A Covariant Canonical Quantization of General Relativity
A Hamiltonian formulation of General Relativity within the context of the Nexus Paradigm of quantum gravity is presented. We show that the Ricci flow in a compact matter free manifold serves as the Hamiltonian density of the vacuum as well as a time evolution operator for the vacuum energy density....
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/4537058 |
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| _version_ | 1832545357838417920 |
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| author | Stuart Marongwe |
| author_facet | Stuart Marongwe |
| author_sort | Stuart Marongwe |
| collection | DOAJ |
| description | A Hamiltonian formulation of General Relativity within the context of the Nexus Paradigm of quantum gravity is presented. We show that the Ricci flow in a compact matter free manifold serves as the Hamiltonian density of the vacuum as well as a time evolution operator for the vacuum energy density. The metric tensor of GR is expressed in terms of the Bloch energy eigenstate functions of the quantum vacuum allowing an interpretation of GR in terms of the fundamental concepts of quantum mechanics. |
| format | Article |
| id | doaj-art-337d013044a241f780116a8ca1e8a617 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-337d013044a241f780116a8ca1e8a6172025-02-03T07:26:02ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/45370584537058A Covariant Canonical Quantization of General RelativityStuart Marongwe0Department of Physics and Astronomy, Botswana International University of Science and Technology, P. Bag 16, Palapye, BotswanaA Hamiltonian formulation of General Relativity within the context of the Nexus Paradigm of quantum gravity is presented. We show that the Ricci flow in a compact matter free manifold serves as the Hamiltonian density of the vacuum as well as a time evolution operator for the vacuum energy density. The metric tensor of GR is expressed in terms of the Bloch energy eigenstate functions of the quantum vacuum allowing an interpretation of GR in terms of the fundamental concepts of quantum mechanics.http://dx.doi.org/10.1155/2018/4537058 |
| spellingShingle | Stuart Marongwe A Covariant Canonical Quantization of General Relativity Advances in High Energy Physics |
| title | A Covariant Canonical Quantization of General Relativity |
| title_full | A Covariant Canonical Quantization of General Relativity |
| title_fullStr | A Covariant Canonical Quantization of General Relativity |
| title_full_unstemmed | A Covariant Canonical Quantization of General Relativity |
| title_short | A Covariant Canonical Quantization of General Relativity |
| title_sort | covariant canonical quantization of general relativity |
| url | http://dx.doi.org/10.1155/2018/4537058 |
| work_keys_str_mv | AT stuartmarongwe acovariantcanonicalquantizationofgeneralrelativity AT stuartmarongwe covariantcanonicalquantizationofgeneralrelativity |