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Constraint-Compatible Continuity Binding v2.0 A Structural Fingerprint Method Interpretation of Quantum Gravity

Paton, Andrew John · 2026
PhilArchive · Papers · 2026
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philosophy
This paper presents a Structural Fingerprint Method (SFM) interpretation of Quantum Gravity through constraint-compatible continuity binding. Rather than treating General Relativity and Quantum Mechanics as mutually destructive or competing truths, the framework instead interprets them as locally lawful descriptive regimes requiring admissibility-preserving continuity translation across overlapping observational domains. The paper proposes that the missing structure may fundamentally involve: • continuity-preserving admissibility corridors, • overlap reconstruction stability, • tolerance-compatible translation, • and observer-consistent continuity reconstruction across scale transitions. Importantly, the framework: • does not replace existing physics, • does not modify General Relativity or Quantum Mechanics, • and does not claim a completed “Theory of Everything.” Instead, the SFM mathematical layer behaves more like: a stabilising lens between lawful descriptive regimes. Structural Compression: GR ↔ SFM Continuity Corridor ↔ QM Version 2.0 expands the original framework through: • formal admissibility operators, • continuity corridor mathematics, • reconstruction mappings, • recursive stability conditions, • and expanded overlap formalisation.
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