Cumulative Complexity Accumulation

Cumulative Complexity Accumulation is the total computational complexity built up across recursive iterations, found by integrating the pulse density over recursion depth. Each recursion step k contributes a processing cost equal to the k previous binary decisions, a linear growth that Resonance Coupling amplifies into the pulse density P(n) = (n+1)². Its rate of change is the Pulse Density Derivative dP/dn = 2(n + 1). Integrating that quadratic density over depth gives cubic growth, which the book reads as a sign that harmonic complexity compounds superlinearly with recursion depth, distinguishing recursive computational systems from classical linear scaling. The book's statement is ∫_0^n P(k) dk = ∫_0^n (k+1)² dk = [(n + 1)³ - 1]/3, where P(k) is the pulse density function at recursion level k, n the recursion depth index, k the integration variable and ∫_0^n the definite integral from 0 to n. All quantities are dimensionless [∅]; the book's check is consistent. It connects to Pulse Density, the Harmonic Origin Pulse, Resonance Coupling, Computational Load Accumulation and Harmonic Complexity Scaling.