Phase 4: Weak-Field Relativistic Consistency of an Entropic Gravity Framework

This upload completes Phase 4 of an entropy-based emergent gravity framework. The purpose of this phase is to demonstrate explicit consistency with linearized General Relativity in the weak-field, non-relativistic regime. The model is based on conservation of total entropy and introduces an emergent holographic information density (rho_Q) that modifies gravitational dynamics without invoking particle dark matter. Key results shown in this release: • Explicit first-order expansion of the entropic action for g