Spin-dependent topological structure of black-hole thermodynamics
Abstract
Thermodynamic topology classifies black-hole equilibrium states through topological defects of an off-shell thermodynamic field, while quantum-corrected Hawking radiation can retain information about the quantum numbers of the emitted particle. Whether these two structures are connected has remained largely unexplored. In this work we investigate this question for a massive-gravity AdS black hole by combining arbitrary-spin zitterbewegung tunneling with generalized-uncertainty-principle corrections. We derive the particle-spin-dependent Hawking temperature, construct the corresponding channel-dependent effective entropy through the first law, and formulate the associated off-shell free energy and thermodynamic vector field. As reference sectors, we also analyze the Bekenstein-Hawking and exponentially corrected entropies. We find a clear separation between local and global thermodynamic topology. For the γ=−1 branch, a single positively wound defect persists, yielding W=+1, whereas for γ=+1 the defects occur in oppositely wound pairs and the global charge remains W=0. The particle spin nevertheless shifts the defect positions and the critical configurations at which the γ=+1 pair merges and annihilates. The fold separating the two-defect and defect-free regions is controlled jointly by the particle spin, the GUP parameter, and the cosmological constant. Thus, the quantum properties of the emitted particle do not alter the global topological class, but they reorganize the local defect and bifurcation structure within it. Our results establish a direct connection between quantum-corrected Hawking radiation and the corresponding effective off-shell thermodynamic topology, showing that its local defect structure can retain information about the quantum channel through which the black hole radiates.
Related
- Topological Thermodynamics of Generalized Bardeen Black Hole
- Environment-induced topological reconstruction of black-hole thermodynamics
- Topological Interpretations in Anisotropic Kerr-Newman-AdS Black Hole Thermodynamics
- Topological supersolidity of dipolar Fermi gases in a spin-dependent optical lattice
- Black holes from a nonlocal equation of state: horizon geometry, singularity structure and thermodynamics
BibTeX
@misc{sucu2026spindependent,
title = {{Spin-dependent topological structure of black-hole thermodynamics}},
author = {Erdem Sucu and İzzet Sakallı and Yusuf Sucu and Emmanuel N. Saridakis},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.02035},
eprint = {2611.02035},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.02035},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Spin-dependent topological structure of black-hole thermodynamics
AU - Erdem Sucu
AU - İzzet Sakallı
AU - Yusuf Sucu
AU - Emmanuel N. Saridakis
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.02035
UR - https://arxiv.org/abs/2611.02035
AB - Thermodynamic topology classifies black-hole equilibrium states through topological defects of an off-shell thermodynamic field, while quantum-corrected Hawking radiation can retain information about the quantum numbers of the emitted particle. Whether these two structures are connected has remained largely unexplored. In this work we investigate this question for a massive-gravity AdS black hole by combining arbitrary-spin zitterbewegung tunneling with generalized-uncertainty-principle corrections. We derive the particle-spin-dependent Hawking temperature, construct the corresponding channel-dependent effective entropy through the first law, and formulate the associated off-shell free energy and thermodynamic vector field. As reference sectors, we also analyze the Bekenstein-Hawking and exponentially corrected entropies. We find a clear separation between local and global thermodynamic topology. For the γ=−1 branch, a single positively wound defect persists, yielding W=+1, whereas for γ=+1 the defects occur in oppositely wound pairs and the global charge remains W=0. The particle spin nevertheless shifts the defect positions and the critical configurations at which the γ=+1 pair merges and annihilates. The fold separating the two-defect and defect-free regions is controlled jointly by the particle spin, the GUP parameter, and the cosmological constant. Thus, the quantum properties of the emitted particle do not alter the global topological class, but they reorganize the local defect and bifurcation structure within it. Our results establish a direct connection between quantum-corrected Hawking radiation and the corresponding effective off-shell thermodynamic topology, showing that its local defect structure can retain information about the quantum channel through which the black hole radiates.
ER -