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A Proof of Bell's Inequality in Quantum Mechanics Using Causal interactions

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  • James M. Robins
  • Tyler J. VanderWeele
  • Richard D. Gill

Abstract

type="main" xml:id="sjos12089-abs-0001"> We give a simple proof of Bell's inequality in quantum mechanics using theory from causal interaction, which, in conjunction with experiments, demonstrates that the local hidden variable assumption is false. The proof sheds light on relationships between the notion of causal interaction and interference between treatments.

Suggested Citation

  • James M. Robins & Tyler J. VanderWeele & Richard D. Gill, 2015. "A Proof of Bell's Inequality in Quantum Mechanics Using Causal interactions," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 42(2), pages 329-335, June.
    • Handle: RePEc:bla:scjsta:v:42:y:2015:i:2:p:329-335
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    File URL: http://hdl.handle.net/10.1111/sjos.12089
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    References listed on IDEAS

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    1. Constantine E. Frangakis & Donald B. Rubin & Ming-Wen An & Ellen MacKenzie, 2007. "Principal Stratification Designs to Estimate Input Data Missing Due to Death," Biometrics, The International Biometric Society, vol. 63(3), pages 641-649, September.
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