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. The critical homogeneous surface density is derived from the acceleration constant a0 from MOND. The four separate regions in the galaxy structure in MIG are the core (inner) baryonic matter galaxy with the Newtonian gravity, the interfacial (outer) baryonic matter galaxy with the modified interfacial gravity, the interfacial (inner) external dark matter halo with the modified interfacial gravity, and the core (outer) external dark matter halo with the Newtonian gravity. Dark matter in the external dark matter halo is cold dark matter without electromagnetism as in CDM. CDM and MIG are identical during the very early universe below the critical homogeneous surface density and before the emergence of the modified interfacial gravity. After the emergence of the modified interfacial gravityby dense giant molecular clouds during the early universe, MOND, MOG, and MIG are identical for baryonic matter galaxy structure. MIG explains galaxy evolution, globular clusters, dwarf galaxy plane, dark matter halo in galaxy cluster, the rotation velocities, and the failure to detect directly dark matter on earth.