## There is No Einstein-Podolsky-Rosen Paradox in Clifford-Spaces

**Authors:** Carlos Castro

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-½ particles involved in the Einstein-Podolksy-Rosen (EPR) experiment.
This is achieved by proving why the addition laws 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.

**Comments:** 8 pages, This article appeared in Adv. Studies in Theor. Phys. 1, no. 12 (2007) 603-610.

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### Submission history

[v1] 27 Aug 2009

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