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• W2407966099 abstract "Beginning with studies in the 1980s at the Department of Mathematics of Harvard University, the Italian-American scientist 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 <i>isonumbers</i> [1], and the resulting novel numeric fields are known as Santilli <i>isofields</i>. 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 <i>isomatheatics</i> and <i>isomechanics</i>, respectively, which is used for the representation of extended-deformable particles moving within physical media under Hamiltonian as well as contact non-Hamiltoian 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 <i>isodual isonumber</i> [1] that have stimulated a second covering of 20th century mathematics and mechanics known as Santilli isodual isomathematics and <i>isodual isomechanics</i>. The latter methods are used for the classical as well as operator form of antimatter in 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." @default.
• W2407966099 created "2016-06-24" @default.
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• W2407966099 date "2016-01-01" @default.
• W2407966099 modified "2023-10-18" @default.
• W2407966099 title "Studies on Santilli’s Isonumber Theory" @default.
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• W2407966099 doi "https://doi.org/10.11648/j.ajmp.2016050201.12" @default.
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