Gödel Incompleteness and the Black Hole Information Paradox

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dc.creatorSrikanth, R.
dc.creatorHebri, Srikanth
dc.date2007-05-01
dc.date2008-12-22
dc.date.accessioned2026-07-07T12:20:41Z
dc.date.available2026-07-07T12:20:41Z
dc.descriptionSemiclassical reasoning suggests that the process by which an object collapses into a black hole and then evaporates by emitting Hawking radiation may destroy information, a problem often referred to as the black hole information paradox. Further, there seems to be no unique prediction of where the information about the collapsing body is localized. We propose that the latter aspect of the paradox may be a manifestation of an inconsistent self-reference in the semiclassical theory of black hole evolution. This suggests the inadequacy of the semiclassical approach or, at worst, that standard quantum mechanics and general relavity are fundamentally incompatible. One option for the resolution for the paradox in the localization is to identify the Gödel-like incompleteness that corresponds to an imposition of consistency, and introduce possibly new physics that supplies this incompleteness. Another option is to modify the theory in such a way as to prohibit self-reference. We discuss various possible scenarios to implement these options, including eternally collapsing objects, black hole remnants, black hole final states, and simple variants of semiclassical quantum gravity.
dc.description14 pages, 2 figures; revised according to journal requirements
dc.identifierhttps://arxiv.org/abs/0705.0147
dc.identifierhttp://arxiv.org/abs/0705.0147
dc.identifierQuantum Information Processing 7, 291 (2008)
dc.identifierdoi:10.1007/s11128-008-0089-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213136
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleGödel Incompleteness and the Black Hole Information Paradox
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