Black Hole Unitarity via Reflexive Unitarity

The black hole information paradox asks whether gravitational collapse is consistent with global quantum unitarity. We examine this question within the Mathematical Foundations of Reflexive Reality (MFRR) framework, which posits a canonical internal adjudication operator called Transputation (PT) whose inverse PT^-1 implements unitary information recovery at the level of the Perfect Self-Containment (PSC) condition. Within this framework, Hawking evaporation is modelled as a GKSL master equation acting on a JT-like toy Hilbert space. Since every completely positive trace-preserving (CPTP) map admits a Stinespring dilation —a mathematical theorem independent of any gravitational model—the evaporation channel is unitarily equivalent to a reversible evolution on an enlarged system-plus-environment space. The MFRR contribution is interpretive and constructive: we provide a physical mechanism (PT^-1) for understanding which unitary implements the recovery, and we present an explicit construction of the Stinespring unitary for the JT-like PSC model. In the computational experiment TE2. 4, the evaporation channel _ t = e^ t is constructed for a system of n=3 bosonic modes (d=2 Fock levels each, total dimension d_=8) at Hawking temperature TH 0. 004. The environment Hilbert space satisfies E = 7 (one plus the number of Lindblad operators). Numerical verification on vacuum, Fock, and thermal test states yields Stinespring fidelity F 1 - 10^-8; the channel satisfies detailed balance to 0. 00 and the CPTP property is verified via positive semidefiniteness of all evolved states. A thermalization entropy curve is exhibited (consistent with early-time Page behaviour): entropy rises monotonically from zero toward the thermal value, reaching 97. 2 extension to 3+1 quantum gravity, the firewall tension, and a first-principles derivation of PT^-1 remain explicit open fronts.