ISOTOPIC GRAND UNIFICATION WITH THE INCLUSION OF GRAVITY

We introduce a dual lifting of unified gauge theories, the first chara cterized by the isotopies, which are axiom-preserving maps into broade r structures with positive-definite generalized units used for the rep resentation of matter under the isotopies of the Poincare symmetry, an d the second characterized by the isodualities, which are anti-isomorp hic maps with negative-definite generalized units used for the represe ntation of antimatter under the isodualities of the Poincare symmetry. We then submit, apparently for the first time, a novel grand unificat ion with the inclusion of gravity for matter embedded in the generaliz ed positive-definite units of unified gauge theories while gravity for antimatter is embedded in the isodual isounit. We then show that the proposed grand unification provides realistic possibilities for a reso lution of the axiomatic incompatibilities between gravitation and elec troweak interactions due to curvature, antimatter and the fundamental space-time symmetries.