A Covariant Canonical Quantization of General Relativity. (19th December 2018)

• Record Type: Journal Article
• Authors: Marongwe, Stuart
• Other Names: Rahaman Farook Guest Editor.
• Is Part Of: Advances in high energy physics. Volume 2018(2018)
• Publication Date: 2018-12-19
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2018/4537058
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : 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.