2011/11/21 by Mordecai Waegell, Waegell, Mordecai, P. K. Aravind +1
Chemistry · Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #History and advancements in chemistry #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1111.4713
8 pages, 5 tables
arxiv created 2011/11/21 · openalex publication_date 2011/11/21 · arxiv updated 2011/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The 60 real vectors derived from the vertices of a 600-cell are shown to yield a number of pentagon inequalities that are satisfied by realistic noncontextual theories but violated by quantum mechanics. The replicas of these inequalities cover Hilbert space so densely that every real four-dimensional vector violates at least one of them. It is pointed out that this set of 60 vectors contains numerous "N-gons" (generalizations of pentagons) that may be of interest in connection with demonstrations of contextuality.