The Geometric Vorticity Effect (GVE): A Unified Framework for Black Holes, Big Bang Dynamics, and Matter–Antimatter Asymmetry with Complete Mathematical Consistency Analysis**

One Key to Three Cosmic MysteriesThe Geometric Vorticity Effect (GVE) offers a unifying theoretical framework that connects three of the most enduring puzzles in modern physics — black hole dynamics, the primordial expansion of the Big Bang, and the origin of matter (baryogenesis) — through a single mechanism: spacetime vorticity coupling, formulated within the Einstein–Aether framework. At its core lie two complementary interaction terms: a parity-even coupling, which channels positive vorticity into extreme gravitational compression (black holes as “Venturi-in”), and a parity-odd term, which reverses sign to trigger violent cosmic expansion (the Big Bang as “Venturi-out”). This dual symmetry allows phenomena that appear to be opposites to emerge as two sides of the same physical process. Mathematical robustness is ensured by a full hyperbolicity analysis (characteristic speeds ≤ c), kinetic stability (all eigenvalues positive), and effective field theory validity up to strong-coupling scales of order 10¹⁶ GeV. Observationally, applying GVE to galaxies such as NGC 4261 reveals stratified structures and systematic 2–5% deviations from General Relativity, while remaining fully consistent with the tightest post-Newtonian limits (|γ_PPN − 1| ≲ 10⁻⁴). The result is a unified model that not only survives the most rigorous theoretical tests but also makes measurable predictions — opening a new pathway toward understanding the hidden mechanisms shaping our Universe.