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Mathematical Foundations of Santilli Isotopies

Algebras, Groups, and Geometries 04/2015; 32:135-308.

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ABSTRACT The main objective of this text is to present the most basic and fundamental aspects of the isotopic Lie-Santilli theory, more commonly known as Lie-Santilli isotheory or simply isotheory, for short. To achieve this goal, we will construct isotopic liftings of the basic mathematical structures in a general way and then arrive at the isotopic generalization of Lie algebras.

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Article: Isosuperconductivity: A nonlocal-nonhamiltonian theory of pairing in high-T{sub c} superconductivity

A.O.E. Animalu

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ABSTRACT: The author presents a review and reformulation of the author`s recent nonlocal-nonhamiltonian generalization of the standard BCS (Bardeen-Cooper-Schrieffer) theory of electron pairing in superconductors, here called iso-superconductivity or iso-standard model for short, by drawing two analogies. The first analogy is a geometrical (relativistic) one between the internal (isominkowskian) structures of the neutral pion and the Cooper pair envisaged in the generalization; and the second analogy is a dynamical (fluid mechanics) one between the classical Hamilton-Santilli limit of the generalization and its apparent local/nonlocal two-dimensional (London) superfluid mechanics realizations for flows in the CuO{sub 2} planes of the high-T{sub c} cuprate superconductors. By using the analogies and physical considerations, the author elucidates the origins of the interactions responsible for the fluctuations in the iso-characteristics of the electron within the pair due to the mutual overlapping of the paired electron wavefunctions. The fluctuations are defined in terms of a single quantity, namely an integral operator or {open_quotes}iso unit{close_quotes}. 33 refs., 5 figs., 4 tabs.

07/1994; 17(4).

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Article: Nonlocal isotopic representation of the cooper pair in superconductivity

A. O. E. Animalu, R. M. Santilli

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ABSTRACT: We study a model of the Cooper pair in superconductivity whose basic mechanism is due to nonlinear–nonlocal and non-Hamiltonian interactions; we show the capability of the model of representing available data while possessing intriguing predictive capacities, and we propose its experimental verification. © 1995 John Wiley & Sons, Inc.

International Journal of Quantum Chemistry 02/1995; 56(S29):175 - 187. DOI:10.1002/qua.560560818 · 1.17 Impact Factor

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Article: Lie-isotropic Finslerian lifting of the Lorentz group and Blokhintsev- Redei-like behavior of the meson lifetimes and of the parameters of the K 0 -K ¯ 0 system

A.K. Aringazin

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ABSTRACT: Recently, Santilli presented the formalism of Lie-isotopic lifting of the Lorentz group associated with a generalized interval of the form x*x=x 1 b 1 2 x 1 +x 2 b 2 2 x 2 +x 3 b 3 2 x 3 +x 4 c 2 x 4 , where b,c=b,c(t,x,V,···). Restricting b and c to be dependent on the velocity V (Finsler space), we apply the formalism to describe the anomalous energy dependence of the meson lifetimes and of some fundamental parameters of the K 0 -K ¯ 0 system.

01/1989; 12(2).

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Mathematical Foundations of Santilli Isotopies

Raúl M. Falcón 11.76 · 4.37

Juan Núñez Valdés 25.78 · 37.84

Alan Aversa 7.59 · 10.33

Article: Isosuperconductivity: A nonlocal-nonhamiltonian theory of pairing in high-T{sub c} superconductivity

Article: Nonlocal isotopic representation of the cooper pair in superconductivity

Article: Lie-isotropic Finslerian lifting of the Lorentz group and Blokhintsev- Redei-like behavior of the meson lifetimes and of the parameters of the K 0 -K ¯ 0 system

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Mathematical Foundations of Santilli Isotopies

Raúl M. Falcón 11.76 · 4.37

Juan Núñez Valdés 25.78 · 37.84

Alan Aversa 7.59 · 10.33

Article: Isosuperconductivity: A nonlocal-nonhamiltonian theory of pairing in high-T{sub c} superconductivity

Article: Nonlocal isotopic representation of the cooper pair in superconductivity

Article: Lie-isotropic Finslerian lifting of the Lorentz group and Blokhintsev- Redei-like behavior of the meson lifetimes and of the parameters of the K 0 -K ¯ 0 system

Show more

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