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

被引:4
|
作者
Robins, James M. [1 ,2 ]
VanderWeele, Tyler J. [1 ,2 ]
Gill, Richard D. [3 ]
机构
[1] Harvard Univ, Sch Publ Hlth, Dept Epidemiol, Boston, MA 02115 USA
[2] Harvard Univ, Sch Publ Hlth, Dept Biostat, Boston, MA 02115 USA
[3] Leiden Univ, Math Inst, NL-2300 RA Leiden, Netherlands
关键词
interactions; interference; local reality; quantum physics; GENE INTERACTIONS;
D O I
10.1111/sjos.12089
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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.
引用
收藏
页码:329 / 335
页数:7
相关论文
共 50 条
  • [31] ON HEISENBERG'S INEQUALITY AND BELL'S INEQUALITY
    Nagasawa, Masao
    KODAI MATHEMATICAL JOURNAL, 2012, 35 (01) : 33 - 51
  • [32] Bell's theorem allows local theories of quantum mechanics
    Hance, Jonte R.
    Hossenfelder, Sabine
    NATURE PHYSICS, 2022, 18 (12) : 1382 - 1382
  • [33] Bell's theorem, nonseparability, and spacetime individuation in quantum mechanics
    Belousek, DW
    PHILOSOPHY OF SCIENCE, 1999, 66 (03) : S28 - S46
  • [34] Bell’s theorem allows local theories of quantum mechanics
    Jonte R. Hance
    Sabine Hossenfelder
    Nature Physics, 2022, 18 : 1382 - 1382
  • [35] The equivalence of Bell's inequality and the Nash inequality in a quantum game-theoretic setting
    Iqbal, Azhar
    Chappell, James M.
    Abbott, Derek
    PHYSICS LETTERS A, 2018, 382 (40) : 2908 - 2913
  • [36] Hybrid quantum logic and a test of Bell’s inequality using two different atomic isotopes
    C. J. Ballance
    V. M. Schäfer
    J. P. Home
    D. J. Szwer
    S. C. Webster
    D. T. C. Allcock
    N. M. Linke
    T. P. Harty
    D. P. L. Aude Craik
    D. N. Stacey
    A. M. Steane
    D. M. Lucas
    Nature, 2015, 528 : 384 - 386
  • [37] Hybrid quantum logic and a test of Bell's inequality using two different atomic isotopes
    Ballance, C. J.
    Schaefer, V. M.
    Home, J. P.
    Szwer, D. J.
    Webster, S. C.
    Allcock, D. T. C.
    Linke, N. M.
    Harty, T. P.
    Craik, D. P. L. Aude
    Stacey, D. N.
    Steane, A. M.
    Lucas, D. M.
    NATURE, 2015, 528 (7582) : 384 - +
  • [38] Maximally causal quantum mechanics
    Roy, SM
    PRAMANA-JOURNAL OF PHYSICS, 1998, 51 (05): : 597 - 602
  • [39] Maximally causal quantum mechanics
    S. M. Roy
    Pramana, 1998, 51 : 597 - 602
  • [40] THE CAUSAL INTERPRETATION OF QUANTUM MECHANICS
    EPSTEIN, ST
    PHYSICAL REVIEW, 1953, 91 (04): : 985 - 985