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Foundations of Physics

The compatibility between quantum mechanics and local realist theories in atomic cascade experiments

Miguel Ferrero, Trevor W. Marshall

Published Apr 1, 1991• 2 citations
Publisher
DOI
10.1007/bf00733355

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arXiv:quant-ph/0110160•Oct 27, 2001•0 citations
A family of theories called "deterministic local hidden variable theories" (DLHV) is characterized and their consequences are investigated for an experimentally realistic situation. An experiment on the polarization correlation of optical photon pairs emitted in certain atomic cascades is proposed as a test of the family of DLHV theories. The model-independent hidden variable predictions applicable to the realistic experimental arrangement are obtained by a generalization of a previous theorem of Bell. Quantum mechanical predictions for the same experimental situation are calculated for two cases: a J = 0 + J = 1 + J = 0 and a J = 1 + J = 1 + J = 0 electric dipole cascade. For both cascades, it is shown that the quantum mechanical and the DLHV predictions are in sufficient disagreement for an actual experimental test to be possible. Restrictions on detector solid angle and polarizer efficiency, necessary to obtain a decisive experiment, are explicitly given. The Einstein, Podolsky, and Rosen argument for the existence of a DLHV theory is reviewed.
Not only are the foundation theories mutually compatible, they are also compatible with local realism once this concept is properly formulated (without presuming atomism in addition to locality). Relativity Theory is reconstructed in the context of a preferred frame, but so as to secure the Relativity Principle in every experiment except the measurement of the preferred frame, defined by a null result for the dipole component of the Microwave Background Radiation (MBR). The 3D soliton approach to physical modelling is found to be consistent with both Special Relativity and Quantum Mechanical Nonlocality, exemplified by the EPR paradox.