Space-Time Non-Commutativity near Horizon of a Black Hole

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dc.creatorMartinis, M.
dc.creatorMikuta-Martinis, V.
dc.date2005-02-25
dc.date.accessioned2026-07-07T03:29:25Z
dc.date.available2026-07-07T03:29:25Z
dc.descriptionWe consider dynamics of a quantum scalar field, minimally coupled to classical gravity, in the near-horizon region of a Schwarzschild black-hole. It is described by a static Klein-Gordon operator which in the near-horizon region reduces to a scale invariant Hamiltonian of the system. This Hamiltonian is not essentially self-adjoint, but it admits a one-parameter family of self-adjoint extension. The time-energy uncertainty relation, which can be related to the thermal black-hole mass fluctuations, requires explicit construction of a time operator near-horizon. We present its derivation in terms of generators of the affine group. Matrix elements involving the time operator should be evaluated in the affine coherent state representation.
dc.description7 pages, LaTex
dc.identifierhttps://arxiv.org/abs/gr-qc/0502111
dc.identifierhttp://arxiv.org/abs/gr-qc/0502111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35213
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSpace-Time Non-Commutativity near Horizon of a Black Hole
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