Quantum Horizons and Space-Time Non-Commutativity
arXiv:gr-qc/0412008
Abstract
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.
LaTex, 6 pages, no figures, Expanded version of a poster presented at 5 European Advanced Study Conference in Ancient Olympia, Greece, July 2004. to appear in a special issue of IJBC