Complementary Relativity

Abstract

Special theory of relativity has been formulated in a vacuum momentum-energy representation which is equivalent to Einstein special relativity and predicts just the same results as it. Although in this sense such a formulation would be at least classically useless, its consistent extension to noninertial frames produces a momentum-energy metric which behaves as a new dynamical quantity that is here interpreted in terms of a cosmological field. This new field would be complementary to gravity in that its strength varies inversely to as that of gravity does. Using a strong-field approximation, we suggest that the existence of this cosmological field would induce a shift of luminous energy which could justify the existence of all the assumed invisible matter in the universe, so as the high luminousities found in active galactic nuclei and quasars.