Universality of the Lorentz-Poincare'-Santilli isosymmetry for the invariant description of all possible spacetimes

Abstract

We review the origin of the physical consistency of the Lorentz- Poincaré symmetry. We outline seemingly catastrophic physical inconsistencies recently identified for noncanonical-nonunitary generalized theories defined on conventional spaces over conventional fields. We review Santilli's isotopic lifting of the Lorentz-Poincaré symmetry, by proving its invariant resolution of said inconsistencies, and universality for the representation of all possible spacetimes with a symmetric metric. The explicit isosymmetry transforms are identified. Particular care is devoted to the recent discovery of the 11-th dimensionality of the conventional Poincaré symmetry and the consequential emergence of an axiomatically consistent grand unification of electroweak and gravitational interactions. The article closes with an outline of the broader geno- and hyper-symmetries and their isodual for the description of single-valued irreversible systems, multivalued irreversible systems and antimatter systems, respectively.