Frame Buffer Depth

Frame Buffer Depth is the number of pulse cycles over which a recursive quantum memory must keep its state coherent, set by the book at 1000 temporal steps. Recursive computation needs memory: state information has to survive across many processing cycles so that later steps can use earlier ones. The book specifies this through two temporal persistence requirements. The Memory Depth Requirement fixes the span at 1000 frames. The Persistence Fidelity Condition requires the quantum state to overlap with itself over that span at least at a fidelity threshold, |⟨ψ(t)|ψ(t+τ)⟩|² ≥ F𝓜, with F𝓜 = 0.95 ± 0.02 and τ ≤ N𝓕 × t⥂. The current definition also ties it to the Cosmic Time Relation T① = 2 × ①⥂⧖ × N⟳. The formal statement is N𝓕 = 1000, where N𝓕 is the required memory depth in temporal steps; in the fidelity condition ψ(t) is the quantum state at time t, τ the time interval and t⥂ the substrate pulse timing. Dimensions: N𝓕, F𝓜, ψ [∅]; t, τ [𝕋]; the book's checks are consistent. It connects to the Memory Depth Requirement, Persistence Fidelity Condition, Operational Coherence Time, Coherence Factor and Binary Frame Quantization.