doiSubjects--Topical Terms:

591793
Gravitation.

LC Class. No.: QC178

Dewey Class. No.: 530.1

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