Topological Quantum Gravity through Harmonic S2 Maps
Abstract
By virtue of harmonic maps on two-dimensional spheres (S2), a topological quantization in spacetime is proposed. The discrete character of all physical quantities follows naturally. A Schwarzschild black hole, non-black hole and wormhole based geometries are considered in which a quantum hair becomes effective. A thermometer or curvature-detecting device can record the macroscopic quantumness of spacetime.
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