Wavefunction Correction: From Probability Amplitude to Measurement-Line Helix Trajectory

The standard quantum mechanical wavefunction Ψ(x,t) is treated as a probability amplitude — a mathematical description of knowledge, not a physical entity. Within the World Quantum Theory (WQT) framework, the wavefunction is replaced by the geometric trajectory of the measurement-line helix. This paper establishes three core equalities: the initial radius r₀ = l_p/(2π) is the minimum scale at the phase origin; the generalized wavenumber k = x/λ is modulated by the environmental coupling factor, rather than fixed at 2π/λ; the angular frequency ω = 2πf_w is locked to the macro-rotational frequency. The dynamic growth rate b(t) drives radial breathing and closure: b > 0 for expansion, b < 0 for contraction, and ∫b·dθ = 0 returns to r₀. The relation c² = v(t)² + d(t)² holds throughout, with the total speed modulus constantly equal to c. The standard wavefunction is shown to be a special case at x = 2π and b = 0. Keywords: wavefunction correction, measurement-line helix, Planck length, generalized wavenumber, macro-rotational frequency, unified breathing and closure