• The incompatibility between local hidden variable theories and the fundamental conservation laws

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      https://www.ias.ac.in/article/fulltext/pram/065/03/0359-0379

    • Keywords

       

      Quantum correlation functions; conservation laws; Bell’s inequality; entanglement; quantum entropy; nonlocality

    • 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.

    • Author Affiliations

       

      C S Unnikrishnan1

      1. Gravitation Group, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai - 400 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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