Subject: A Tensor-Based Phenomenological Resolution of Cosmological Singularities and the Dark Sector via Central Torsion Bypass and Ring-Edge Recombination. + Pythen Code

Asil Karahan 06. 04. 2026 SCIENTIFIC EXPOSÉ: THE KARAHAN METRIC (V6. 2 - RING-EDGE DYNAMICS) Subject: A Tensor-Based Phenomenological Resolution of Cosmological Singularities and the Dark Sector via Central Torsion Bypass and Ring-Edge Recombination. Abstract This paper presents the Karahan Metric as a geometric realignment of modern cosmology, derived from the Einstein-Cartan action and calibrated to observational data. By modeling the Lagrange density at the Kerr-Bounce of a rotating parent universe, we establish the Kerr-Ring Singularity not as a chaotic melting pot, but as a precise geometric sorting mechanism. We propose that 95% of the total energy flux passes undisturbed through the open center of the ring singularity (Central Axial Flow) as a macro-scale torsion field. Only 5% of the energy interacts with the extreme shear forces at the outer physical boundary of the Kerr-Ring (Ring-Edge Flow), condensing into visible matter. This edge-derived matter inherently inherits the angular momentum of the parent universe, providing a unified explanation for both the dark sector ratio and cosmic spin. 1. The Origin: Ring-Edge Recombination & Central Bypass The Karahan Metric completely eliminates the Big Bang point-singularity paradigm and replaces it with a dynamic, permeable Kerr-Ring Singularity. The crucial mechanism driving the universe's evolution is the spatial separation of energy flows at the cosmological threshold: The Undisturbed Core (95% Bypass): The vast majority of the incoming energy flux avoids the physical singularity entirely, passing straight through the expansive open center of the Kerr-Ring. This generates a massive, pure Torsion Field () that enters the new universe as pure rotational inertia. This undisturbed flux acts as the direct geometric equivalent to Dark Matter and Dark Energy. The Recombination Edge (5% Matter Generation): Visible (baryonic) matter is exclusively a byproduct of extreme friction and frame-dragging. Energy that grazes the outer edge of the Kerr-Ring experiences infinite shear forces, forcefully condensing into visible matter. 2. Theoretical Advantages of the Edge-Recombination Paradigm Shifting the genesis of visible matter from a central point to the highly active perimeter of a rotating ring singularity resolves several of the most persistent anomalies in standard cosmology: I. Geometric Resolution of the 95/5 Dark Sector Ratio Standard cosmology struggles to explain why the universe consists of roughly 95% dark sector components and only 5% visible matter. The Kerr-Ring geometry naturally dictates this ratio. The vast open area of the central aperture allows the overwhelming majority of energy (95%) to bypass as a torsion field. Conversely, the narrow physical boundary of the ring restricts matter conversion to a mere fraction (5%). The shape of the ring inherently functions as a geometric filter. II. Physical Catalyst for Matter Generation (Frame-Dragging) Matter does not emerge spontaneously from a quiet vacuum. At the extreme perimeter of a rotating Kerr-Ring, infinite shear forces and severe frame-dragging occur—a state where spacetime itself is violently pulled along. The Karahan Metric posits that energy grazing this boundary is physically "ground" and subjected to immense mechanical pressure, acting as the catalyst for baryonic condensation. III. Circumvention of the Singularity Paradox The most significant mathematical hurdle in theoretical physics is the classical singularity—a point of infinite density where all equations break down. By modeling the primary energy flow (95%) as passing cleanly through the empty center of the ring, the model entirely avoids this mathematical collapse. The cosmic bottleneck remains open, allowing for a continuous, calculable flow of energy. IV. Natural Inheritance of Cosmic Spin Baryonic matter forming at the violently rotating edge of the singularity is ejected into the expanding universe akin to sparks flying off a grinding wheel. This mechanism naturally endows the nascent matter with immense initial angular momentum. It elegantly explains the high rotational velocities of early galaxies and the pervasive spin of cosmic structures without invoking complex secondary forces or localized dark matter halos. 3. Torsion Bypass Calibration and Dynamics To mathematically match the observed cosmic matter density, the model utilizes the geometric cross-section of the Kerr-valve. Because matter is generated at the spinning edge, the "missing mass" (Dark Matter) observed in galactic rotation curves is simply a direct manifestation of the 95% Central Axial Torsion Flow. This macro-torsion field exerts rotational inertia (via the Lense-Thirring effect) on the 5% visible matter swimming within it, seamlessly unifying the formation of matter with the macroscopic mechanics of the cosmos.