Structural Principle of Entanglement Core Framework

Structural Principle of Entanglement (PSE) – Version 3.7 (English Edition) This document presents a pregeometric reconstruction of fundamental physics based on a discrete prespatial structure called S and on a fundamental structural distance called DS(f). From this underlying structure, through processes of coherence and correlation, the following quantities emerge: the emergent distance DS(e), the continuous correlation C(e), the physical metric g, and the entire quantum phenomenology. In this version (3.7, English), the fundamental and emergent levels of the theory are fully clarified, establishing a precise ontological hierarchy: Fundamental level: prespatial structure S, fundamental distance DS(f), binary correlation C(f) Emergent level: continuous distance DS(e), continuous correlation C(e) Geometric level: physical distance d, metric g Phenomenological level: particles, fields, uncertainty, interference, decoherence The fundamental dynamics acts exclusively on DS(f) through the structural dynamics referred to as E + C. All emergent dynamics - geometric, quantum, and spectral - are projections of this fundamental evolution and do not possess independent ontological status. The document also introduces: a spectral formalization based on the emergent correlation operator C a structural reinterpretation of quantum phenomenology, including particles, fields, uncertainty, interference, and decoherence a set of conceptual equations linking the fundamental, emergent, and geometric levels (expressed in natural language in this description) a dedicated section on the experimental signatures of the PSE, including: structural uncertainty dependent on DSe entanglement in varying gravitational fields elastic gravitational lensing rotation curves determined by DSe non‑constant cosmic acceleration elastic gravitational waves structural imprinting in the cosmic microwave background Version 3.6 also includes a complete glossary of the fundamental concepts, supporting clarity and critical evaluation of the theory. The PSE offers a coherent, mathematically structured, and experimentally testable framework in which spacetime, gravity, quantum behaviour, and cosmological phenomena emerge from a deeper prespatial dynamics. Note: This version (3.7, English) is the final and complete edition of the 3.x series, corresponding exactly to version 3.6 (Italian). Scientific openness: This manuscript is offered to the scientific community as part of an ongoing theoretical investigation. Constructive feedback, technical comments, or requests for clarification are welcome and may be addressed to the author using the contact information provided in the document. Author: Andrea Toricelli Email: [email protected]