The quantization of gravity

• Verfasst von: Gerhardt, Claus [VerfasserIn]
• Titel: The quantization of gravity
• Verf.angabe: Claus Gerhardt
• Umfang: 49 S.
• Fussnoten: Gesehen am 31.10.2018
• Titel Quelle: Enthalten in: Advances in theoretical and mathematical physics
• Jahr Quelle: 2018
• Band/Heft Quelle: 22(2018), 3, S. 709-757
• ISSN Quelle: 1095-0753
• DOI: doi:10.4310/ATMP.2018.v22.n3.a4
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1582483647

Abstract

In a former paper we proposed a model for the quantization of gravity by working in a bundle E where we realized the Hamilton constraint as the Wheeler-DeWitt equation. However, the corresponding operator only acts in the fibers and not in the base space. Therefore, we now discard the Wheeler-DeWitt equation and express the Hamilton constraint differently, either with the help of the Hamilton equations or by employing a geometric evolution equation. There are two possible modifications possible which both are equivalent to the Hamilton constraint and which lead to two new models. In the first model we obtain a hyperbolic operator that acts in the fibers as well as in the base space and we can construct a symplectic vector space and a Weyl system.