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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    Isonilpotents and Self-Organization

    Peter Rowlands1;
    1UNIVERSITY OF LIVERPOOL, Liverpool, United Kingdom (Great Britain);
    Type of Paper: Regular
    Id Paper: 278
    Topic: 38

    Abstract:

    A significant aspect of sustainable development requires an understanding of the spontaneous behaviour of natural systems, especially in terms of self-organization and self-assembly. If we understand how these processes occur in nature we can begin to replicate them with maximum efficiency and in the most sustainable way. My own work shows that, using evidence from mathematics, computational and systems theory, physics, chemistry, biology and ecology indicates that self-organization in Nature follows a route involving a dual-space nilpotent structure, which immediately connects any organized system with its environment in a completely definable way. The mathematics of this is exact and operates on every scale from the quantum level to galactic clusters, and involves both living and non-living structures. A significant development in this work is a connection to the isomathematics of R. M. Santilli, which, when applied to physics, is concerned with typically extended sources, for example involving media, etc., where conventional quantum mechanics and special relativity no longer hold, and where technological applications become important. The isonilpotent structures which emerge from this connection have many potential applications where self-organization is an important process. The paper will show how the abstract mathematical process operates, describe how it provides the natural explanation of self-organization at all scales, and supply examples of its application.

    Keywords:

    Santilli iso- geno- hyper- and isodual-numbers; biology; physics; quantum mechanics; Mathematics;

    References:

    [1] D. Hestenes, Space-time Algebra, Gordon and Breach, 1966.
    [2] P. Rowlands, arXiv.org:physics/0507188.
    [3] P. Rowlands, Zero to Infinity, forthcoming.

    Cite this article as:

    Rowlands P. Isonilpotents and Self-Organization. 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. 71-84.