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Title: Lie, Santilli, and nanotechnology: From the elementary particles to the periodic table of the elements

Abstract

Santilli’s revolutionary iso-, geno- and hypermathematics have provided the original straight line Lie groups and algebras with a span and coherence in all dimensions, and thus already at the infinitesimal level an extension in the Cartesian sense, allowing a continuous self-similar cyclical realization of matter from the elementary particle threshold level via the atomic to molecular and visible scale where it meets and marries with modern nanotechnology in the form of an isotropic vector matrix of space-filling octahedron-tetrahedron composition. This is distributed as an electron transition matrix with Bohr shell model stratified signature and is here directly outlining a new, centrally coordinated organic composition and chart of the periodic system as specifically exemplified by the noble gases.

Authors:
 [1]
  1. Faculty of Health Sciences, University of Linköping, Se-581 83 Linköping (Sweden)
Publication Date:
OSTI Identifier:
22390768
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1637; Journal Issue: 1; Conference: ICNPAA 2014: 10. International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, Narvik (Norway), 15-18 Jul 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; DIAGRAMS; ELECTRONS; LIE GROUPS; MATRICES; NANOTECHNOLOGY; PERIODIC SYSTEM; RARE GASES; SHELL MODELS; SPACE; VECTORS

Citation Formats

Trell, Erik. Lie, Santilli, and nanotechnology: From the elementary particles to the periodic table of the elements. United States: N. p., 2014. Web. doi:10.1063/1.4904685.
Trell, Erik. Lie, Santilli, and nanotechnology: From the elementary particles to the periodic table of the elements. United States. https://doi.org/10.1063/1.4904685
Trell, Erik. 2014. "Lie, Santilli, and nanotechnology: From the elementary particles to the periodic table of the elements". United States. https://doi.org/10.1063/1.4904685.
@article{osti_22390768,
title = {Lie, Santilli, and nanotechnology: From the elementary particles to the periodic table of the elements},
author = {Trell, Erik},
abstractNote = {Santilli’s revolutionary iso-, geno- and hypermathematics have provided the original straight line Lie groups and algebras with a span and coherence in all dimensions, and thus already at the infinitesimal level an extension in the Cartesian sense, allowing a continuous self-similar cyclical realization of matter from the elementary particle threshold level via the atomic to molecular and visible scale where it meets and marries with modern nanotechnology in the form of an isotropic vector matrix of space-filling octahedron-tetrahedron composition. This is distributed as an electron transition matrix with Bohr shell model stratified signature and is here directly outlining a new, centrally coordinated organic composition and chart of the periodic system as specifically exemplified by the noble gases.},
doi = {10.1063/1.4904685},
url = {https://www.osti.gov/biblio/22390768}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1637,
place = {United States},
year = {Wed Dec 10 00:00:00 EST 2014},
month = {Wed Dec 10 00:00:00 EST 2014}
}