 
Summary: International Journal of Modern Physics B
Vol. 20, Nos. 11, 12 & 13 (2006) 17111729
© World Scientific Publishing Company
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QUANTUM KALEIDOSCOPES AND BELL'S THEOREM
P. K. ARAVIND
Physics Department, Worcester Polytechnic Institute, Worcester, MA 01609
paravind@wpi.edu
Received 19 December 2005
A quantum kaleidoscope is defined as a set of observables, or states, consisting of many different
subsets that provide closely related proofs of the BellKochenSpecker (BKS) and Bell nonlocality
theorems. The kaleidoscopes prove the BKS theorem through a simple parity argument, which also
doubles as a proof of Bell's nonlocality theorem if use is made of the right sort of entanglement.
Three closely related kaleidoscopes are introduced and discussed in this paper: a ISobservable
kaleidoscope, a 24state kaleidoscope and a 60state kaleidoscope. The close relationship of these
kaleidoscopes to a configuration of 12 points and 16 lines known as Reye's configuration is pointed
out. The "rotations" needed to make each kaleidoscope yield all its apparitions are laid out The 60
state kaleidoscope, whose underlying geometrical strocture is that of ten interlinked Reyes'
