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arXiv · 1004.1433

New Class of 4-Dim Kochen-Specker Sets

Mladen Pavicic·Norman D. Megill·P. K. Aravind·Mordecai Waegell
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Abstract

We find a new highly symmetrical and very numerous class (millions of non-isomorphic sets) of 4-dim Kochen-Specker (KS) vector sets. Due to the nature of their geometrical symmetries, they cannot be obtained from previously known ones. We generate the sets from a single set of 60 orthogonal spin vectors and 75 of their tetrads (which we obtained from the 600-cell) by means of our newly developed "stripping technique." We also consider "critical KS subsets" and analyze their geometry. The algorithms and programs for the generation of our KS sets are presented.

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Mladen Pavicic, Norman D. Megill, P. K. Aravind, Mordecai Waegell. 2011-01-28. New Class of 4-Dim Kochen-Specker Sets. https://doi.org/10.1063/1.3549586

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