Analogy of Weber's Electrodynamics Formula for Gravitation may Explain Dark Matter, Dark Energy, Hubble's Law and Pioneer Anomaly

Abstract

Weber's electrodynamics formula for the force of interaction between moving charged particles, which is a modification of Coulomb's law, may solve many of the paradoxes and puzzles in classical and relativistic electromagnetism. In this paper we propose modification of Newton's law of gravitation according to Weber's formula. This may solve many of the outstanding problems in cosmology such as dark matter, dark energy and the Pioneer anomaly.