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 .
