The D-Hole framework resolves the classical Kerr ring singularity by introducing a non-extensive thermodynamic regularisation based on Tsallis entropy. The metric potential is modified via an anomaly-coupling tensor within a Kerr-Schild decomposition. We prove analytically that the Kretschmann scalar remains bounded for 1 < q ≤ 5/3, ensuring finite core curvature. Numerical integration using a Painlevé-Gullstrand solver confirms regularity and reveals a time-reversal ("Time Mirror") symmetry at the core, indicating unitary evolution and a resolution to the information loss paradox. The model preserves the photon ring radius r_ph = 3M and the M87* shadow diameter, consistent with EHT observations. The KAD field couples the geometry to the interior statistical state, providing a predictive framework for singularity-free compact objects.
Companion technical report for the manuscript 'D-Holes: Regularized Rotating Spacetimes from Non-Extensive Entropy' submitted to Physical Review Letters.
Publication Date: 2026-06-20