The quantization of gravity
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...
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| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
Oct 22 2018
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| In: |
Advances in theoretical and mathematical physics
Year: 2018, Jahrgang: 22, Heft: 3, Pages: 709-757 |
| ISSN: | 1095-0753 |
| DOI: | 10.4310/ATMP.2018.v22.n3.a4 |
| Online-Zugang: | Resolving-System, Volltext: http://dx.doi.org/10.4310/ATMP.2018.v22.n3.a4 Verlag, Volltext: http://intlpress.com/site/pub/pages/journals/items/atmp/content/vols/0022/0003/a004/index.html Verlag, Volltext: https://www.math.uni-heidelberg.de/studinfo/gerhardt/preprints/qgravity2b.pdf 
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| Verfasserangaben: | Claus Gerhardt |
MARC
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| 520 | |a 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. | ||
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