Bell's Theorem and Nonlinear Systems

Abstract

For all Einstein-Podolsky-Rosen-type experiments on deterministic systems the Bell inequality holds, unless non-local interactions exist between certain parts of the setup. Here we show that in nonlinear systems the Bell inequality can be violated by non-local effects that are arbitrarily weak. Then we show that the quantum result of the existing Einstein-Podolsky-Rosen-type experiments can be reproduced within deterministic models that include arbitrarily weak non-local effects.

Accepted for publication in Europhysics Letters. 14 pages, no figures. In the Appendix (not included in the EPL version) the author says what he really thinks about the subject

References in corpus (1)

• Violation of Bell's inequality under strict Einstein locality conditions

Cited by in corpus (5)

• Bell's Theorem: Two Neglected Solutions
• Are Hidden-Variable Theories for Pilot-Wave Systems Possible ?
• The interpretation of quantum mechanics and of probability: Identical role of the 'observer'
• Does Chance Hide Necessity ? A Reevaluation of the Debate 'Determinism - Indeterminism' in the Light of Quantum Mechanics and Probability Theory
• On the Implication of Bell's Probability Distribution and Proposed Experiments of Quantum Measurement