Skip to main content

Isomorphism between the Peres and Penrose Proofs of the BKS Theorem in Three Dimensions

It is shown that the 33 complex rays in three dimensions used by Penrose to prove the Bell-Kochen-Specker theorem have the same orthogonality relations as the 33 real rays of Peres, and therefore provide an isomorphic proof of the theorem.

Published onJan 27, 2020
Isomorphism between the Peres and Penrose Proofs of the BKS Theorem in Three Dimensions
·

Abstract

It is shown that the 33 complex rays in three dimensions used by Penrose to prove the Bell-Kochen-Specker theorem have the same orthogonality relations as the 33 real rays of Peres, and therefore provide an isomorphic proof of the theorem. It is further shown that the Peres and Penrose rays are just two members of a continuous three-parameter family of unitarily inequivalent rays that prove the theorem.

Read the full article.

Gould, E., Aravind, P.K. Isomorphism between the Peres and Penrose Proofs of the BKS Theorem in Three Dimensions. Found Phys 40, 1096–1101 (2010). https://doi.org/10.1007/s10701-010-9434-2

*denotes a WPI undergraduate student author

Comments
0
comment

No comments here