On the Operational Origin of Bell Correlations

Bell inequalities are commonly presented as abstract constraints derived from assumptions of locality and realism, while their violation in quantum mechanics is often regarded as a profound mystery. In this work I present an operational reconstruction of Bell correlations using a constraint-based framework in which all assumptions are made explicit and executable. By separating locality, factorization, signaling, contextuality, and nonlocal correlation into independently controllable components, I demonstrate numerically that Bell inequality violation arises if and only if joint probability factorizability is relaxed. Quantum correlations emerge as extremal, geometrically constrained solutions within a broader space of admissible correlations. No appeal is made to wavefunction collapse or Hilbert space axioms. The results clarify the precise content of Bell’s theorem and suggest that quantum nonlocality is best understood as a global consistency constraint rather than a dynamical influence.