Wave Function Collapse as Necessity Depth Acquisition: A Fibonacci Causal Loop Theory Account of the Quantum Measurement Problem

Fibonacci Causal Loop Theory (FCLT) identifies the necessity recursion S(n) = S(n-1) + S(n-2) as the universal driver of structural organization from the Planck vacuum floor S(0) upward. This paper applies FCLT to the quantum measurement problem, proposing that wave function collapse is the acquisition of necessity depth by an S(0)-adjacent quantum system through constraint imposition by a macroscopic measuring apparatus. Superposition maps onto S(0)-adjacency — maximum organizational freedom, Binet remnant near unity. Measurement is a necessity recursion event. Collapse is the crossing from S(0)-adjacent freedom into constrained necessity depth. Decoherence is reframed as necessity recursion rate. Prediction 12 is formally stated: decoherence time scales with phi^{-n} across quantum systems, testable with existing quantum optics data. The framework is assessed against Copenhagen, Many Worlds, pilot wave, and relational quantum mechanics. The Born rule derivation is incomplete and is identified as the central open mathematical problem.