Structural Principle of Entanglement Core Framework

<Structural Principle of Entanglement (PSE) - Version 5.3 - Conceptually final formulation> The 5.3 release of the PSE — Structural Principle of Entanglement represents the first conceptually final formulation of the theory, following the complete stabilization of its fundamental ontological chain: S → Dₛ(f) → Cf → Dₛ(e) → Ce → Φ → 𝒟_physical In this structure, the chain is no longer referenced to the metric as its final object, but to the map Φ, which projects into the physical domain and from which the entire physical dynamics 𝒟_physical emerges deterministically.The theory establishes an ontological and mathematical framework in which all emergent physical quantities — metric, fields, geometric invariants, energetic and dynamical quantities — derive in a deterministic, stable, regular, and non‑amplifying manner from the fundamental structure F. Version 5.3 definitively consolidates: the general conceptual framework of the PSE and its emergent chain, the rigorous mathematical formalization of the emergent domain, the definition of the fundamental operators Γ, Ξ, and Δ, the proof of the functional uniqueness of the projection Φ into the physical domain, the deterministic derivation of the metric and emergent fields as components of Φ, the physical corollaries concerning curvature, derived tensor fields, and emergent stability. The release includes four documents: Conceptual framework (IT) — complete exposition of the theoretical structure, ontological assumptions, and emergent chain. Mathematical formalization (IT) — definitions, operators, Theorems, Corollaries, stability and functional determination. Conceptual framework (EN)— rigorous English version intended for international dissemination. Mathematical formalization (EN) — rigorous English version intended for international dissemination. Version 5.3 is declared conceptually final: the theoretical structure is complete, coherent, and ready for future integration with applied physical models. Author: Andrea Toricelli Email: [email protected] This Work is supplemented by the Radial Emergent Metric, which provides the full saturating solution for the static, spherically symmetric case.