Bell-Inequality-Inspired Semantic Validation in SPVU: From Quantum Correlations to the MetaBell Operator

Abstract

We introduce a formal semantic Bell inequality for multi-agent validation systems and show that the MetaBell operator Ψ, deployed in the PoISV consensus protocol, functions as a rigorous Bell witness for genuine independent understanding. We derive Ψ ≈ 1 − |S̃|/(2√2), connecting Ψ to the Tsirelson bound and replacing the ad-hoc threshold with a data-driven calibrated threshold Ψ*. We further define a Bell-augmented SPVU goal state, an Immutable Incident Log satisfying EU AI Act Art. 12/17/19, a zero-knowledge proof of MetaBell compliance via Nexus zkVM, a Svetlichny-type k≥3 group extension, and the Semantic Bell Test Corpus (SBTC) for empirical validation. DOI: 10.5281/zenodo.19656679