Pulse Frequency Deceleration

Pulse Frequency Deceleration is the fall in pulse frequency with recursion depth, as the square of (n + 1), that follows from the accumulation of computational load in deeper substrate layers. It is the frequency side of the book's quadratic time scaling. Computational load grows as L_n = n(n+1)/2, processing time amplified through resonance becomes T_n ≈ T_0 × (n+1)², and correspondingly the pulse frequency drops by the same factor from its initial value. Together with the growing Information Processing Delay, this progressive deceleration drives a system toward the Collapse Threshold, and it is part of what the book calls Temporal Drag. The tick itself does not change: ν_n is the rate of a depth-n cycle that spans (n + 1)² fixed Planck ticks. The formal statement is ν_n = ν_0/(n + 1)² = √(𝒞→⁵/(ħ*G))/(n + 1)², where ν_n is the pulse frequency at recursion depth n, ν_0 the initial pulse frequency, 𝒞→ the speed of light, ħ the reduced Planck constant, G the gravitational constant and n the recursion depth index. Dimensions from the book's Where-list: ν_n and ν_0 [𝕋⁻¹], 𝒞→ [𝕃·𝕋⁻¹], ħ [𝕄·𝕃²·𝕋⁻¹], G [𝕄⁻¹·𝕃³·𝕋⁻²], n [∅]. It connects to the Prime Pulse, Recursive Pulse Cycle Time, Information Processing Delay, Collapse Threshold, Temporal Drag and Computational Load Accumulation.