Measurement Conditioning and Apparent Collapse in the Finite Relational Closure Framework

This manuscript examines measurement update and the appearance of wave function collapse within the Finite Relational Closure Framework (FRCF). The central proposal is that the predictive role usually associated with collapse can be represented as conditioning on a finite recorded outcome, rather than as a physical reduction of an underlying state. For a measurement context C, admissible relational assignments form a constrained set Σ(C), and a finite measurement map partitions this set into outcome classes. When an outcome is recorded, subsequent predictions are made over the conditioned admissible domain compatible with that outcome. In this sense, measurement update is represented as domain restriction…