Beyond Dark Matter: A Two-Term Sourcing Equation for Gravity

This paper introduces a two-term sourcing equation for emergent gravity derived from a probability-geometry framework. The model combines a holographic density term with a spin-dependent angular momentum term to explain flat galaxy rotation curves, strong gravitational lensing, and the Bullet Cluster mass offset without requiring particle dark matter. Tested against 93 SPARC galaxies, it reaches 0.076 dex RMS accuracy, comparable to MOND, while also producing lensing predictions consistent with SLACS observations. The central claim is that the missing-mass phenomenon can be understood as the gravitational effect of spacetime probability structure rather than an unseen particulate component.