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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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
Oct 22 2018
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| In: |
Advances in theoretical and mathematical physics
Year: 2018, Volume: 22, Issue: 3, Pages: 709-757 |
| ISSN: | 1095-0753 |
| DOI: | 10.4310/ATMP.2018.v22.n3.a4 |
| Online Access: | 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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| Author Notes: | Claus Gerhardt |
| Summary: | 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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| Item Description: | Gesehen am 31.10.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1095-0753 |
| DOI: | 10.4310/ATMP.2018.v22.n3.a4 |