LETTER: Quantum Singularity of Quasiregular Spacetimes |
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Authors: | D A Konkowski T M Helliwell |
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Institution: | (1) Department of Mathematics, U.S. Naval Academy, Annapolis, Maryland, 21402;(2) Department of Physics, Harvey Mudd College, Claremont, California, 91711 |
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Abstract: | Some of the mildest singularities in classical general relativity are shown to be singular quantum mechanically as well. A class of the mild, topological singularities known as quasiregular singularities remains singular when probed by quantum wave packets. These static spacetimes possessing dislocations and disclinations are quantum-mechanically singular since the spatial portion of the wave operator is not essentially self-adjoint and thus the evolution of a test quantum wave packet is not uniquely determined by the initial wave function. |
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Keywords: | Quasiregular singularities quantum singularities dislocations |
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