Foundations of Vorton Hydrodynamics

Solenoidal Kinematics: Modeling localized vorticity as dipolar loops rather than bare points eliminates unphysical monopoles and proves that exterior fields cancel along closed loops, locking the effective vortex core size directly to filament spacing. Attractor Reduction: Balancing axial stretching against viscous diffusion locks the core to the smallest dissipative eddies. Restricting active vorticity to a one-dimensional filament skeleton rather than a space-filling volume drastically reduces the Navier-Stokes global attractor dimension. Irreversible Reconnection: Filament collisions trigger non-invertible topological surgeries that dissipate kinetic energy anomalously and destroy phase-space volume, guaranteeing that reconnections terminate in finite time. Cosmic Freeze-Out: Cosmic expansion arrests filament collapse and dilutes interaction rates, freezing the surviving structures into ballistic dipoles that act as cold dark matter alongside topologically locked solitary knots. Yang-Mills Mass Gap: Dual fluid-gauge mapping evades scaling collapse through balanced rotation. Color-neutral Borromean ring configurations enforce strict geometric tube packing, establishing a strictly positive classical mass gap. Vacuum Lattice: The relaxed ground state crystallizes into an 861-node network with an exact discrete spectral gap and modular number-theoretic rigidity, preventing fractional defects and regularizing ultraviolet infinities.