Unification of Newton and Relativistic Energy conservation and Gravitational Equations

Abstract

In this work it was shown that the energy conservation in Newtonian and generalized special relativity are equivalent. It also shown that when the energy is conserved the definition of force in terms of momentum Leads to its definition in terms of potential in both Newton and generalized special relativistic mechanics. Centrifugal force plays an important role in physic. It can explain motion of planets beside most macroscopic circular motion. The equation of motion in a circular orbit gives a relativistic expression for velocity which gives different values for different observers. This discrepancy is removed by a doping certain transformation which requires the existence of repulsive cosmic and vacuum field. This requirement fields cause expansion and inflation.