ATPEW V9 "Golden": A Primordial Energy Wave Vortex Model for Galactic Dynamics — SPARC Tests, MOND Comparison, and the Milky Way Rotation Decline

We present ATPEW V9 “Golden”, an advanced implementation of the Primordial Energy Wave framework applied to galactic dynamics. Unlike models based on static dark matter halos or geometric modifications of gravity, ATPEW introduces a structured energy-wave vortex coupled to the baryonic mass distribution as the physical source of the additional orbital dynamics observed in galaxies. The model separates galactic behavior into two dynamical regimes: an inner vortex, correlated with local baryonic density and responsible for the initial rise of rotation curves, and a halo vortex, linked to total baryonic mass and sustaining outer rotation velocities. A dynamic transition radius R0R_0R0 emerges from global structural properties. Version V9 introduces an energy regulation mechanism (BRAKE mode) that prevents velocity overshoot in high-mass, high-compactness galaxies. The model is tested across the full SPARC rotation curve catalog, spanning low surface brightness galaxies, intermediate spirals, and massive systems. ATPEW V9 shows a systematic reduction of RMS residuals compared to MOND, particularly in massive galaxies where alternative models typically struggle. A distinctive prediction of the model is a signed vortex contribution, capable of producing either acceleration or braking depending on the local density regime. A key validation case is the Milky Way: recent observations indicate a decline in rotation speed beyond ~15–20 kpc. ATPEW naturally reproduces this decrease as a consequence of the structural weakening of the halo vortex at large radii, unlike models that enforce an asymptotic flat rotation curve. Finally, the lenticular geometry of the vortex provides a dynamical mechanism for vertical disk confinement, contributing to the long-term stability and thin structure of galactic disks. ATPEW V9 therefore offers a unified phenomenological framework linking baryonic structure, orbital dynamics, and galactic morphology, while remaining directly falsifiable through large-scale kinematic surveys.