Critical sets of rays in four dimensions proving the Bell-Kochen-Specker theorem

Adán Cabello, JoséM. Estebaranz, Guillermo García Alcaine

Mladen Pavičić, Norman D. Megill, Jean‐Pierre Merlet

Michel R. P. Planat

Mordecai Waegell, P. K. Aravind

Elizabeth Gould

This project examines two sets of rays in three dimensions that prove the Bell-Kochen-Specker theorem, the 33 rays of Peres and the 33 rays of Penrose. It is shown that these rays possess identical orthogonality tables and thus lead to identical proofs of the theorem. It is also shown that these sets of rays are particular members of a three parameter family of 33 rays that prove the theorem.

Michael William Kernaghan, Asher Peres