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: 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. The standard Schrödinger equation is obtained when the following conditions are simultaneously satisfied: the projection layer factor x = 2π (Earth's projection layer), the intrinsic velocity factor v = c (the constant internal speed of the world quantum), the matching coefficient γ = 2 (from the low-velocity limit matching the classical kinetic energy), and the spiral expansion rate b = 0. 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