Topological Quantum Gravity through Harmonic S$^{2}$ Maps
General Relativity and Quantum Cosmology
2025-12-30 v1
Abstract
By virtue of harmonic maps on two-dimensional spheres (S), 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.
Cite
@article{arxiv.2512.22289,
title = {Topological Quantum Gravity through Harmonic S$^{2}$ Maps},
author = {M. Halilsoy and S. Habib Mazharimousavi},
journal= {arXiv preprint arXiv:2512.22289},
year = {2025}
}
Comments
This paper is dedicated to Prof. Metin G\"{u}rses on the occasion of his completion of sixty fruitful years of contributions to the field of General Relativity