Schrödinger Equation Correction: From Probability Evolution to Envelope Interface Breathing

Starting from the kinetic energy definition of World Quantum Theory (WQT) and using the generalized de Broglie relation p = x·ℏ/λ as a bridge, this paper rigorously derives the kinetic energy operator, and combines it with the time evolution of the WQT wavefunction to obtain a corrected Schrödinger equation: text iℏ·∂ψ/∂t = [−ℏ²/(γ·m₀)·∇² + V + iℏ·b·2π·f_w + E·(2π/x)·(v/c)² − E]·ψ where γ = c/d is the intrinsic geometric parameter of WQT, and b = d/v is the spiral expansion rate. When the projection layer factor x = 2π, the velocity factor v = c, the intrinsic geometric parameter γ = 2, and the spiral expansion rate b = 0, the equation reduces to the standard Schrödinger equation. The standard Schrödinger equation thus acquires a geometric origin and reveals observable corrections in non-Earth projection layers. Keywords: Schrödinger equation correction, World Quantum Theory, generalized de Broglie relation, kinetic energy operator, projection layer