Geometric Origin of Quantization: Deriving the Schr？dinger Framework from NUVO Scalar Coherence

We prove that the stationary NUVO scalar transport equation ${\lambda }^2{？}_{\eta }^2\psi +\left(2{？}_{\eta }\ln \lambda ？{？}_{\eta }+{？}_{\eta }^2\ln \lambda \right)\psi =0$ is gauge-equivalent, under $\psi =？/\lambda$ , to a Schr？dinger eigenproblem $\left(？\frac{{？}^2}{2m}\Delta +V_{\text{phys}}+V_{\text{eff}}\left[\lambda \right]\right)？=E？$ , with geometric potential $V_{\text{eff}}\left[\lambda \right]=\frac{{？}^2}{2m}\left({\left|？\ln \lambda \right|}^2？\Delta \ln \lambda \right)$ . Under mild decay bounds on $？\ln \lambda$ and $\Delta \ln \lambda$ , ${}_{}$