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| related topics |
| {bell, inequality, local} |
| {particle, mechanics, theory} |
| {field, particle, equation} |
| {cos, sin, state} |
| {measurement, state, measurements} |
| {energy, gaussian, time} |
| {group, space, representation} |
| {information, entropy, channel} |
| {observables, space, algebra} |
| {time, wave, function} |
| {entanglement, phys, rev} |
| {let, theorem, proof} |
| {theory, mechanics, state} |
|
Correlation functions, Bell's inequalities and the fundamental
conservation laws
C. S. Unnikrishnan
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0407041
- categories:
- quant-ph hep-th
- comments:
- LaTeX, 12pt, 11 pages, 2 figures
- doi:
- 10.1209/epl/i2004-10378-y
- arxiv_id:
- quant-ph/0407041
- journal_ref:
- Europhys.Lett. 69 (2005) 489-495
- created:
- 2004-07-06
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