2017-Sustainable Industrial Processing Summit
SIPS 2017 Volume 6. Mathematics, Multiscale Mechanics, Coatings

Editors:Kongoli F, Masset P, Rokicki P
Publisher:Flogen Star OUTREACH
Publication Year:2017
Pages:142 pages
ISBN:978-1-987820-71-3
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)
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    The Holographic Principle

    Peter Rowlands1;
    1UNIVERSITY OF LIVERPOOL, Liverpool, United Kingdom (Great Britain);
    Type of Paper: Regular
    Id Paper: 122
    Topic: 38

    Abstract:

    The holographic principle, conjectured to be a consequence of string theory and quantum gravity, may be a more general organizing principle within the universe. The isonilpotent generalization of the nilpotent structure of the fermion state implies that every system which obeys the fundamental conservation principles of energy, momentum and angular momentum, has a nilpotent or isonilpotent structure as a square root of zero. If the universe is a zero totality zero, then a system or discrete object of any size can only obey conservation principles, if the rest of the universe is mathematically structured as its dual or mirror image. The nilpotent representation is founded on a double space structure, with a form determined by the nature of the system. Typically, then, to specify a system, we require just two dimensions of one of these spaces. These may be manifested as a physical pairing of terms, such as energy and momentum, energy and time, momentum and position, space and time, or even two different aspects of angular momentum. These become the ‘areas’ of the holographic principle, which can also be correlated with real areas. The different representations can be correlated as manifestations of the way in which the ‘information’ driving physical and other systems is both stored and recovered.

    Keywords:

    Santilli iso- geno- hyper- and isodual-numbers; physics; Mathematics;

    References:

    [1] G. ’t Hooft, Dimensional Reduction in Quantum Gravity, in A. Ali, J. Ellis and S. Randjbar-Daemi (eds.), ‘Salamfest’, 1993, World Scientific, pp 284-96.
    [2] L. Susskind, J. Math. Phys., 36 (1995), 6377.
    [3] P. Rowlands, Isonilpotents and Self-Organization, in F. Kongoli, G. Gaines, S. Georgiev, A. Bhalekar, 2016 Sustainable Industrial Processing Summit and Exhibition, Volume 4: Santilli Intnl Symp. / Mathematical Application, 71-84.
    [4] P. Rowlands, Zero to Infinity The Foundations of Physics, 2007, World Scientific.
    [5] P. Rowlands, The Foundations of Physical Law, 2014, World Scientific.
    [6] P. Rowlands, How Schrödinger’s Cat Escaped the Box, 2015, World Scientific.
    [7] P. Rowlands, An algebra combining vectors and quaternions: A comment on James D. Edmonds’ paper. Speculat. Sci. Tech., 17 (1994), 279-282.
    [8] P. Rowlands, Some interpretations of the Dirac algebra. Speculat. Sci. Tech., 19 (1996), 243-51.
    [9] P. Rowlands and J. P. Cullerne, The connection between the Han-Nambu quark theory, the Dirac equation and fundamental symmetries. Nuclear Physics A 684 (2001), 713-5.
    [10] P. Rowlands, Symmetry breaking and the nilpotent Dirac equation, AIP Conference Proceedings, 718 (2004), 102-115.
    [11] P. Rowlands, Dual Vector Spaces and Physical Singularities, AIP Conference Proceedings, 1316 (2010), 102-111.
    [12] R. M. Santilli, Isodual theory of antimatter, 2016, Dordrecht: Springer.

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    Cite this article as:

    Rowlands P. (2017). The Holographic Principle. In Kongoli F, Masset P, Rokicki P (Eds.), Sustainable Industrial Processing Summit SIPS 2017 Volume 6. Mathematics, Multiscale Mechanics, Coatings (pp. 77-84). Montreal, Canada: FLOGEN Star Outreach