Adinkras From Ordered Quartets of BC\({}_4\) Coxeter Group Elements and Regarding 1,358,954,496 Matrix Elements of the Gadget

Adinkras From Ordered Quartets of BC\({}_4\) Coxeter Group Elements and Regarding 1,358,954,496 Matrix Elements of the Gadget

We examine values of the Adinkra Holoraumy-induced Gadget representation space metric over all possible four-color, four-open node, and four-closed node adinkras. Of the 1,358,954,496 gadget matrix elements, only 226,492,416 are non-vanishing and take on one of three values: \(-1/3\), \(1/3\), or \(...

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Veröffentlicht in:arXiv.org 2017-05
Hauptverfasser: Gates, S James, Guyton, rest, Harmalkar, Siddhartha, Kessler, David S, Korotkikh, Vadim, Meszaros, Victor A
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Sprache:eng
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Zusammenfassung:We examine values of the Adinkra Holoraumy-induced Gadget representation space metric over all possible four-color, four-open node, and four-closed node adinkras. Of the 1,358,954,496 gadget matrix elements, only 226,492,416 are non-vanishing and take on one of three values: \(-1/3\), \(1/3\), or \(1\) and thus a subspace isomorphic to a description of a body-centered tetrahedral molecule emerges.
ISSN:2331-8422
DOI:10.48550/arxiv.1701.00304