The MOND Limit of the Inverse Square Law

Abstract This paper attempts to give a theoretical foundation for the Modified Newtonian Dynamics equations developed by M. Milgrom Ref.1. It will show that there is a cross sectional limit, below which 1/r2 asymptotically changes to 1/r. When the cross section of a distant star falls below the cross section of a particle transmitting the gravitational force, such as a graviton, as viewed from a baryon, such as a proton, then the inverse square law is no longer valid. Gravitational attraction then depends on the distance travelled by the particle and will result in the force of gravity varying as 1/r. It is only the relative geometries which limit the inverse square law. The sizes of the suns and particles involved will only result in different limits and will not change the basic outcome of 1/r.