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000838635 019__ $$a1031948519$$a1032031269$$a1032106979
000838635 020__ $$a9783319773711$$q(electronic book)
000838635 020__ $$a3319773712$$q(electronic book)
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000838635 0247_ $$a10.1007/978-3-319-77371-1$$2doi
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000838635 049__ $$aISEA
000838635 050_4 $$aQC178
000838635 08204 $$a531/.14$$223
000838635 1001_ $$aGerhardt, Claus,$$eauthor.
000838635 24514 $$aThe quantization of gravity /$$cClaus Gerhardt.
000838635 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018.
000838635 300__ $$a1 online resource (x, 200 pages).
000838635 336__ $$atext$$btxt$$2rdacontent
000838635 337__ $$acomputer$$bc$$2rdamedia
000838635 338__ $$aonline resource$$bcr$$2rdacarrier
000838635 4901_ $$aFundamental theories of physics,$$x0168-1222 ;$$vvolume 194
000838635 504__ $$aIncludes bibliographical references and indexes.
000838635 5050_ $$aThe quantization of a globally hyperbolic spacetime -- Interaction of gravity with Yang-Mills and Higgs fields -- The quantum development of an asymptotically Euclidean Cauchy hypersurface -- The quantization of a Schwarzschild-AdS black hole -- The quantization of a Kerr-AdS black hole -- A partition function for quantized globally hyperbolic spacetimes with a negative cosmological constant -- Appendix.
000838635 506__ $$aAccess limited to authorized users.
000838635 520__ $$aA unified quantum theory incorporating the four fundamental forces of nature is one of the major open problems in physics. The Standard Model combines electro-magnetism, the strong force and the weak force, but ignores gravity. The quantization of gravity is therefore a necessary first step to achieve a unified quantum theory. In this monograph a canonical quantization of gravity has been achieved by quantizing a geometric evolution equation resulting in a gravitational wave equation in a globally hyperbolic spacetime. Applying the technique of separation of variables we obtain eigenvalue problems for temporal and spatial self-adjoint operators where the temporal operator has a pure point spectrum with eigenvalues $\lambda_i$ and related eigenfunctions, while, for the spatial operator, it is possible to find corresponding eigendistributions for each of the eigenvalues $\lambda_i$, if the Cauchy hypersurface is asymptotically Euclidean or if the quantized spacetime is a black hole with a negative cosmological constant. The hyperbolic equation then has a sequence of smooth solutions which are products of temporal eigenfunctions and spatial eigendistributions. Due to this "spectral resolution" of the wave equation quantum statistics can also be applied to the quantized systems. These quantum statistical results could help to explain the nature of dark matter and dark energy. .
000838635 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 17, 2018).
000838635 650_0 $$aQuantum gravity.
000838635 650_0 $$aGravity$$xMeasurement.
000838635 650_0 $$aStandard model (Nuclear physics)
000838635 77608 $$iPrint version: $$z3319773704$$z9783319773704$$w(OCoLC)1022780459
000838635 830_0 $$aFundamental theories of physics ;$$vv. 194.
000838635 852__ $$bebk
000838635 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-77371-1$$zOnline Access$$91397441.1
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