In this paper, we outline the various branches of hadronic mathematics and their applications to corresponding branches of hadronic mechanics and chemistry as conceived by the Italian-American scientist Ruggero Maria Santilli. According to said conception, hadronic mathematics comprises the following branches for the treatment of matter in conditions of increasing complexity: 1) 20th century mathematics based on Lie’s theory; 2) IsoMathematics based on Santilli’s isotopies of Lie’s theory; 3) GenoMathematics based on Santilli’s formulation of Albert’s Lie-admissibility; 4) HyperMathematics based on a multi-valued realization of genomathematics with classical operations; and 5) HyperMathematics based on Vougiouklis Hv hyperstructures expressed in terms of hyperoperations. Additionally, hadronic mathematics comprises the anti-Hermitean images (called isoduals) of the five preceding mathematics for the description of antimatter also in conditions of increasing complexity. The outline presented in this paper includes the identification of represented physical or chemical systems, the main mathematical structure, and the main dynamical equations per each branch. We also show the axiomatic consistency of various branches of hadronic mathematics as sequential coverings of 20th century mathematics; and indicate a number of open mathematical problems. Novel physical and chemical applications permitted by hadronic mathematics are presented in subsequent collections.
| Published in |
American Journal of Modern Physics (Volume 5, Issue 2-1)
This article belongs to the Special Issue Issue II: Foundations of Hadronic Mechanics |
| DOI | 10.11648/j.ajmp.2016050201.11 |
| Page(s) | 1-16 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Santilli isomathematics, Genomathematics, Hypermathematics
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| [38] | R. M. Santilli, ÒDoes antimatter emit a new light?Ó Invited paper for the proceedings of the International Conference on Antimatter, held in Sepino, Italy, on May 1996, invited publication in Hyperfine Interactions vol. 109, 1997, pp. 63-81, http://www.santilli-foundation.org/docs/Santilli-28.pdf |
| [39] | Santilli, R. M. “Isominkowskian Geometry for the Gravitational Treatment of Matter and its Isodual for Antimatter," Intern. J. Modern Phys. 1998, D 7, 351, http://www.santilli-foundation.org/docs/Santilli-35.pdfR. |
| [40] | R. M. Santilli, Isodual Theory of Antimatter with Applications to Antigravity, Grand Unifications and Cosmology, Springer (2006). |
| [41] | R. M. Santilli, "Apparent detection of antimatter galaxies via a telescope with convex lenses," Clifford Analysis, Clifford Algebras and their Applications vol. 3, 2014, pages 1-26 (Cambridge, UK), http://www.santilli-foundation.org/docs/Antimatter-telescope-2013-final.pdf |
| [42] | P. Bhujbal, J. V. Kadeisvili, A. Nas, S Randall, and T. R. Shelke, “Preliminary confirmation of antimatter detection via Santilli telescope with concave lenses," Clifford Analysis, Clifford Algebras and their Applications Vol. 3, pages 27-39, 2014 (Cambridge, UK), www.santilli-foundation.org/docs/Con-Ant-Tel-2013.pdf |
| [43] | S. Beghella-Bartoli, Prashant M. Bhujbal, Alex Nas, “Confirmation of antimatter detection via Santilli telescope with concave lenses," American Journal of Modern Physics Vol. 4, pages 34-41 (2015), http://www.santilli-foundation.org/docs/antimatter-detect-2014.pdf |
| [44] | B. Davvaz, R. M. Santilli and T. Vougiouklis, Studies Of Multi-Valued Hyperstructures For The characterization Of Matter-Antimatter Systems And Their Extension Proceedings of the Third International Conference on the Lie-Admissible Treatment of Irreversible Processes, C. Corda, Editor, Kathmandu University (2011), pages 45-57, http://www.santilli-foundation.org/docs/Davvaz-Sant-Vou.pdf |
| [45] | Scientific archives from 1967 to 2007, http://www.santilli-foundation.org/docs/Santilli-64.pdf, Scientific Archives from 2007 to 2015, http://www.santilli-foundation.org/news.html |
APA Style
Richard Anderson. (2016). Outline of Hadronic Mathematics, Mechanics and Chemistry as Conceived by R. M. Santilli. American Journal of Modern Physics, 5(2-1), 1-16. https://doi.org/10.11648/j.ajmp.2016050201.11
ACS Style
Richard Anderson. Outline of Hadronic Mathematics, Mechanics and Chemistry as Conceived by R. M. Santilli. Am. J. Mod. Phys. 2016, 5(2-1), 1-16. doi: 10.11648/j.ajmp.2016050201.11
AMA Style
Richard Anderson. Outline of Hadronic Mathematics, Mechanics and Chemistry as Conceived by R. M. Santilli. Am J Mod Phys. 2016;5(2-1):1-16. doi: 10.11648/j.ajmp.2016050201.11
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Download@article{10.11648/j.ajmp.2016050201.11,
author = {Richard Anderson},
title = {Outline of Hadronic Mathematics, Mechanics and Chemistry as Conceived by R. M. Santilli},
journal = {American Journal of Modern Physics},
volume = {5},
number = {2-1},
pages = {1-16},
doi = {10.11648/j.ajmp.2016050201.11},
url = {https://doi.org/10.11648/j.ajmp.2016050201.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.2016050201.11},
abstract = {In this paper, we outline the various branches of hadronic mathematics and their applications to corresponding branches of hadronic mechanics and chemistry as conceived by the Italian-American scientist Ruggero Maria Santilli. According to said conception, hadronic mathematics comprises the following branches for the treatment of matter in conditions of increasing complexity: 1) 20th century mathematics based on Lie’s theory; 2) IsoMathematics based on Santilli’s isotopies of Lie’s theory; 3) GenoMathematics based on Santilli’s formulation of Albert’s Lie-admissibility; 4) HyperMathematics based on a multi-valued realization of genomathematics with classical operations; and 5) HyperMathematics based on Vougiouklis Hv hyperstructures expressed in terms of hyperoperations. Additionally, hadronic mathematics comprises the anti-Hermitean images (called isoduals) of the five preceding mathematics for the description of antimatter also in conditions of increasing complexity. The outline presented in this paper includes the identification of represented physical or chemical systems, the main mathematical structure, and the main dynamical equations per each branch. We also show the axiomatic consistency of various branches of hadronic mathematics as sequential coverings of 20th century mathematics; and indicate a number of open mathematical problems. Novel physical and chemical applications permitted by hadronic mathematics are presented in subsequent collections.},
year = {2016}
}
TY - JOUR T1 - Outline of Hadronic Mathematics, Mechanics and Chemistry as Conceived by R. M. Santilli AU - Richard Anderson Y1 - 2016/05/18 PY - 2016 N1 - https://doi.org/10.11648/j.ajmp.2016050201.11 DO - 10.11648/j.ajmp.2016050201.11 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 1 EP - 16 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.2016050201.11 AB - In this paper, we outline the various branches of hadronic mathematics and their applications to corresponding branches of hadronic mechanics and chemistry as conceived by the Italian-American scientist Ruggero Maria Santilli. According to said conception, hadronic mathematics comprises the following branches for the treatment of matter in conditions of increasing complexity: 1) 20th century mathematics based on Lie’s theory; 2) IsoMathematics based on Santilli’s isotopies of Lie’s theory; 3) GenoMathematics based on Santilli’s formulation of Albert’s Lie-admissibility; 4) HyperMathematics based on a multi-valued realization of genomathematics with classical operations; and 5) HyperMathematics based on Vougiouklis Hv hyperstructures expressed in terms of hyperoperations. Additionally, hadronic mathematics comprises the anti-Hermitean images (called isoduals) of the five preceding mathematics for the description of antimatter also in conditions of increasing complexity. The outline presented in this paper includes the identification of represented physical or chemical systems, the main mathematical structure, and the main dynamical equations per each branch. We also show the axiomatic consistency of various branches of hadronic mathematics as sequential coverings of 20th century mathematics; and indicate a number of open mathematical problems. Novel physical and chemical applications permitted by hadronic mathematics are presented in subsequent collections. VL - 5 IS - 2-1 ER -
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