dorsal/arxiv
View SchemaDisproof of Bell's Theorem by Clifford Algebra Valued Local Variables
| Authors | Joy Christian |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703179 |
| URL | https://arxiv.org/abs/quant-ph/0703179 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
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.
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"abstract": "It is shown that Bell\u0027s theorem fails for the Clifford algebra valued local\nrealistic variables. This is made evident by exactly reproducing quantum\nmechanical expectation value for the EPR-Bohm type spin correlations observable\nby means of a local, deterministic, Clifford algebra valued variable, without\nnecessitating either remote contextuality or backward causation. Since Clifford\nproduct of multivector variables is non-commutative in general, the spin\ncorrelations derived within our locally causal model violate the CHSH\ninequality just as strongly as their quantum mechanical counterparts.",
"arxiv_id": "quant-ph/0703179",
"authors": [
"Joy Christian"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Disproof of Bell\u0027s Theorem by Clifford Algebra Valued Local Variables",
"url": "https://arxiv.org/abs/quant-ph/0703179"
},
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