Initiating Santilli's Iso-Mathematics to Triplex Numbers, Fractals, and Inopin's Holographic Ring: Preliminary Assessment and New Lemmas

Authors: Nathan O. Schmidt, Reza Katebi

In a preliminary assessment, we begin to apply Santilli's iso-mathematics to triplex numbers, Euclidean triplex space, triplex fractals, and Inopin's 2-sphere holographic ring (HR) topology. In doing so, we successfully identify and define iso-triplex numbers for iso-fractal geometry in a Euclidean iso-triplex space that is iso-metrically equipped with an iso-2-sphere HR topology. As a result, we state a series of lemmas that aim to characterize these emerging iso-mathematical structures. These initial outcomes indicate that it may be feasible to engage this encoding framework to systematically attack a broad range of problems in the disciplines of science and mathematics, but a thorough, rigorous, and collaborative investigation should be in order to challenge, refine, upgrade, and implement these ideas.

Comments: 34 pages, 7 figures, accepted in the Hadronic Journal

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Submission history

[v1] 2013-08-09 16:29:58
[v2] 2013-10-11 17:31:47

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