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The Structural Conditions of Physical Identity - How Physics Instantiates Without Deriving the Foundations of Persistent Transformation
La Profilée (LP) is a structural law of persistent identity under transformation. From three minimal assumptions — distinguishability (M1), real transformation (M2), determinable persistence relation (M3) — LP derives the complete persistence architecture: F·M·K decomposition, IR = R/(F·M·K) ≤ 1, the Frame Continuity Condition (FCC), and the two universal persistence conditions Q1 and Q2. This paper establishes LP's architecture across physical domains. The central claim: every physical theory instantiates Q1–Q2 and the F·M·K architecture. No physical theory derives them. LP makes explicit what physics has always left implicit. For each physical domain, LP derives the domain-specific F·M·K conditions that the domain presupposes without grounding: for GR — diffeomorphism invariance (F-condition), non-linearity (M-condition), and existence of stable geometric regimes (K-condition); for QM — unitarity (M-condition, derived from M3); for the pre-geometric level F₀ — spacetime emergence (F-condition), fundamental unitarity (M-condition), and the information bound (K-condition). Note on architecture: Q3–Q5 are not general persistence conditions. They are domain-specific consequences of the F·M·K architecture applied to self-modeling Σ-complete persistence subjects (P162, P167). Physics operates with Q1–Q2 and domain-specific F·M·K conditions. Q3–Q5 apply where LP-admissible systems reach Σ-completeness, self-modeling, and internal dominance — the structural threshold for subjectivity.
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