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arxiv: gr-qc/0412008 · v1 · submitted 2004-12-02 · 🌀 gr-qc

Quantum Horizons and Space-Time Non-Commutativity

classification 🌀 gr-qc
keywords near-horizonoperatorconstructiondescribeddiscusseddynamicsexplicitefield
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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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