Topological Matter Conservation and Nonsingular Vortical Radiation in Superfluid Vacuum Dynamics

Topological Defect vs. Field Excitation: Matter particles are singular topological defects with zero-density cores that carry conserved winding numbers, whereas photons are smooth, nonsingular transverse field excitations where the background fluid density remains positive everywhere. Strict Matter Ledger Invariance: Emitting, propagating, or absorbing radiation creates no nodal defects, ensuring that the total topological matter count of the system is strictly conserved. Nonsingular Dipolar Vorticity: A photon carries distributed, equal, and opposite vorticity lobes that integrate to zero net circulation, producing finite, normalizable field energy without requiring a singular vortex filament. Dynamical Wave Equations: Identifying transverse fluid velocity with the magnetic vector potential and fluid acceleration with the electric field derives the Maxwell equations directly, locking the propagation speed to the intrinsic shear wave speed of the vacuum condensate. Massless Vector Boson Quantization: Spatial rotation of the transverse polarization plane yields the two circular helicity states of a spin-one particle, while canonical field quantization derives the linear energy-frequency relation.