Counter-Rotating Vortex Geometry and Energy Condensation: A Unified Model of Vortex Dynamics, Zero-Point Energy, and Cosmological Interactions

This work presents a unified theoretical framework examining the geometric configuration formed by counter-rotating vortex structures and its implications for energy concentration, matter density formation, symmetry breaking, and cosmological phenomena. The model considers a four-arm rotational flow pattern—parametrized through the ancient Mongolian swastika geometry—that converges toward a central region where energy density increases as radial distance decreases. Within this framework, the central region represents a point at which energy density approaches a maximum value, triggering a symmetry-breaking transition that results in the emergence of matter density. The model further proposes that the divergence of energy density predicted by continuous field theory is naturally regularized by a finite physical scale associated with the vortex geometry, providing a natural cutoff mechanism at the Planck scale. By combining Navier-Stokes and Einstein field equations with an effective field formulation, we investigate the singular behavior and energy density distribution at the central point. Numerical simulations (Python) reveal logarithmic spiral flow patterns and concentrated energy distribution consistent with r^{-2} decay. The model is tested for consistency with counter-rotating vortex phenomena in plasma physics (Bailung et al., 2020; Choudhary et al., 2023), cosmic superconducting vortons (Gara et al., 2023), CMB birefringence measurements (Eskilt & Komatsu, 2022; Fujita et al., 2025), and metamaterial research (Shen et al., 2023). Although phenomenological in nature, the framework provides a unified geometric interpretation linking energy density concentration, matter formation, rotational field structures, and potential foundations for a unified field theory.