Emergent String Dynamics, so(8) Triality, and Singular Topological Dissipation in a 3D Superfluid Vacuum

Acoustic String Emergence: Relativistic string dynamics and tension emerge directly from quantized vortex filaments in the thin-core limit, with internal core rotation replacing compactified spatial dimensions. Discrete Spectral Lattice: The 861-node vacuum manifold corresponds to a vertex-transitive Johnson graph, where its exact structural spectral gap governs the emergent vector boson mass scale. Defect Geometry and Triality: Quark and baryonic defects are realized as induced subgraphs linked to the eight-dimensional orthogonal Lie algebra, using geometric triality to produce three fermion generations and color symmetry. Covariant Fractional Charges: Fractional electric charges arise from topological ribbon braid invariants, maintaining exact charge-reversal symmetry between matter and antimatter. Topological Reconnection and Arrow of Time: Particle decay proceeds through multi-stage vortex reconnections that shed independent gauge loops, while singular core collapse drives anomalous energy and helicity dissipation, providing a hydrodynamic foundation for parity violation and the arrow of time.