dorsal/arxiv
View SchemaCorrelation functions, Bell's inequalities and the fundamental conservation laws
| Authors | C. S. Unnikrishnan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407041 |
| URL | https://arxiv.org/abs/quant-ph/0407041 |
| DOI | 10.1209/epl/i2004-10378-y |
| Journal | Europhys.Lett. 69 (2005) 489-495 |
Abstract
I derive the correlation function for a general theory of two-valued spin variables that satisfy the fundamental conservation law of angular momentum. The unique theory-independent correlation function is identical to the quantum mechanical correlation function. I prove that any theory of correlations of such discrete variables satisfying the fundamental conservation law of angular momentum violates the Bell's inequalities. Taken together with the Bell's theorem, this result has far reaching implications. No theory satisfying Einstein locality, reality in the EPR-Bell sense, and the validity of the conservation law can be constructed. Therefore, all local hidden variable theories are incompatible with fundamental symmetries and conservation laws. Bell's inequalities can be obeyed only by violating a conservation law. The implications for experiments on Bell's inequalities are obvious. The result provides new insight regarding entanglement, and its measures.
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"abstract": "I derive the correlation function for a general theory of two-valued spin\nvariables that satisfy the fundamental conservation law of angular momentum.\nThe unique theory-independent correlation function is identical to the quantum\nmechanical correlation function. I prove that any theory of correlations of\nsuch discrete variables satisfying the fundamental conservation law of angular\nmomentum violates the Bell\u0027s inequalities. Taken together with the Bell\u0027s\ntheorem, this result has far reaching implications. No theory satisfying\nEinstein locality, reality in the EPR-Bell sense, and the validity of the\nconservation law can be constructed. Therefore, all local hidden variable\ntheories are incompatible with fundamental symmetries and conservation laws.\nBell\u0027s inequalities can be obeyed only by violating a conservation law. The\nimplications for experiments on Bell\u0027s inequalities are obvious. The result\nprovides new insight regarding entanglement, and its measures.",
"arxiv_id": "quant-ph/0407041",
"authors": [
"C. S. Unnikrishnan"
],
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"doi": "10.1209/epl/i2004-10378-y",
"journal_ref": "Europhys.Lett. 69 (2005) 489-495",
"title": "Correlation functions, Bell\u0027s inequalities and the fundamental conservation laws",
"url": "https://arxiv.org/abs/quant-ph/0407041"
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