Instability of Vorton Collapse, Cosmic Inflation as a First-Order Turbulent Transition, and the Quasi-2D Baryonic Resolution of Dark Matter and Dark Energy

Cosmic inflation, flat galactic rotation curves, and late-time cosmic acceleration emerge as unified stages of a single hydrodynamic and geometric evolution: Inflation from Dimensional Rupture: A purely two-dimensional vortex collapse cannot produce vortex stretching or turbulent amplification, inevitably terminating in a dead singularity. At the Planck scale, quantum uncertainty arrests spatial contraction and saturates in-plane momentum, breaching the compact boundary of the third dimension. Activating three-dimensional vortex stretching causes an explosive increase in circulation, requiring exponential metric expansion to keep mutual vortex interaction energies finite. Baryonic Resolution of Dark Matter: In rotationally supported disc galaxies, vertical gravitational modes decay exponentially with radial distance, collapsing the effective gravitational potential into a planar, inverse-linear force law. Matching this field across the central bulge naturally generates flat rotation curves, derives the quartic Baryonic Tully-Fisher relation, and fixes the universal galactic acceleration threshold from observed baryonic surface density alone, eliminating the need for invisible dark matter particles. Geometric Origin of Dark Energy: Late-time cosmic acceleration reflects the macroscopic geometric relaxation of the expanding universe as it smooths out primordial planar anisotropy into a fully isotropic three-dimensional metric. Gravitationally bound galaxies decouple from this background expansion, topologically pinning their planar geometry and preserving their flat rotation plateaus.