The Karahan Framework v115 presents a unified torsion-based approach to gravitational dynamics that eliminates the need for particle dark matter by introducing a dynamical torsion field sourced by rotating compact objects. Building on previous iterations, this version establishes a closed theoretical structure in which black holes act as localized torsion injectors, while spacetime torsion itself serves as the physical medium transporting these perturbations over finite distances. The torsion field is described by an effective Klein–Gordon-type equation of the form: Box T + mT² T = SBH, where the source term is determined by spin-dependent torsion shells localized near the horizon scale. A key result of this work is the derivation of the torsion coherence length LT and corresponding mass scale mT as emergent quantities, rather than free parameters. Specifically, the coherence length depends on the Schwarzschild radius, inherited spin, and a universal energy-partition function f (J), which governs the ratio between visible matter and a hidden bypass sector. This establishes a direct causal chain linking compact-object physics, spin inheritance, energy partition, and galactic-scale dynamics. The resulting effective gravitational behavior reproduces flat galaxy rotation curves through a resonance-coupled torsion field, without invoking non-baryonic dark matter components. The predictive power of the framework critically depends on the universality of the spin-partition function f (J), which simultaneously controls matter formation, torsion propagation, and large-scale gravitational effects. This places the theory in a testable regime, where observational constraints can validate or falsify the proposed mechanism.
Asil Karahan (Sun,) studied this question.