Spacetime geometric structures and the Search for a Quantum Theory of Gravity

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dc.creatorIftime, M. D.
dc.date2006-12-31
dc.date2008-01-29
dc.date.accessioned2026-07-07T08:56:55Z
dc.date.available2026-07-07T08:56:55Z
dc.descriptionOne of the biggest challenges to theoretical physics of our time is to find a background-independent quantum theory of gravity. Today one encounters a profusion of different attempts at quantization, but no fully accepted - or acceptable, theory of quantum gravity. Any such approach requires a response to a question that lies at the heart of this problem. ``How shall we resolve the tension between the background dependence of all hitherto-successful quantum theories, both non-relativistic quantum mechanics and special-relativistic quantum field theory, and the background independence of classical general relativity?'' The need for a background-independent quantization procedure forms the starting point of my approach. In this paper I shall present a gauge-natural formulation of general relativity, and provide some insights into the structure of the space of geometries, which plays an important role in the construction of a non-perturbative quantum gravity using a path integral approach, as well as in string theory.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0701011
dc.identifierhttp://arxiv.org/abs/gr-qc/0701011
dc.identifierDiff. Geom and Dyn.Syst, vol 10., no 1, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146781
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSpacetime geometric structures and the Search for a Quantum Theory of Gravity
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