Entanglement, Locality, and Measurement from Coherent Sector Dynamics

Peter Nero

Published Jan 15, 2026• 0 citations

Abstract

Algebraic quantum field theory (AQFT) enforces relativistic locality at the level of observable algebras while allowing globally entangled states, but it does not explain why physically realized states are typically entangled, how entanglement propagates, or how measurement reduces entanglement without enabling superluminal signaling. We present an AQFT-compatible framework in which physically admissible states are restricted to those induced by coherent-sector dynamics in Modal Triplet Theory (MTT), characterized by bounded geometry, a uniform spectral gap, bounded coherent projectors, and disturbance–damping stability. Within this restricted state class, entanglement is interpreted as a global coherence constraint in configuration space, while microcausality, isotony, and the time-slice property remain exact on spacetime. Measurement is modeled as localized disturbance followed by stabilization into admissible basins, yielding partial disentanglement. Standard Bell/CHSH and temporal Bell (Leggett–Garg) violations are recovered without nonlocal influence, and entanglement spreading via mediated interactions is explained as causal propagation through common ancestors subject to finite-speed bounds. The framework unifies AQFT locality with the MTT analyses of measurement and Bell phenomena without modifying quantum field theory axioms.

DOI: 10.5281/zenodo.18261392

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