C. Castro: No Einstein-Podolsky-Rosen Paradox in Clifford-spaces

There is No Einstein-Podolsky-Rosen Paradox in Clifford-spaces

by Carlos Castro
Center for Theoretical Studies of Physical Systems
Clark Atlanta University, Atlanta, GA. 30314, castro@ctsps.cau.edu
June 2007

Abstract It is shown how one can attain the desired locally causal property of QM in Clifford-spaces despite the spacelike separation of two massive spin-1/2 particles involved in the Einstein-Podolksy-Rosen (EPR) experiment. This is achieved by proving why the addition law of the particles poly-vector-valued momentum in Clifford-space is null-like. This is the key reason why it is possible to implement a locally causal QM theory in Clifford-spaces despite that QM has a non-local character in ordinary spacetime. The two particles can exchange signals in Clifford-space encoding
their respective spin measurement values. Consequently, there is no EPR paradox in the Clifford space associated with the Clifford algebra Cl(3, 1) of the underlying 4D spacetime.

Received: 10 June 2007. Submitted to: Phys. Letts. B

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