Questions have also been raised on the limited applicability of Bell's inequality
[19-21], based on the assumptions used in its derivation.
Landau, "On the violation of Bell's inequality
in quantum theory," Physics Letters A, vol.
Title: Testing Bell's Inequality
with Cosmic Photons
Zeilinger, "Violation of Bell's inequality
under strict Einstein locality conditions," Physical Review Letters, vol.
(9) Creating a formalism now known as "Bell's Theorem," the notion of additional but concealed variables required to retain a local realism was mathematically systematized and "shown to be incompatible with the statistical predictions of quantum mechanics [or for any] theory which reproduces exactly the quantum mechanical predictions." (10) By logical argument, Bell demonstrated that, if EPR-styled supplementary parameters were present, statistically averaged results collected from an appropriate measurement regimen must comply with an algebraic inequality derived from the theorem, now termed "Bell's Inequality
," and thus, at least in principle, permit adjudication by experiment.
Organization is in 20 chapters beginning with a brief survey of analytical dynamics and ending with chapters on quantum theory of free electromagnetic field, interaction of radiation with matter, and Bell's inequality
There are reasonable discussions of some aspects of physics, such as his introduction to Bell's inequality
and the EPR paradox, but most are cursory and some even suggest misconceptions.
Topics include the unification of classical and quantum probability theories, EPR-Bohm and the original EPR experiments, Bell's inequality
, interpretations of its violation and loopholes, simulation of EPR-Bohm co-relations in the local realistic approach, nonlocality, contextual probabilistic models, subjective probability and quantum information, quantum logic, and results of recent experiments in quantum information, model theory, discrete time, dynamics, and the philosophic foundations of probability.
First he argues that both the Kochen-Specker theorem and the violation of Bell's Inequality
are best interpreted as due to ontological contextuality.
[1-3] sets constraints for the existence of local hidden variable theories in quantum mechanics.
Consider a test of Bell's inequality
in which a quantum system produces a pair of particles that fly off in opposite directions.