The Axial Vortex as a Geometric Particle Factory: From Topological Stability to Matter Creation and Coherent Jets

We present a unified geometric mechanism for the creation of fermions and bosons from an axial vortex solution in noncommutative spectral geometry. Building on the fundamental identification of gauge fields with spacetime contorsion, and the previously established sphere-torus correspondence for bosons and fermions, we demonstrate that the axial vortex acts as a primary source of matter, transformingits stored geometric energy into real particles. The bosonic component is generated via parametric resonance from coherent oscillations of the vortex core, a process inherently linked to its spherical (S2) topology. The fermionic component arises from the spectral flow of chiral zero modes confined to a torus (T2), a mechanism that naturally produces a particle-antiparticle asymmetry. We further show that when the vortex inflates to its Schwarzschild radius due to gravitational coupling, the system becomes a high-finesse geometric laser cavity. The photon sphere actsas an output coupler, and the helical magnetic field of the vortex serves as an undulator, enabling a coherent, pulsed energy release. This model yields a two-component jet structure with unique observational signatures: a correlation between jet composition and vortex age, predictable neutrino fluxes, and distinct polarization patterns in gamma-ray bursts and active galactic nuclei. The entire process is parametrized by the electroweak scale and Planck’s constant, both of which are derived quantities in our geometric framework, thus providing a fundamental link between quantum geometry and observable astrophysical phenomena.