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Black Hole Information and Observability as Structural Projection: A Temporal Rate Ontology Framework
The black hole information paradox is commonly formulated as a tension between unitary quantum evolution and the semiclassical description of black hole evaporation. In this work we propose a structural reinterpretation of the problem within the framework of Temporal Rate Ontology (TRO). The present work does not introduce new dynamical laws. It establishes instead a minimal structural framework in which information is identified with admissible continuation structure and observables correspond to coarse-grained representations of this structure. Within this framework, black holes are characterized as regimes of constrained continuation in which the mapping from underlying structure to observable representation becomes non-injective. We define a formal notion of projection from continuation structure to observables and show that, under general conditions, multiple non-isomorphic continuation structures may correspond to identical observational outputs. Apparent information loss is therefore understood as projection-induced degeneracy rather than destruction of underlying structure. A minimal finite construction is provided to demonstrate the emergence of observational non-injectivity under constrained continuation growth. The analysis is consistent with General Relativity at the representational level and does not modify semiclassical predictions. It provides instead a structural account of information accessibility, observational incompleteness, and effective irreversibility in black hole evaporation.
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