Title: Karahan Framework — A Dynamical Torsion-Phase Field Model for Galactic Structure Formation and Star Formation without Dark Matter

Title:Karahan Framework — A Dynamical Torsion-Phase Field Model for Galactic Structure Formation and Star Formation without Dark Matter Subtitle:Version v121.7 — Complete Conceptual and Dynamical Framework with First Time-Dependent Spiral Resonance Simulation Abstract:We present the Karahan Framework, a nonlinear torsion-based effective field model proposed as an alternative to particle dark matter in galactic dynamics. The framework introduces a dynamically evolving torsion field coupled to a phase field, forming a self-organizing system capable of generating galactic structure across multiple scales. Within this approach, flat galactic rotation curves arise from gradients of an effective torsion field, while spiral morphology emerges through phase-locking and resonance dynamics. A first time-dependent numerical simulation (v121.7) demonstrates that initially disordered field configurations evolve into coherent spiral structures via local synchronization and global phase organization. Matter accumulation and star formation are interpreted as consequences of compressive, phase-coherent regions within the coupled field system. In this picture, stars form preferentially along dynamically evolving resonance channels, including spiral arm fronts and interference nodes, where matter is funneled and compressed by the underlying field dynamics. This framework proposes a unified qualitative interpretation in which kinematics, morphology, and stellar birth arise from torsion-phase field interactions rather than unseen mass components. It predicts observable signatures such as spiral arm drift, non-static pattern speeds, and small deviations from circular symmetry in black hole shadow observations. While the current implementation remains qualitative and lacks full hydrodynamic coupling, N-body dynamics, and large-scale observational calibration, it establishes a coherent and testable foundation for a field-based description of galactic structure and evolution.