Abstract:
Vacuum energy plays an important role in the early universe. It is responsible, for predicting universe inflation and solving many cosmological problems. It is assumed to be responsible for generating elementary particle masses but through very complex mathematical frame work like guage theories and higgs mechanism. In this work a relativity simple model is proposed to find vacuum energy by either minimizing gravity Hamiltonian or using the generalized Einstein special relativity or by using quantum Einstein general relativity. This vacuum energy is found to be quantized and generate particle masses. the quantum number for some elementary particles was found.
Its also observed that the inertial gravitational mass are equal in Savickas model which is compatible with equivalence principle while Einstein Generalized special relativity does not.