The Karahan Framework v88.2: A Consistent and Testable Torsion-Inheritance Model for Cosmology, Black Holes, and Accretion

We present the Karahan Framework v88.2, a mathematically consistent and observationally testable model that combines 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 composed 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. At the cosmological level, the model modifies the Friedmann equation in the form E^2 - α E^4 = X(z), where E(z)=H(z)/H_0 and X(z) encodes the standard matter and radiation components. The requirement 1 - 4α X(z) ≥ 0 imposes a fundamental theoretical constraint, allowing direct bounds on the torsion parameter α from observational data. The framework preserves the General Relativity limit at late times while predicting measurable deviations in strong-gravity environments. Observable consequences arise through black hole shadow deformation and modified accretion dynamics, both consistently linked to the effective torsion parameter. By providing a unified and internally consistent description across cosmology, compact objects, and matter flow, the Karahan Framework offers a minimal and falsifiable pathway toward identifying torsion-based extensions of gravitational physics.