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.
[v1] 27 Aug 2009
Unique-IP document downloads: 262 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
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.