The Black Hole That Remembers Everything

Natural Evolution of Actuality (NEA) is a constructive theory of physical realisation foundedon independent abstract parental lawfulness M and F and primitive consequential joining Ω. In itsdeveloped geometric branch, a black-hole horizon is treated first as a restriction on exterior causalaccessibility, not as a logical proof that locally realised distinctions or their consequential Historyare destroyed. This paper formulates that position mathematically, preserving the source theory’sstrict separation among State, Record, Shadow, Scar, and History. We establish a task-relativesufficiency criterion for legitimate reductions, show with an exact two-qubit example that anexterior marginal can conceal globally distinguishable states, and recover the original Schur–Scarthree-address calculation as an independent demonstration that eliminating a coordinate need noteliminate its influence. We then construct a selected finite-dimensional radiation channel in whichBell-paired internal registers are emitted by a sequence of reversible swaps. The reduced radiationentropy follows the exact Page-shaped sequence Sk = min(k, 2m − k)ln 2, while the full stateremains pure. An additional capacity bound specifies how much outgoing state space is necessaryif the internal sector is finally reset. A reverse-order Record permutation provides a separate,explicitly conditional correlation signature. These are exact results for declared mathematicalmodels, not a derivation of Hawking radiation, the black-hole area law, a physical horizon-transferoperator, or the evaporation dynamics of an astrophysical black hole. The exploratory advance isa coherent NEA-first framework separating causal inaccessibility, physical Record retention, andpossible information recovery without conflating them