Prof. Ruggero Santilli

Abstract:

We outline the insufficiencies of 20th century mathematics for a representation of: A) Extended objects moving within physical media; B) The irreversibility of the physical world; and C) Antimatter in a form admitting annihilation. We then outline three corresponding coverings of 20th century mathematics and their scientific as well as industrial applications: 1) The local-differential character with consequential inability to represent extended bodies, such as a proton in the core of a star; 2) The lack of a time ordering, with consequential inability to represent the time irreversibility of nature; and 3) The lack of a dual form allowing the conjugation from matter to antimatter at the classical (rather than quantum) level and for neutral (as well as charged) antimatter. We then outline three corresponding coverings of 20th century mathematics: 1) IsoMathematics with Lie-Santilli algebraic structure for the representation of the extended, thus deformable shape of bodies and electromagnetic waves propagating within physical media; 2) GenoMathematics with Santilli Lie-admissible structure for irreversible dynamics of extended particles and electromagnetic waves propagating within physical media in a form compatible with thermodynamical laws; and 3) IsoDual conventional, isotopic and genotopic mathematics for the transition from matter to antimatter from Newtonian mechanics all the way to second quantization. We finally outline the use of the new mathematics to new sustainable energies that are under development at the U. S. publicly traded companies Magnegas Corporation and Thunder Energies Corporation.