Geometric Interpretation of the MIND Framework: Spacetime as a Torsional Elastic Medium

This work presents a geometric interpretation of the MIND (Momentum in Inertial and Non-Inertial Dynamics) framework, proposing that a wide class of astrophysical and cosmological phenomena traditionally attributed to dark matter, dark energy, and spacetime singularities can be understood instead as consequences of momentum-driven geometric response of spacetime. The framework emphasizes the physical role of organized momentum density and the often-underexplored contribution of the energy–momentum flux components (T⁰ᵢ) in rotating and non-inertial systems. Within this interpretation, spacetime behaves as a torsion-responsive geometric medium, where frame dragging, rotational coherence, and momentum saturation lead naturally to: • Flat galactic rotation curves without invoking dark matter, • Saturated horizon structures (Atlas Cores, formerly known as black holes) without singularities, • Apparent accelerated cosmic expansion without the need for dark energy. Rather than modifying Einstein’s field equations, MIND reinterprets their solutions by identifying momentum-geometry coherence thresholds that govern the transition between weak, saturated, and sub-threshold regimes of spacetime response. This document serves as a unifying geometric foundation for previous MIND results across galactic dynamics, compact objects, and cosmology, and is intended as a conceptual and physical framework to guide further analytical, numerical, and observational investigations.