Modified Newtonian dynamics as a prediction of general relativity

Abstract

We consider a simple model of the physical vacuum as a self-gravitating relativistic fluid. Proceeding in a step-by-step manner, we are able to show that the equations of classical electrodynamics follow if the electromagnetic four-potential is associated with the four-momentum of a space-filling fluid of neutral spinors which we identify with neutrinos and antineutrinos. Charged particles, which we identify with electrons and positrons, act as sinks for the fluid and have the structure of the maximal fast Kerr solution. Electromagnetic waves are described by oscillations in the fluid and interactions between charges occur via the exchange of photons, which have the structure of entwined neutrino-antineutrino pairs that form twisted closed loops in spacetime connecting the charges. The model predicts that antimatter has negative mass, and that neutrinos are matter-antimatter dipoles. Together these suffice to explain the presence of modified Newtonian dynamics as a gravitational polarisation effect.