|
| related topics |
| {bell, inequality, local} |
| {group, space, representation} |
| {particle, mechanics, theory} |
| {let, theorem, proof} |
| {operator, operators, space} |
| {field, particle, equation} |
| {observables, space, algebra} |
| {equation, function, exp} |
| {theory, mechanics, state} |
|
Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables
Joy Christian
abstract: It is shown that Bell's theorem fails for the Clifford algebra valued local
realistic variables. This is made evident by exactly reproducing quantum
mechanical expectation value for the EPR-Bohm type spin correlations observable
by means of a local, deterministic, Clifford algebra valued variable, without
necessitating either remote contextuality or backward causation. Since Clifford
product of multivector variables is non-commutative in general, the spin
correlations derived within our locally causal model violate the CHSH
inequality just as strongly as their quantum mechanical counterparts.
- oai_identifier:
- oai:arXiv.org:quant-ph/0703179
- categories:
- quant-ph gr-qc hep-th
- comments:
- 4 pages; RevTeX4; Further elaborations may be found in
arXiv:0904.4259, arXiv:0806.3078, arXiv:0707.1333, and arXiv:quant-ph/0703244
- arxiv_id:
- quant-ph/0703179
- created:
- 2007-03-20
- updated:
- 2010-04-22
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