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, firstname.lastname@example.org
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