Emergent Quantum Structure from Finite Measurement and Relational Constraints

This manuscript examines selected quantum-theoretic structures within the Finite Relational Closure Framework (FRCF). Starting from finite measurement contexts, admissible relational assignments, and measurement-induced equivalence classes, it develops a structural account of interference, complex-amplitude representation, probability, distinguishability, entanglement-like correlations, Bell-type contextual structure, no-signaling, apparent collapse, and the squared-modulus rule. The central proposal is that interference arises when relationally distinct assignments remain indistinguishable under a finite measurement and must be aggregated before observable intensities are assigned. Under the assumptions…