2025 - Sustainable Industrial Processing Summit
SIPS2025 Volume 3. Kauffman Intl. Symp. / Mathematics
| Editors: | F. Kongoli, A. Bountis, M. Johnson, S. Karam, P. Mandell, M. Mikalajunas, W. Miller, G. Ord, P. Rowlands, R.M. Santilli, E. Suhir, E. Trell, T. Vougiouklis |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2025 |
| Pages: | 214 pages |
| ISBN: | 978-1-998384-42-6 (CD) |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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INTRODUCTION TO ISO, GENO-, AND HYPER-MATHEMATICS AND THEIR APPLICATIONS IN PHYSICS, CHEMISTRY AND BIOLOGY
Ruggero Maria Santilli1; Emanuele Velardo1;1THE INSTITUTE FOR BASIC RESEARCH, Palm Harbor, United States;
Type of Paper: Plenary
Id Paper: 360
Topic: 38
Abstract:
We review recent advances on isomathematics, genomathematics and hypermathematics for the invariant representation of reversible, irreversible and multi-valued systems of extended constituents in conditions of deep mutual entanglement, with conventional linear, local and potential interactions represented by the conventional Hamiltonian H plus non-linear, non-local and non-potential interactions represented by the operator S in the associativity-preserving iso-, geno- and hyper-completions 
, 
, of the millenary old associative product of operators 
, 
. We then review advances in physics, chemistry and biology which are permitted by iso-, geno- and hyper- mathematics, but impossible for 20th century applied mathematics [1] [2].