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Nonlocality in quantum theory understood in terms of Einstein's nonlinear field approach

D. Bohm & B. J. Hiley

Foundations of Physics 11 (7-8):529-546 (1981)

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A Time-Symmetric Soliton Dynamics à la de Broglie.Aurélien Drezet - 2023 - Foundations of Physics 53 (4):1-36.details In this work we develop a time-symmetric soliton theory for quantum particles inspired from works by de Broglie and Bohm. We consider explicitly a non-linear Klein–Gordon theory leading to monopolar oscillating solitons. We show that the theory is able to reproduce the main results of the pilot-wave interpretation for non interacting particles in a external electromagnetic field. In this regime, using the time symmetry of the theory, we are also able to explain quantum entanglement between several solitons and we reproduce (...) Download Export citation Bookmark
The de Broglie pilot wave theory and the further development of new insights arising out of it.D. J. Bohm & B. J. Hiley - 1982 - Foundations of Physics 12 (10):1001-1016.details We briefly review the history of de Broglie's notion of the “double solution” and of the ideas which developed from this. We then go on to an extension of these ideas to the many-body system, and bring out the nonlocality implied in such an extension. Finally, we summarize further developments that have stemmed from de Broglie's suggestions. Download Export citation Bookmark 7 citations
On the relation between the Einstein-Podolsky-Rosen paradox and the problem of nonlocality in quantum mechanics.Willem M. de Muynck - 1986 - Foundations of Physics 16 (10):973-1002.details The EPR problem is studied both from an instrumentalistic and from a realistic point of view. Bohr's reply to the EPR paper is analyzed and demonstrated to be not completely representative of Bohr's general views on the possibility of defining properties of a microscopic object. A more faithful Bohrian answer would not have led Einstein to the conclusion that Bohr's completeness claim of quantum mechanics implies nonlocality. The projection postulate, already denounced in 1936 by Margenau as the source of the (...) Download Export citation Bookmark 5 citations
Nonlocality and Gleason's lemma. Part 2. Stochastic theories.Andrew Elby - 1990 - Foundations of Physics 20 (11):1389-1397.details I derive a Gleason-type contradiction from assumptions weaker than those needed to reach a Bell inequality. By establishing the inconsistency between local realism and QM's perfect EPR-type anticorrelations, the proof fills in a gap left open by Bell arguments. Download Export citation Bookmark 7 citations
The Bell Theorem as a Special Case of a Theorem of Bass.Karl Hess & Walter Philipp - 2005 - Foundations of Physics 35 (10):1749-1767.details The theorem of Bell states that certain results of quantum mechanics violate inequalities that are valid for objective local random variables. We show that the inequalities of Bell are special cases of theorems found 10 years earlier by Bass and stated in full generality by Vorob’ev. This fact implies precise necessary and sufficient mathematical conditions for the validity of the Bell inequalities. We show that these precise conditions differ significantly from the definition of objective local variable spaces and as an (...) Download Export citation Bookmark 4 citations
De Broglie's wave particle duality in the stochastic interpretation of quantum mechanics: A testable physical assumption. [REVIEW]Ph Gueret & J. -P. Vigier - 1982 - Foundations of Physics 12 (11):1057-1083.details If one starts from de Broglie's basic relativistic assumptions, i.e., that all particles have an intrinsic real internal vibration in their rest frame, i.e., hv 0 =m 0 c 2 ; that when they are at any one point in space-time the phase of this vibration cannot depend on the choice of the reference frame, then, one can show (following Mackinnon (1) ) that there exists a nondispersive wave packet of de Broglie's waves which can be assimilated to the nonlinear (...) Download Export citation Bookmark 4 citations

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