A Horizon Entropy-to-Information Research Program for Black Holes: Constraint-Free Thermodynamics, Boundary Preservation, Record-Relay Tests, and Source-Side Representation

This paper organizes black-hole physics — general relativity, horizon thermodynamics, quantum-information accounting, conditional record-relay models, gravitational-wave inference, and source-side information–energy representation — into a single typed and revisable research program, without collapsing the distinct mathematical and evidentiary status of its parts. The program rests on two independent, established anchors: a constraint-free entropy-displacement formulation of the horizon first law, and the Bekenstein–Hawking area law in the Einstein sector. From these, the paper defines a dimensionless horizon-information coordinate and derives its differential, conjugate, and capacity relations as exact coordinate identities — a change of variables, not new field equations or microscopic dynamics. The central result is the Interface-Closure Theorem. Instead of one implication chain running from the horizon law to every later claim, the program is represented as six typed interfaces, each with declared inputs, auxiliary premises, units and frames, and provenance. The theorem proves that these handoffs close as a typed architecture while forbidding any conditional model, detector product, or representation from being promoted into a deduction from the horizon core. Revision is therefore layer-local: a detector failure recalibrates the detector layer, and a relay-coordinate failure revises only that conditional module. As a working application, a frame audit of GW250114 shows that the archived delayed-signal analysis was executed at a source-frame window, whereas the frame-consistent detector-frame target lies about 23 milliseconds later. The corrected target is fixed before any delayed strain window is inspected, and the paper preregisters the event-level and catalog-level revision rules, the finite-amplitude exclusion gates, and a phase-coherence admissibility gate — currently closed, so the appropriate present analysis remains phase-marginalized. On the source side, the general GR-preserving information–energy representation is kept at definition level, and the paper proves an independent, non-circular construction of the source tensor for equilibrium radiation; extension to general matter is stated as an open problem. The paper establishes the exact two-anchor horizon-coordinate core, the Interface-Closure Theorem with its provenance-preserving revision architecture, the GW250114 frame audit with a fixed detector-frame rerun specification, and the equilibrium-radiation source theorem. It claims no relay detection, no validated amplitude exclusion, and no general-matter source theorem; it fixes the coordinates, gates, and failure conditions under which those claims can be tested without retrospective adjustment. Keywords: black-hole information physics; Interface-Closure Theorem; black-hole thermodynamics; horizon information coordinate; entropy displacement; boundary information preservation; record-relay coordinate; gravitational-wave inference; GW250114; detector-frame prediction; phase coherence; equilibrium radiation; information–energy representation; falsifiability; provenance preservation