On Information Theory, Spectral Geometry and Quantum Gravity

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dc.creatorKempf, Achim
dc.creatorMartin, Robert
dc.date2007-08-01
dc.date.accessioned2026-07-07T11:41:40Z
dc.date.available2026-07-07T11:41:40Z
dc.descriptionWe show that there exists a deep link between the two disciplines of information theory and spectral geometry. This allows us to obtain new results on a well known quantum gravity motivated natural ultraviolet cutoff which describes an upper bound on the spatial density of information. Concretely, we show that, together with an infrared cutoff, this natural ultraviolet cutoff beautifully reduces the path integral of quantum field theory on curved space to a finite number of ordinary integrations. We then show, in particular, that the subsequent removal of the infrared cutoff is safe.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0708.0062
dc.identifierhttp://arxiv.org/abs/0708.0062
dc.identifierPhys.Rev.Lett.100:021304,2008
dc.identifierdoi:10.1103/PhysRevLett.100.021304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200615
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn Information Theory, Spectral Geometry and Quantum Gravity
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