Recursive Potential

The Recursive Potential is the potential energy that accumulated computational complexity creates in the substrate, entering a modified Schrödinger equation as the potential in which a wave function evolves. In the book's treatment of stable forms, energy levels inherit the quadratic Harmonic Origin Pulse scaling P(n) = (n + 1)²: E_n = ħω⥂ × (n + 1)². Quantum evolution in the recursive substrate follows iħ ∂Ψ/∂t = [−ħ²∇²/(2m_eff) + Vℜ(x)] Ψ, in which the recursive complexity potential Vℜ(x), a function of position, replaces the ordinary potential and the mass is an effective mass that depends on recursive density. The book gives Vℜ(x) the dimensions of energy, [𝕄·𝕃²·𝕋⁻²], and states it as a self-consistent potential, Vℜ(x) = V_0 × sum_n (n+1)² × |Ψ_n(x)|², incorporating quadratic complexity scaling. It connects to Effective Mass, Harmonic Origin Pulse, Recursive Potential Energy, Pulse Density and Recursive Capacity Growth.