Unified Foundations of Non-Hamiltonian Vorton Dynamics and the Heegner–Freed Manifold Framework

Solenoidal Vorton Kinematics and Filament Screening: Individual vortons preserve divergence-free vorticity through non-local dipolar return tails that cancel completely outside the filament contour through destructive interference. The hydrodynamic core radius locks directly to the inter-node spacing and matches the Kolmogorov dissipation scale in turbulent flows, collapsing the active Navier-Stokes attractor dimension from three-dimensional volumetric scaling down to a one-dimensional filament skeleton. Lundquist-Independent Fast Magnetic Reconnection: Convective strain locks magnetic moments directly to fluid circulation. Antiparallel flux tubes experience strong transverse attraction that drives finite-time collapse against hydrodynamic added-mass inertia, producing a normalized reconnection rate of order zero point one that is strictly independent of the Lundquist number and resistivity. Geometric Strain Depletion and Regularity: An isolated vorton induces zero self-stretching at its center. Mutual strain between approaching antiparallel filaments rotates the principal extensional axis perpendicular to the vorticity direction, causing planar axial stretching to vanish. Apex curvature generates axial compression in the near-field, bounding strain growth sub-linearly and preventing finite-time Beale-Kato-Majda blowup. Non-Hamiltonian Kinetic Theory and the Fluid H-Theorem: Topological reconnections act as non-invertible surgeries that incur an anomalous kinetic energy deficit and contract phase-space volume, breaking detailed balance. This yields a strictly non-increasing entropy functional and establishes a fluid thermodynamic arrow of time from inviscid topological surgeries alone, steering the system toward an invariant survivor manifold of ballistic dipoles and knotted solitary structures.