Isominkowskian unification of the special and general relativities (letter)

Abstract

We submit a classical unification of the special and general relativities via the new isominkowskian geometry in which the two relativities are differentiated by the basic unit. We then show that the unification admits an operator image in which gravitation verifies the abstract axioms of relativistic quantum mechanics under a universal symmetry which is isomorphic to the Poincaré symmetry. The compliance of the unification with available experimental data is indicated. This study has been permitted by the recent achievement of sufficient mathematical maturity in memoir$^{3f}$, axiomatic consistency in memoir$^{3t}$ and generalized symmetry principles in memoir$^{4v}$. More detailed studies are presented in the forthcoming paper$^{3u}$.