Derives n-channel invariant ζ_i T_i = C from Ruppeiner geometry on the entropy manifold and shows it resolves state-dependent moduli in granular volume-stress ensembles via off-diagonal curvature.
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An RG-improved Schwarzschild metric with de Sitter core is studied for shadow radius, scalar/EM/Dirac quasinormal modes via WKB and time-domain methods, SCC compliance at the inner horizon, and a Davies-type thermodynamic phase transition.
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Thermodynamic Invariants of Coupled Channels: A Many-Channel Tolman-Ehrenfest Effect
Derives n-channel invariant ζ_i T_i = C from Ruppeiner geometry on the entropy manifold and shows it resolves state-dependent moduli in granular volume-stress ensembles via off-diagonal curvature.
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Renormalization-group improved Schwarzschild black hole: shadow, ringdown, and strong cosmic censorship
An RG-improved Schwarzschild metric with de Sitter core is studied for shadow radius, scalar/EM/Dirac quasinormal modes via WKB and time-domain methods, SCC compliance at the inner horizon, and a Davies-type thermodynamic phase transition.