The Modified Interfacial Gravity: Unifying CDM, MOG, and MOND

Abstract

The paper posits the modified interfacial gravity (MIG) as the modified gravity in the interfacial region between homogeneous baryonic matter region and homogeneous dark matter region. The MIG model contains both dark matter and modified gravity to unify the CDM (Cold Dark Matter) model, MOG (Modified Gravity), and MOND (Modified Newtonian Dynamics). In MIG, the interfacial repulsive Yukawa force in the interfacial region to separate baryonic matter region and dark matter region is equivalent to the repulsive Yukawa force in outer galaxy in MOG.The modified interfacial gravity is interfacial gravity interacting with the interfacial repulsive Yukawa force. The modified interfacial gravity emerges in the interfacial region between dark matter region and baryonic matter region only when the homogeneous surface density is above the critical homogeneous surface density in both dark matter region and baryonic matter region.