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:…