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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R.M. Santilli’s Sustainable Isomathematics of IRS and IBS
Sanjay Dhoble1;1R.T.M.NAGPUR UNIVERSITY, NAGPUR-440033, Nagpur, India;
Type of Paper: Regular
Id Paper: 276
Topic: 38
Abstract:
Despite the fact that the scientific mathematical knowledge and discoveries were moving hand in hand, just before the end of 20th century there were few mathematically unsolved physical phenomena in Quantum mechanics and Quantum Chemistry. These situations called for a more comprehensive mathematical structure, far along called as ’Isofield’.
Prof. R. M. Santilli had constructed a new mathematics applicable within physical media known as Santilli isomathematics which is specifically built for interior dynamical problems. This isomathematics is based on the locally varying speed of light C = c / n (x, υ, ω, δ, T…,), which is today known as the Lorentz-Poincare-Santilli (LPS) isosymmetry and the isotopeis of this special relativity known as Santilli isorelativity.
Santilli’s fundamental idea is the representation of supposed interactions with an isotopic lifting to of the fundamental unit I of conventional theories, under the exclusive condition that is positive-definite, thus admitting the inverse = and with the arbitrary functional dependence on local quantities, such as time t, coordinates r, velocities υ , energy e, density d, frequency ω, temperature T , and other variables.
In 1983, Santilli presented the isotopies of the Minkowski spacetime with his generalized symmetric (non-singular) spacetime known as the Minkowski-Santilli isospacetime.
It was Santilli in early 1992 who first discovered the concept of ’Isofield’ which further led to a new concepts and a whole new ’Isomathematics’ which is a step further in Modern Mathematics.
This work aims at exploring the very basics of Isomathematics as formulated by Santilli regarding IRS and IBS.
Keywords:
Santilli iso- geno- hyper- and isodual-numbers; hadronic mechanics; physics; isomathematics; IRS;IBS;isofield;spacetime.References:
[1] R. M. Santilli, Hadronic Mathematics,Mechanics and Chemistry. Iso-, Geno-, Hyper- Formulations for Matter and Their Isoduals for Antimatter,Vol.III, International Academic Press, Palm Harbor, USA, 2008.[2] C. K. Thornhill, Speculations Sci. Tech. vol. 8, pp. 273-280, 1985.
[3] R. M. Santilli; 2007; reprint Institute for Basic Research IBR-TPH-03-07 see also R. M. Santilli; 2001; Foundations of Hadronic Chemistry, (Kluwer Academic Publishers, Dordrecht)
[4] R.M. Santilli, Lie-isotopic Lifting of Special Relativity for Extended Deformable Particles, Lettere Nuovo Cimento, vol. 37, pp. 545-555,1983.
http://www.santilli-foundation.org/docs/Santilli-50.pdf.
[5] R.M. Santilli, Hadronic Mathematics, Mechanics and Chemistry, Volumes I, II, III, IV and V International Academic Press 2008.
http://www.i-b-r.org/Hadronic-Mechanics.html.
[6] R.M. Santilli, Isotopic Generalizations of Galilei and Einstein Relativities, Vols. I [3a] and II [3b] (1991), International Academic Press
http://www.santillifoundation.org/docs/Santilli01.pdf.
http://www.santillifoundation.org/docs/Santilli-61.pdf.
[7] (a) G. West and G. Amato, “Experimental Confirmation of Santilli’s IsoRedShift and IsoBlueShift,” contributed paper to the Proceedings of the San Marino Workshop on Astrophysics and Cosmology for Matter and Antimatter, Republic of San Marino, September 5 to 9, 2011; (b) G. West and G. Amato, J. Comput. Methods Sci. & Eng., vol. 12, pp.169-188, 2012.
http://www.santilli-foundation.org/docs/santilli-69.pdf
[8] R.M. Santilli, Formulation, Interpretation and Verification of Isorelativity for Interior Dynamical Problems, contributed paper to the Proceedings of the San Marino Workshop on Astrophysics and Cosmology for Matter and Antimatter, Republic of San Marino, September 5 to 9, 2011, in press, 2012.
[9] R.M. Santilli, Experimental Verifications of IsoRedShift with Possible Absence of Universe Expansion, Big Bang, Dark Matter, and Dark Energy, The Open Astronomy Journal, vol. 3, pp.126-144, 2010. http://www.santilli-foundation.org/docs/Santilliisoredshift.pdf.
[10] R.M. Santilli, Experimental Verification of IsoRedShift and its Cosmological Implications, contributed paper to the Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, Rhodes, Greece, September 19–25, 2010, T.E. Simos, ed., American Institute of Physics Conference Proceedings, vol. 1281, pp. 882-885 , 2010.
http://www.santilli-foundation.org/docs/Isoredshift-Letter.pdf.
[11] R.M. Santilli, Lie-isotopic Lifting of Special Relativity for Extended Deformable Particles, Lettere Nuovo Cimento , vol. 37, pp. 545-555, 1983.
http://www.santilli-foundation.org/docs/Santilli-50.pdf.
[12] R. M. Santilli, Isotopic Generalizations of Galilei and Einstein Relativities, Vols. I and II, International Academic Press, Palm Harbor, USA, (1991) http://www.santilli-foundation.org/docs/Santilli-01.pdf.,
http://www.santilli-foundation.org/docs/Santilli-61.pdf.
[13] R.M. Santilli, Elements of Hadronic Mechanics, Volumes I and II, 2nd edition, Ukraine Academy of Sciences, Kiev, 1995.
http://www.santilli-foundation.org/docs/Santilli-300.pdf,
http://www.santilli-foundation.org/docs/Santilli-301.pdf.
[14] N. Bloembergen, “The stimulated Raman effect”, Am. J. Phys.,vol. 35,pp.989-993, 1967.
[15] Stanley David Gedzelman, “Simulating colors of clear and partly cloudy skies”, Applied Optics, vol. 44, pp. 5723-5736, 2005.
[16] M. Vollmer and S.D. Gedzelman, “Colours of the Sun and Moon: the role of the optical air mass”, Eur J Phys, vol. 27, pp. 299-309, 2006.