TY - JOUR

T1 - Bell-type inequalities in the nonideal case

T2 - Proof of a conjecture of bell

AU - Hellman, Geoffrey

PY - 1992/6

Y1 - 1992/6

N2 - Recently Bell has conjectured that, with "epsilonics," one should be able to argue, à la EPR, from "almost ideal correlations" (in parallel Bohm-Bell pair experiments) to "almost determinism," and that this should suffice to derive an approximate Bell-type inequality. Here we prove that this is indeed the case. Such an inequality-in principle testable-is derived employing only weak locality conditions, imperfect correlation, and a propensity interpretation of certain conditional probabilities. Outcome-independence (Jarrett's "completeness" condition), hence "factorability" of joint probabilities, is not assumed, but rather an approximate form of this is derived. An alternative proof to the original one of Bell [1971] constraining stochastic, contextual hidden-variables theories is thus provided.

AB - Recently Bell has conjectured that, with "epsilonics," one should be able to argue, à la EPR, from "almost ideal correlations" (in parallel Bohm-Bell pair experiments) to "almost determinism," and that this should suffice to derive an approximate Bell-type inequality. Here we prove that this is indeed the case. Such an inequality-in principle testable-is derived employing only weak locality conditions, imperfect correlation, and a propensity interpretation of certain conditional probabilities. Outcome-independence (Jarrett's "completeness" condition), hence "factorability" of joint probabilities, is not assumed, but rather an approximate form of this is derived. An alternative proof to the original one of Bell [1971] constraining stochastic, contextual hidden-variables theories is thus provided.

UR - http://www.scopus.com/inward/record.url?scp=0011022753&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011022753&partnerID=8YFLogxK

U2 - 10.1007/BF01883744

DO - 10.1007/BF01883744

M3 - Article

AN - SCOPUS:0011022753

SN - 0015-9018

VL - 22

SP - 807

EP - 817

JO - Foundations of Physics

JF - Foundations of Physics

IS - 6

ER -