The incompatibility between local hidden variable theories and the fundamental conservation laws |
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Authors: | C S Unnikrishnan |
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Institution: | (1) Gravitation Group, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005 Mumbai, India |
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Abstract: | I discuss in detail the result that the Bell’s inequalities derived in the context of local hidden variable theories for discrete
quantized observables can be satisfied only if a fundamental conservation law is violated on the average. This result shows
that such theories are physically nonviable, and makes the demarcating criteria of the Bell’s inequalities redundant. I show
that a unique correlation function can be derived from the validity of the conservation law alone and this coincides with
the quantum mechanical correlation function. Thus, any theory with a different correlation function, like any local hidden
variable theory, is incompatible with the fundamental conservation laws and space-time symmetries. The results are discussed
in the context of two-particle singlet and triplet states, GHZ states, and two-particle double slit interferometry. Some observations
on quantum entropy, entanglement, and nonlocality are also discussed. |
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Keywords: | Quantum correlation functions conservation laws Bell’ s inequality entanglement quantum entropy nonlocality |
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