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 for Interior Dynamic Systems

    Ritesh Kohale1;
    1SANT GADGE MAHARAJ MAHAVIDYALAYA, Nagpur, India;
    Type of Paper: Regular
    Id Paper: 311
    Topic: 38

    Abstract:

    The 20th century mathematics delivers an excellent illustration of "exterior dynamical systems" (point particles and electromagnetic waves propagating in vacuum), from the time when these systems do admit a local-differential topology. R. M. Santilli anticipated IsoMathematics for handling of the broader "interior dynamic systems" (extended particles and electromagnetic waves propagating within physical media), because the conservative mathematics was no longer appropriate for the latter systems due to nonlinear, nonlocal and non-Hamiltonian effects. Moreover, IsoMathematics reduces to indispensable by the No Reduction Theorems that prohibit a reliable reduction of interior dynamic systems to a finite number of isolated point-particles in vacuum [1].

    Keywords:

    Santilli iso- geno- hyper- and isodual-numbers; cosmology; hadronic chemistry; hadronic mechanics; physics; Mathematics;

    References:

    [1] E. Hubble, Proceedings of the National Academy of Sciences of the United States of America, 15(1929)168.
    [2] V. Slipher, Popular Astronomy, 23 (1915) 21.
    [3] F. Zwicky, Proceedings of the National Academy of Sciences of the United States of America, 15 (1929)773.
    [4] R. M. Santilli, G. West and G. Amato. "Experimental Confirmation of the IsoRedShift at Sun at Sunset and Sunrise with Consequential Absence of Universe Expansion and Related Conjectures,” Journal of Computational Methods in Sciences and Engineering, 12 (2012) 165.
    http://www.santilli-foundation.org/docs/Confirmation-sun-IRS.pdf
    [5] R. M. Santilli, "Iso-Minkowskian Geometry For Interior Dynamical Problems," Contributed paper in Cosmology, Quantum Vacuum, and Zeta Functions, Diego Saez-Gomez, Sergei Odintsov Sebastia Xambo Editors, Springer, Berlin, 2011.
    http://www.santilli-foundation.org/docs/Isominkowskian-Geom.
    [6] E. Hubble, Proceedings of the National Academy of Sciences of the United States of America, 15(1929)168.
    [7] V. Slipher, Popular Astronomy, 23 (1915) 21.
    [8] R. M. Santilli. Foundation of Theoretical Mechanics, Volume II (1982) [8a], Springer-Verlag, Heidelberg, Germany,
    http://www.santilli-foundation.org/docs/Santilli-209.pdf
    http://www.santilli-foundation.org/docs/santilli-69.pdf
    [9] R. M. Santilli, "Lie-isotopic Lifting of Special Relativity for Extended Deformable Particles," Lettere Nuovo Cimento 37, 545 (1983),
    http://www.santilli-foundation.org/docs/Santilli-50.pdf
    [10] R. M. Santilli, Elements of Hadronic Mechanics, second edition, Vol. I (1995) [20a], Vol. II 91995) [20b], Academy of Sciences, Kiev,
    http://www.santilli-foundation.org/docs/Santilli-300.pdf
    http://www.santilli-foundation.org/docs/Santilli-301.pdf
    [11] R. M. Santilli, Isotopic Generalization of Galileo and Einstein Relativities. Vol. I and II, Hadronic Press, Palm Harbor, FL, USA, 1991. http://www.santilli-foundation.org/docs/Santilli-01.pdf http ://www.santilli-foundation.org/docs/Santilli-35.pdf.
    [12] R. M. Santilli, "Iso-Minkowskian Geometry For Interior Dynamical Problems," Contributed paper in Cosmology, Quantum Vacuum, and Zeta Functions, Diego Saez-Gomez, Sergei Odintsov Sebastia Xambo Editors, Springer, Berlin, 2011.
    http://www.santilli-foundation.org/docs/Isominkowskian-Geom.
    [13] E. Hubble, Proceedings of the National Academy of Sciences of the United States of America, 15(1929)168.
    [14] V. Slipher, Popular Astronomy, 23 (1915) 21
    [15] H. Ahmar, G. Amato, J. V. Kadeisvili, J. Manuel, G. West, and O. Zogorodnia, "Additional experimental confirmations of Santilli's IsoRedShift and the consequential expected absence of universe expansion," Journal of Computational Methods in Sciences and Engineering, vol. 13, pp. 321-357, 2013.http://www.santilli-foundation.org/docs/Confirmation-sun-IRS.pdf
    [16] R.M. Santilli, Experimental Verifications of IsoRedShift with Possible Absence of Universe Expansion, Big Bang,Dark Matter, and Dark Energy, The Open Astronomy Journal 3 (2010), pp. 1–43, http://www.santilli-foundation.org/docs/Santilli-isoredshift.pdf.
    [17] R. M. Santilli, Experimental Verifications of IsoRedShift with Possible Absence of Universe Expansion, Big Bang, DarkMatter, and Dark Energy, The Open Astronomy Journal, 3(126-144) 2010.http://www.santilli-foundation.org/docs/Santilliisoredshift.pdf.
    [18] G. West and G. Amato, "Experimental Confoirmation of Santilli's IsoRedShift and IsoBlueShift,"Journal of Computational Methods in Sciences and Engineering, 12(169-188)2012.http://www.santilli-foundation.org/docs/Confirmation-IRS-IBS.pdf.
    [19] G. West and G. Amato, Documentation of IRS,
    http://www.workshops-hadronic-mechanics.org/IRS-spt-pipe.zip.
    [20] G. West and G. Amato, Documentation of IBS,
    http://www.workshops-hadronic-mechanics.org/IBS-spt-pipe.zip.

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    Cite this article as:

    Kohale R. Santilli’s Isomathematics for Interior Dynamic Systems. In: Kongoli F, Gaines G, Georgiev S, Bhalekar A, editors. Sustainable Industrial Processing Summit SIPS 2016 Volume 4: Santilli Intl. Symp. / Mathematics Applications. Volume 4. Montreal(Canada): FLOGEN Star Outreach. 2016. p. 221-230.