Foundations of Physics Letters
, Volume 13, Issue 6, pp 499519
First online:
HOW REYE'S CONFIGURATION HELPS IN PROVING THE BELL–KOCHEN–SPECKER THEOREM: A CURIOUS GEOMETRICAL TALE
 P. K. AravindAffiliated withDepartment of Physics, Worcester Polytechnic Institute
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It is shown that the 24 quantum states or “rays” used by Peres (J. Phys. A 24, 1748 (1991)) to give a proof of the Bell–Kochen–Specker (BKS) theorem have a close connection with Reye's configuration, a system of twelve points and sixteen lines known to projective geometers for over a century. The interest of this observation stems from the fact that it provides a ready explanation for many of the regularities exhibited by the Peres rays and also permits a systematic construction of all possible noncoloring proofs of the BKS theorem based on these rays. An elementary exposition of the connection between the Peres rays and Reye's configuration is given, following which its applications to the BKS theorem are discussed.
 Title
 HOW REYE'S CONFIGURATION HELPS IN PROVING THE BELL–KOCHEN–SPECKER THEOREM: A CURIOUS GEOMETRICAL TALE
 Journal

Foundations of Physics Letters
Volume 13, Issue 6 , pp 499519
 Cover Date
 200012
 DOI
 10.1023/A:1007863413622
 Print ISSN
 08949875
 Online ISSN
 15729524
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Bell–Kochen–Specker theorem
 Reye's configuration
 Authors

 P. K. Aravind ^{(1)}
 Author Affiliations

 1. Department of Physics, Worcester Polytechnic Institute, Worcester, Massachusetts, 01609