Rényi Entropy Framework Assigns Identical Topological Charge of 1 to Canonical and Mixed Ensembles of Charged AdS Black Holes
Preprint classifies thermodynamic topology of a charged AdS black hole under Rényi entropy, finding ensemble-dependent generation/annihilation points and a shared global charge of +1 in two ensembles. Evidence consists of analytic winding-number calculations; limitation is absence of stability analysis or observational mapping.
The paper remains purely classical and four-dimensional; quantum corrections or higher-curvature terms could shift the reported charges. A natural next step is to repeat the calculation for five-dimensional Gauss-Bonnet black holes or to test whether the same winding numbers appear when Rényi parameter q is varied continuously rather than held fixed.
Upadhyay et al.: Follow-up calculation for Gauss-Bonnet-AdS will shift global topological charge by at least 1 within 18 months of submission.
Sources (2)
- [1]Primary Source(https://arxiv.org/abs/2608.23583)
- [2]Supporting Source(https://journals.aps.org/prd/abstract/10.1103/PhysRevD.102.024003)