Reinterpreting Bell's Theorem via Informational Constraint

This paper proposes a reinterpretation of quantum entanglement through the lens of informational constraint. The model reproduces the quantum violations of Bell inequalities while preserving both reality (in the sense that systems possess definite properties prior to measurement) and locality. We begin with a simple but revealing observation: the statistical behavior of single photons passed through two polarizing filters—set at varying angles—mirrors the correlation curve observed in Bell-test experiments with entangled photon pairs. We then construct a deterministic simulation based on vector projections to show that these quantum correlations can arise from purely local and deterministic mechanisms, provided the assumption of independent hidden variables is replaced by a single shared constraint. By reframing entanglement as a manifestation of shared informational structure—one that limits the allowable combinations of outcomes across measurement settings—we show that the resulting correlations are observationally indistinguishable from those of quantum entanglement, despite arising from a fully local and deterministic mechanism.