pc-Gravity as a Geometric Resolution of the Black Hole Information Paradox

Abstract We investigate the black hole information paradox in the setting ofpseudo-complex gravity, a covariant geometric extension of generalrelativity that introduces a minimal length scale by deforming thespacetime manifold. In this framework, curvature invariants stayfinite, and the classical singularity is geometrically regularized viaa smooth core. We show that the correction term B/(6 r 4 ) alters theSchwarzschild metric, generating the regularized geometry above,yielding a finite Hawking temperature, and inducing subleadingcorrections to the Bekenstein–Hawking entropy.Crucially, we demonstrate that the pseudo-complex geometric structureobstructs a clean factorization of the Hilbert space into interior andexterior regions, thereby removing the key assumption behind thestandard derivation of the paradox. This structural reinterpretationof entanglement flow offers a new geometric route to unitaritypreservation and information recovery.We examine the resulting effects on evaporation dynamics, entropyflow, and thermodynamic behavior. Our predictions are compared withthose of generalized uncertainty principles (GUP), loop quantumgravity (LQG), and island-based models, and are summarized in acomparative table. Observable signatures—such as shifts inquasi-normal mode frequencies and the appearance of gravitational waveechoes from the regularized core—suggest that pseudo-complex gravityis a testable, covariant approach to resolving the paradox withoutinvoking firewalls, holography, or exotic quantum states.