Quantum Generalizations of Bell's Inequality
, Letters in Mathematical Physics, 4(2):93100, 1980 doi:10.
[1-3] sets constraints for the existence of local hidden variable theories in quantum mechanics.
Title: Testing Bell's Inequality
with Cosmic Photons
Experimental Violation of a Bell's Inequality
with Efficient Detection', Nature, vol.
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.
Aspect A: Bell's inequality
test: more ideal than ever.
First he argues that both the Kochen-Specker theorem and the violation of Bell's Inequality
are best interpreted as due to ontological contextuality.
Violation of Bell's inequality
under strict Einstein locality conditions.
Consider a test of Bell's inequality
in which a quantum system produces a pair of particles that fly off in opposite directions.
Hence we could expect to further extend Bell's inequality
considering UFT; nonetheless we leave this further generalization for the reader.