The black hole information paradox has persisted as one of the most consequentialunresolved problems at the intersection of quantum mechanics and general relativity.This paper applies the CL5D Hybrid Model — a deterministic multi-phase mathematicalframework (Papers 1–7, Chakraborty, 2026) — to address three interrelatedopen problems: (i) whether distinct black holes possess unique physical identitiesbeyond the classical parameters of mass, charge, and spin prescribed by the No-HairTheorem (NHT); (ii) whether a black hole can undergo a re-emergence transitionanalogous to Phase IV in the CL5D phase taxonomy; and (iii) the mechanism bywhich quantum information is recovered during black hole evaporation, as describedby the Page curve. We apply the same Benchmark Score formulation used in Papers6 and 7 to define BS,BH as a function of the Fractal Heterogeneity Coefficient α andthe skewness and kurtosis of the black hole’s micro-event phase space. Three Propositionsare stated, each followed by a Proof of Concept. Proposition 1 establishes thatfive black holes with identical (M, Q, J) but different formation histories produceBenchmark Scores ranging from BS = 0.12 to BS = 0.99, directly disproving physicalidentity at the CL5D level. Proposition 2 demonstrates that the CL5D tunnellingamplitude Etunnel = ECt · e−2κd is analytically identical to the Hawking emissionrate with residual below machine precision. Proposition 3 shows that the CL5DEvolution set → Decay set transition at the Conjugate Balance point reproducesthe Page curve exactly, with the parameter α controlling the Page time. JWSTobservational data — Little Red Dots and the Virgil galaxy in the El Gordo cluster— provide empirical anchors consistent with elevated-α black hole populations.
Mrinmoy Chakraborty (Wed,) studied this question.