Newton's Second Law Revisited

The present paper utilized a Complete Relativity Theory (CR), in which the common assumption of speed of light invariance is relaxed. Under the simplifying assumption of linear motion, I derive a new relativistic expression for Newton's Second Law, according to which the acceleration a produced by a force F is an increasing function of the velocity β, satisfying a(β)≥ aN and a(0)= aN, where aN is the classical Newtonian acceleration. This result may account for the observed increase of acceleration at large distances, without altering Newton's second law, except for the modification implied by relativity.