Paper analyzes black-hole boundaries under The PATON Continuity Architecture, highlighting methodological insights.
This paper applies The PATON Continuity Architecture to black holes as a boundary-test case for admissibility, legibility, persistence, and continuity under extreme constraint. The paper does not introduce new black-hole physics, replace General Relativity, solve the black-hole information paradox, or describe the internal ontology of a black hole. Instead, it extends earlier PATON work in which black-hole boundary behaviour was already treated through horizon limits, admissibility gates, and Tier-8 stopping discipline. Within the PATON System, black-hole boundary behaviour is interpreted as a form of admissibility collapse. This does not mean a new physical collapse mechanism. It means that ordinary matter-description no longer remains admissible as ordinary matter-description. The structure does not disappear; it changes regime. Ordinary matter closure collapses into gravitational closure. External relation remains legible through mass, charge, spin, horizon behaviour, gravitational influence, merger behaviour, and surrounding-field interaction, while internal description becomes boundary-limited. The paper argues that black holes are not anomalies to The PATON Continuity Architecture. They are strong boundary-test cases. They test whether boundary, relation, persistence, admissibility, spacetime / field possibility, matter closure, scale handover, and continuity under constraint remain coherent when ordinary matter closure reaches a horizon-scale gravitational regime. The central claim is methodological and structural: black holes do not require SFM 2.0 to alter existing black-hole knowledge. Rather, they demonstrate why admissibility discipline is required when external description remains possible but internal legibility reaches a Tier-8 stopping boundary.
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A J Paton (2026) studied this question.
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