Derivation of Generalized Special Relativity Equations Using Non Linear Lorentz Transformation and Relation of Matter and Antimatter to Repulsive Gravity

Abstract

Generalized non linear Lorentz transformation is utilized to derive modified special relativistic space – time equations . The equations are found for particles moving in a potential field . The transformation is based on the usual Newtonian relation displacement in terms of initial velocity for constant acceleration . The displacement in all frames are expressed in terms of spatial coordinate time and potential per unit mass . The expressions for Lorentz transformation parameter , space and time reduces to that of ordinary special relativity in the absence of field . The energy relation reduces to special relativity for no field and to Newtonian one for law velocity . Generalized special relativistic energy relations shows that velocity as well as field potential affect the energy . These relations were used to find vacuum energy by minimizing energy . The minimization shows that vacuum energy consists of photons having energy that can produce particle and anti particle pair . It also shows that the mass of antiparticle is negative , thus it repel ordinary particle . Another expression of vacuum energy shows that vacuum decays and transform may be to ordinary matter as proposed by scientists .