## 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.

**Download:** **PDF**

### Submission history

[v1] 27 Aug 2009

**Unique-IP document downloads:** 244 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*