2016-Sustainable Industrial Processing Summit
SIPS 2016 Volume 4: Santilli Intl. Symp. / Mathematics Applications
| Editors: | Kongoli F, Gaines G, Georgiev S, Bhalekar A |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2016 |
| Pages: | 320 pages |
| ISBN: | 978-1-987820-42-3 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Santilli’s Isomathematics
Arun Muktibodh1;1MOHOTA COLLEGE OF SCIENCE, Nagpur, India;
Type of Paper: Regular
Id Paper: 214
Topic: 38
Abstract:
In 1980s R. M. Santilli discovered new realizations of the abstract axioms of numeric fields with characteristic zero, based on an axiom-preserving generalization of conventional associative product and consequential positive-definite generalization of the multiplicative unit, today, known as Santilli isonumbers [1]. The resulting novel numeric fields are known as Santilli isofields. By remembering that 20th century mathematics was formulated on numeric fields, their generalization into isofields stimulated a corresponding generalization of all of 20th century mathematics and its application to mechanics, today known as Santilli isomathematics and isomechanics, respectively. This new mathematics is especially used for the representation of extended-deformable particles moving within physical media under Hamiltonian as well as contact non-Hamiltonian interactions. Additionally, Santilli discovered a second realization of the abstract axioms of a numeric field, this time with arbitrary (non-singular) negative definite generalized unit and related multiplication, today known as Santilli isodual isonumber [1] that have stimulated a second covering of 20th century mathematics and mechanics known as Santilli isodual isomathematics and isodual isomechanics. The latter methods are used for the classical as well as operator form of antimatter in the full democracy with the study of matter. In this paper, we present a comprehensive study of Santilli's epoch-making discoveries of isonumbers and their isoduals along with their application to isomechanics and its isodual for matter and antimatter, respectively.
Keywords: Isonumber, Isodual number, Isodual-isonumber, Genonumber.
References:
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