Isominkowskian formulation of gravity

Abstract

We submit the viewpoint that, perhaps, some of the controversies in gravitation occurred during this century are not due to insufficiencies of Einstein's field equations, but rather to insufficiencies in the mathematics used for their treatment. For this purpose we treat the same equations with the novel, broader isomathematics and related isominkowskian geometry, and show an apparently final resolution in favor of existing relativities of controversies such as: the lack of invariance of the basic units of space and time; lack of compatibility between gravitational and relativistic conservation laws; lack of meaningful relativistic limit of gravitation; and others. However, an apparent necessary condition for the resolution of these controversies is the abandonment of the notion of curvature used in this century in favor of a conceptual and mathematical broader notion. A number of intriguing implications and experimental verifications are pointed out.