Issue |
Europhys. Lett.
Volume 69, Number 4, February 2005
|
|
---|---|---|
Page(s) | 489 - 495 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2004-10378-y | |
Published online | 14 January 2005 |
Correlation functions, Bell's inequalities and the fundamental conservation laws
Gravitation Group, Tata Institute of Fundamental Research Homi Bhabha Road, Mumbai-400 005, India
Corresponding author: unni@tifr.res.in
Received:
2
July
2004
Accepted:
7
December
2004
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 Bell's inequalities. Taken together with 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.
PACS: 03.65.Ta – Foundations of quantum mechanics; measurement theory / 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)
© EDP Sciences, 2005
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