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Topological Quantum Gravity through Harmonic S$^{2}$ Maps (2512.22289v1)
Published 25 Dec 2025 in gr-qc
Abstract: By virtue of harmonic maps on two-dimensional spheres (S${2}$), 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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