Literature DB >> 26236075

A proof of Bell's inequality in quantum mechanics using causal interactions.

James M Robins1, Tyler J VanderWeele1, Richard D Gill2.   

Abstract

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 variables assumption is false. The proof sheds light on relationships between the notion of causal interaction and interference between treatments.

Entities:  

Keywords:  Interactions; interference; local reality; quantum physics

Year:  2015        PMID： 26236075      PMCID： PMC4520697          DOI： 10.1111/sjos.12089

Source DB:  PubMed          Journal:  Scand Stat Theory Appl        ISSN： 0303-6898            Impact factor:   1.396


  7 in total

1.  No time loophole in Bell's theorem: the Hess-Philipp model is nonlocal.

Authors:  R D Gill; G Weihs; A Zeilinger; M Zukowski
Journal:  Proc Natl Acad Sci U S A       Date:  2002-10-31       Impact factor: 11.205

2.  A mapping between interactions and interference: implications for vaccine trials.

Authors:  Tyler J VanderWeele; Jan P Vandenbroucke; Eric J Tchetgen Tchetgen; James M Robins
Journal:  Epidemiology       Date:  2012-03       Impact factor: 4.822

3.  Principal stratification designs to estimate input data missing due to death.

Authors:  Constantine E Frangakis; Donald B Rubin; Ming-Wen An; Ellen MacKenzie
Journal:  Biometrics       Date:  2007-09       Impact factor: 2.571

4.  Epistatic interactions.

Authors:  Tyler J VanderWeele
Journal:  Stat Appl Genet Mol Biol       Date:  2010-01-06

5.  Stochastic counterfactuals and stochastic sufficient causes.

Authors:  Tyler J Vanderweele; James M Robins
Journal:  Stat Sin       Date:  2012-01-01       Impact factor: 1.261

Review 6.  Epistasis--the essential role of gene interactions in the structure and evolution of genetic systems.

Authors:  Patrick C Phillips
Journal:  Nat Rev Genet       Date:  2008-11       Impact factor: 53.242

Review 7.  Detecting gene-gene interactions that underlie human diseases.

Authors:  Heather J Cordell
Journal:  Nat Rev Genet       Date:  2009-06       Impact factor: 53.242
  7 in total
  3 in total

1.  A mapping between interactions and interference: implications for vaccine trials.

Authors:  Tyler J VanderWeele; Jan P Vandenbroucke; Eric J Tchetgen Tchetgen; James M Robins
Journal:  Epidemiology       Date:  2012-03       Impact factor: 4.822

2.  For and Against Methodologies: Some Perspectives on Recent Causal and Statistical Inference Debates.

Authors:  Sander Greenland
Journal:  Eur J Epidemiol       Date:  2017-02-20       Impact factor: 8.082

3.  Quantifying and Interpreting Connection Strength in Macro- and Microscopic Systems: Lessons from Bell's Approach.

Authors:  Christoph Gallus; Pawel Blasiak; Emmanuel M Pothos
Journal:  Entropy (Basel)       Date:  2022-03-03       Impact factor: 2.524
  3 in total

北京卡尤迪生物科技股份有限公司 © 2022-2023.