The Karahan Framework v88.1: A Consistent Torsion-Inheritance Model Linking Cosmology, Black Holes, and Accretion Dynamics

We present the Karahan Framework v88.1, a mathematically consistent gravitational model combining nonlinear torsion dynamics with an inheritance-based cosmological origin. The framework extends teleparallel gravity through a minimal formulation in which torsion is treated as a composite field consisting of local and inherited contributions. In this picture, the universe evolves from a rotating Kerr-like parent configuration, transferring torsion, spin, and geometric structure into the present cosmological state. The torsion sector is governed by a dynamical balance between large-scale injection from the parent structure and distributed absorption by compact objects, leading to a well-defined effective torsion amplitude. This effective torsion remains small at late times while becoming relevant in strong-gravity environments. The model preserves the General Relativity limit and maintains consistency with late-time cosmological observations. Observable consequences arise through black hole shadow deformation and modified accretion dynamics, both directly linked to the effective torsion parameter. By establishing a consistent connection between cosmology, compact objects, and matter flow, the Karahan Framework provides a minimal and testable pathway toward identifying torsion-based extensions of gravitational physics.