Local Baryon-Triggered Geometric Response: A Compactness-Coupled Teleparallel Ansatz for Galactic Dynamics and Cosmology

We present a phenomenological and theoretical framework in which the observed discrepancies in galactic dynamics are explained without invoking non-baryonic dark matter. Instead, we propose that baryonic matter acts as a local source term for a geometric torsion response, whose amplitude is governed by a dimensionless compactness measure.A systematic model evolution (v199 → v205 → v208 → v209hybrid → v209prod) demonstrates that enforcing structural constraints and removing excess degrees of freedom leads to a robust and non-overfitting model. Cross-validation and full-sample benchmarks confirm that the optimized formulation achieves competitive or superior predictive performance relative to standard alternatives.We further introduce a teleparallel action ansatz in which torsion is locally triggered by baryonic compactness. By utilizing the covariant trace of the energy-momentum tensor T as a trigger, the framework ensures full Lorentz invariance while recovering standard gravity in diffuse cosmic regions. This theoretical embedding shows that strong geometric responses naturally emerge at baryonic density gradients, providing a unified geometric interpretation for galactic rotation curves, cluster lensing alignment, and reduced weak lensing in voids.