Reinterpreting Bell's Inequality: Eliminating Digitization with Deterministic Correlations via Malus's Law

This paper identifies and addresses a fundamental flaw in Bell’s Inequality: the digitization of inherently continuous polarization states into binary outcomes. This simplification imposes a false ceiling on observed correlations, limiting them to ( S = 2 ) and obscuring the deterministic origins of quantum phenomena. By reformulating Bell’s framework using Malus’s Law, this work restores the full resolution of polarization states, deriving continuous correlations that match quantum mechanical predictions, including ( S = 2√2 ). This reinterpretation demonstrates that quantum correlations arise naturally from deterministic causality, challenging the necessity of probabilistic or non-local interpretations and offering a unified perspective on classical and quantum frameworks.