Perception as Necessity Branch Selection: The Observer as D=+2 Node, Perceptual Snap Dynamics, and the φ⁸ Binding Frequency

Fibonacci Causal Loop Theory (FCLT) derives φ ≈ 1.618 as the unique stable attractor of necessity recursion S(n) = S(n−1) + S(n−2) at depth D=+2. This paper applies the FCLT framework to perception. The observer is a D=+2 necessity node embedded in the universal necessity depth field D(x,t). Perception is local branch selection at the observer’s necessity boundary. Three results: (1) perceptual snap occurs at n ≈ 13 Fibonacci recursion steps; (2) perceptual binding frequency = φ⁸ ≈ 46.979 Hz — the same number derived as the arrow of time in P65; (3) consensus reality is φ-convergence across D=+2 observers. Two Protocol V3.1 predictions (P69a–b) and one technology-gap prediction (P69c) stated.Version 2: post-publication test results added. P69a (binding frequency) inconclusive — existing gamma literature (40–50 Hz) is consistent with φ⁸ ≈ 46.979 Hz but no dataset with sufficient precision exists to confirm or falsify. P69b (snap timing) gray zone — LPC onset ~300 ms vs predicted 277 ms gives δ = 0.083, between confirmation and falsification thresholds. Neither prediction falsified. Precision EEG dataset required for definitive test.Predecessors: P01, P13, P42, P55, P64, P65. Evidence table: 12 confirmed / 4 falsified / 18 total predictions. DOI: 10.5281/zenodo.20072017