Quantum Horizons and Space-Time Non-Commutativity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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LaTex, 6 pages, no figures, Expanded version of a poster presented at 5 European Advanced Study Conference in Ancient Olympia,

Scientific paper

We study dynamics of a scalar field in the near-horizon region described by a
static Klein-Gordon operator which is the Hamiltonian of the system. The
explicite construction of a time operator near-horizon is given and its
self-adjointness discussed.

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