The Karahan Cosmic Vortex Model (Part 2.1): Mathematical Framework and Torsional Dynamics

This submission provides the formal mathematical framework and physical validation for the Karahan Cosmic Vortex Model. Building upon the foundational concepts introduced in Part I, this paper focuses on the integration of Kerr-geometry-induced torsion as a replacement for the cosmological constant (Lambda) and a solution to the current "Crisis in Cosmology. " Core Theoretical Components: 1. Modified Field Equations: The model extends the Einstein Field Equations by incorporating a Kerr-Flux Tensor (TₘuₙuKerrFlux). This represents the angular momentum inherited from a "parent" Kerr singularity during the cosmic bounce. The fundamental equation is: Rₘuₙu - 1/2 R gₘuₙu + Lambda gₘuₙu = 8pi G / c⁴ * (TₘuₙuMatter + TₘuₙuKerrFlux). 2. Dynamic Spin-Down Function j (t): A central feature of this model is the introduction of a time-dependent torsion parameter j (t). This variable accounts for the decay of initial cosmic spin over 13. 8 billion years, providing a geometric explanation for the observed expansion of space. 3. Resolution of the Hubble Tension: The "j-shift" (the evolution of torsion over cosmic time) naturally resolves the discrepancy between early-universe (CMB) and late-universe (Local SNIa/DESI 2026) measurements of the Hubble constant (H0). 4. Observational Consistency: The model aligns with 2026 data regarding Galaxy Spin Alignment and matter clustering (S8), suggesting that large-scale structures are influenced by the residual "Vortex Flow" of the early universe. Conclusion: The Karahan Model Part II demonstrates that by treating spacetime as a torsional manifold (Einstein-Cartan framework), we can eliminate the need for "placeholder physics" such as Dark Energy. It offers a mechanically closed and causally linked system that explains the universe's evolution through inherited rotation.