The Bell Inequality Is Satisfied by Quantum Correlations Computed Consistently with Quantum Non-Commutation

@article{Sica2016TheBI,
  title={The Bell Inequality Is Satisfied by Quantum Correlations Computed Consistently with Quantum Non-Commutation},
  author={Louis Sica},
  journal={Journal of Modern Physics},
  year={2016},
  volume={07},
  pages={404-412}
}
  • L. Sica
  • Published 6 July 2015
  • Physics
  • Journal of Modern Physics
In constructing his theorem, Bell assumed that correlation functions among non-commuting variables are the same as those among commuting variables. However, in quantum mechanics, multiple data values exist simultaneously for commuting operations while for non-commuting operations data are conditional on prior outcomes, or may be predicted as alternative outcomes of the non-commuting operations. Given these qualitative differences, there is no reason why correlation functions among non-commuting… 
View PDF on arXiv
3 Citations
Background Citations
2

Figures from this paper

3 Citations

The ultimate loophole in Bell’s theorem: The inequality is identically satisfied by data sets composed of ±1′s assuming merely that they exist
Abstract Bell’s stated assumptions in deriving his inequality were sufficient conditions. It is shown that a far simpler condition exists for derivation of the inequality: the mere existence of…
Bell correlations from previously entangled states of light
Based on the Bell theorem and the resulting interpretation of the violation of Bell inequalities by experimental data, it has been believed that a theoretical computation of Bell correlations…
Bell Correlations from Local Un-Entangled States of Light and Quantum Electro-Dynamics
Based on the Bell theorem, it has been believed that a theoretical computation of the Bell correlation requires explicit use of an entangled state. Such a physical superposition of light waves occurs…

References

SHOWING 1-10 OF 24 REFERENCES
All quantum observables in a hidden-variable model must commute simultaneously
Under a standard set of assumptions for a hidden-variable model for quantum events we show that all observables must commute simultaneously. This seems to be an ultimate statement about the…
Bell's inequality violation due to misidentification of spatially non-stationary random processes
Abstract Correlations for the Bell gedankenexperiment are constructed using probabilities given by quantum mechanics, and non-local information. They satisfy Bell's inequality and exhibit spatial…
Logical Difficulty from Combining Counterfactuals in the GHZ-Bell Theorems
In eliminating the fair sampling assumption, the Greenberger, Horne, Zeilinger (GHZ) theorem is believed to confirm Bell’s historic conclusion that local hidden variables are inconsistent with the…
Bell Correlations without Entanglement: A Local Wave Model Using Gaussian-Poisson Statistics and Single Count-Pair Selection
Based on the violation of Bell inequalities, it has been believed that the derivation of Bell correlations requires a quantum description that depends on entanglement. However, the present paper…
Do we really understand quantum mechanics? Strange correlations, paradoxes, and theorems
This article presents a general discussion of several aspects of our present understanding of quantum mechanics. The emphasis is put on the very special correlations that this theory makes possible:…
On the Einstein-Podolsky-Rosen paradox
THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables. These additional…
Do we really understand quantum mechanics?
This article presents a general discussion of several aspects of our present understanding of quantum mechanics. The emphasis is put on the very special correlations that this theory makes possible:…
Do We Really Understand Quantum Mechanics?: Contents
This article presents a general discussion of several aspects of our present understanding of quantum mechanics. The emphasis is put on the very special correlations that this theory makes possible:…
Proposed Experiment to Test Local Hidden Variable Theories.
A theorem of Bell, proving that certain predictions of quantum mechanics are inconsistent with the entire family of local hidden-variable theories, is generalized so as to apply to realizable…
Violation of Bell's Inequality under Strict Einstein Locality Conditions
We observe strong violation of Bell's inequality in an Einstein-Podolsky-Rosen-type experiment with independent observers. Our experiment definitely implements the ideas behind the well-known work by…
...
...