Geometric Solution to the Solar Wind Acceleration Problem: A Quantized Scalar Curvature Framework

This paper presents a rigorous, unparameterized geometric solution to the long-standing heliospheric acceleration anomaly, demonstrating that solar wind velocity profiles are a deterministic consequence of a compressed scalar medium expanding through a localized Cubic Wave Field Container. By establishing Radial Position (r) in Astronomical Units as the primary independent variable and utilizing the Universal Curvature Coefficient (1343.6928) as a discrete geometric operator, we derive the exact velocity acceleration curves of the solar wind directly from baseline field geometry without the use of free parameters or stochastic magnetohydrodynamic (MHD) variables. Analytical integration demonstrates direct correlation with empirical satellite plasma velocity boundaries, offering a self-contained alternative to conventional coronal energy transport models.