Phase Ambiguity

Phase Ambiguity is the uncertainty in a binary state transition that arises when a recursive system operates at the limit of its computational resolution, too shallow in recursive depth to resolve the phase; the book identifies it with quantum indeterminacy. In Part 5.2, quantum mechanics is presented as emerging from computational phase dynamics rather than from probabilistic postulates. Quantum indeterminacy becomes phase ambiguity at resolution limits. In the same reading, the Heisenberg uncertainty principle derives from a Minimum Recursive Resolution, R⥥ = ①⥂⧖⌂/①⥂⧗⌂ = 1/2 of the substrate; wave-particle duality is a regime change between coherent and localized Pulse configurations; entanglement comes from shared recursive coherence through common computational ancestry rather than nonlocal action; and decoherence is environmental recursive density forcing phase resolution rather than a collapse of the wavefunction. The book models the ambiguity as P(0→1) = 1/2 + δ × sin(ω×t + φ), where P(0→1) is the probability of a 0-to-1 transition, δ the size of the departure from an even chance, ω an angular frequency, t time and φ a phase. Phase Ambiguity connects to Quantum Indeterminacy, Temporal Phase Ambiguity, Decoherence Mechanisms, Recursive Depth and Binary State Flip.