Towards a "pre-canonical" quantization of gravity without the space+time decomposition

dc.creatorKanatchikov, I. V.
dc.date1999-09-09
dc.date.accessioned2026-07-07T03:33:33Z
dc.date.available2026-07-07T03:33:33Z
dc.descriptionQuantization of gravity is discussed in the context of field quantization based on an analogue of canonical formalism (the De Donder-Weyl canonical theory) which does not require the space+time decomposition. Using Horava's (1991) De Donder-Weyl formulation of General Relativity we put forward a covariant generalization of the Schrödinger equation for the wave function of space-time and metric variables and a supplementary ``bootstrap condition'' which self-consistently incorporates the classical background space-time geometry as a quantum average and closes the system of equations. Some open questions for further research are outlined.
dc.description19 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/gr-qc/9909032
dc.identifierhttp://arxiv.org/abs/gr-qc/9909032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36611
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleTowards a "pre-canonical" quantization of gravity without the space+time decomposition
dc.typetext

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