PSE – Technical Sheet: Particles and Fields

The PSE framework develops a fully structural description of physical phenomena, where space‑time, fields, particles and constants arise as geometric projections of a deeper prespatial correlation network. The theory replaces ontological entities with structural invariants defined by a fundamental reorganization operator 𝔇, which selects admissible modes of coherence through discrete internal operators (rigidity, symmetry, internal transformations). In the PSE, space‑time is not fundamental: it emerges from structural distance via the map Φ, compressing and projecting prespatial geometry. Coherence configurations generate both localized modes (particles) and diffuse modes (fields), while interactions correspond to structural variations of internal invariants rather than dynamical forces. Key physical quantities—mass, energy, spin, charge, c, ℏ, probability—are reinterpreted as emergent geometric effects: mass as minimum rigidity, energy as total rigidity, c as the upper bound of admissible structural variation, ℏ as minimum granularity of admissible modes, probability as structural compatibility between system and detector, entanglement as structural co‑immersion, decoherence as loss of compatibility. The PSE provides a unified structural explanation for quantum statistics, uncertainty, interactions, causal structure, and emergent constants. It also clarifies the limits of the emergent description: space‑time cannot represent co‑immersion, internal operators, structural compatibility, or prespatial geometry. These appear only indirectly as amplitudes, probabilities, apparent collapse, non‑locality and dynamical interactions. This document presents the complete A–P formulation of the PSE, detailing the structural foundations, emergent phenomena, and the geometric origin of the laws of physics. Andrea ToricelliWith the help of Artificial Intelligence [email protected]