A Covariant Canonical Quantization of General Relativity

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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Main Author: Stuart Marongwe
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2018/4537058
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spelling doaj-337d013044a241f780116a8ca1e8a6172020-11-24T21:56:35ZengHindawi LimitedAdvances 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
collection DOAJ
language English
format Article
sources DOAJ
author Stuart Marongwe
spellingShingle Stuart Marongwe
A Covariant Canonical Quantization of General Relativity
Advances in High Energy Physics
author_facet Stuart Marongwe
author_sort Stuart Marongwe
title A Covariant Canonical Quantization of General Relativity
title_short 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_sort covariant canonical quantization of general relativity
publisher Hindawi Limited
series Advances in High Energy Physics
issn 1687-7357
1687-7365
publishDate 2018-01-01
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.
url http://dx.doi.org/10.1155/2018/4537058
work_keys_str_mv AT stuartmarongwe acovariantcanonicalquantizationofgeneralrelativity
AT stuartmarongwe covariantcanonicalquantizationofgeneralrelativity
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