Abstract
The 40 states of a spin-3/2 particle used by Zimba and Penrose to prove the Kochen–Specker and Bell theorems are shown to be identical (i.e., unitarily equivalent) in CP3 to the 40 rays that follow from the vertices of the Witting polytope. The Witting polytope also gives rise to 120 rays in RP7 that give rise to well over a billion parity proofs of the Kochen–Specker theorem. The implications of these results are discussed.
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