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  1.  83
    The Quantum Potential and Signalling in the Einstein-Podolsky-Rosen Experiment.P. R. Holland & J. P. Vigier - 1988 - Foundations of Physics 18 (7):741-750.
    According to the causal interpretation of quantum mechanics, one can precisely define the state of an individual particle in a many-body system by its position, momentum, and spin. It is shown in the EPR spin experiment that the quantum torque brings about an instantaneous change in the state of one of the particles when the other undergoes a local interaction, but that such a transfer of “information” cannot be extracted by any experiment subject to the laws of quantum mechanics.
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  2.  89
    Trajectories and Causal Phase-Space Approach to Relativistic Quantum Mechanics.P. R. Holland, A. Kyprianidis & J. P. Vigier - 1987 - Foundations of Physics 17 (5):531-548.
    We analyze phase-space approaches to relativistic quantum mechanics from the viewpoint of the causal interpretation. In particular, we discuss the canonical phase space associated with stochastic quantization, its relation to Hilbert space, and the Wigner-Moyal formalism. We then consider the nature of Feynman paths, and the problem of nonlocality, and conclude that a perfectly consistent relativistically covariant interpretation of quantum mechanics which retains the notion of particle trajectory is possible.
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  3.  71
    Einstein-Podolsky-Rosen Constraints on Quantum Action at a Distance: The Sutherland Paradox. [REVIEW]N. Cufaro-Petroni, C. Dewdney, P. R. Holland, A. Kyprianidis & J. P. Vigier - 1987 - Foundations of Physics 17 (8):759-773.
    Assuming that future experiments confirm Aspect's discovery of nonlocal interactions between quantum pairs of correlated particles, we analyze the constraints imposed by the EPR reasoning on the said interactions. It is then shown that the nonlocal relativistic quantum potential approach plainly satisfies the Einstein causality criteria as well as the energy-momentum conservation in individual microprocesses. Furthermore, this approach bypasses a new causal paradox for timelike separated EPR measurements deduced by Sutherland in the frame of an approach by means of space-time (...)
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  4.  20
    Possible Test of the Reality of Superluminal Phase Waves and Particle Phase Space Motions in the Einstein-de Broglie-Bohm Causal Stochastic Interpretation of Quantum Mechanics.J. P. Vigier - 1994 - Foundations of Physics 24 (1):61-83.
    Recent double-slit type neutron experiments (1) and their theoretical implications (2) suggest that, since one can tell through which slit the individual neutrons travel, coherent wave packets remain nonlocally coupled (with particles one by one), even in the case of wide spatial separation. Following de Broglie's initial proposal, (3) this property can be derived from the existence of the persisting action of real superluminal physical phase waves considered as building blocks of the real subluminal wave field packets which surround individual (...)
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  5.  17
    De Broglian Probabilities in the Double-Slit Experiment.M. Božić, Z. Marić & J. P. Vigier - 1992 - Foundations of Physics 22 (11):1325-1344.
    A new probability interpretation of interference phenomena in the double-slit experiment is proposed. It differs from the standard interpretation (based on elementary events happening in complementary, mutually exclusive setups—arrivals of waves to the screen when one of the slits is closed) which encounters the “paradox” that the law of total probability is violated. This new interpretation is free of such difficulties and paradoxes since it is based on compatible elementary events (events happening in the same setup in which happenall events (...)
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  6.  39
    Operator Derivation of the Gauge-Invariant Proca and Lehnert Equations; Elimination of the Lorenz Condition.P. K. Anastasovski, T. E. Bearden, C. Ciubotariu, W. T. Coffey, L. B. Crowell, G. J. Evans, M. W. Evans, R. Flower, A. Labounsky, B. Lehnert, P. R. Molnár, S. Roy & J. P. Vigier - 2000 - Foundations of Physics 30 (7):1123-1129.
    Using covariant derivatives and the operator definitions of quantum mechanics, gauge invariant Proca and Lehnert equations are derived and the Lorenz condition is eliminated in U(1) invariant electrodynamics. It is shown that the structure of the gauge invariant Lehnert equation is the same in an O(3) invariant theory of electrodynamics.
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  7.  37
    From Descartes and Newton to Einstein and de Broglie.J. P. Vigier - 1993 - Foundations of Physics 23 (1):1-4.
  8.  13
    Time-Dependent Neutron Interferometry: Evidence Against Wave Packet Collapse? [REVIEW]C. Dewdney, A. Garuccio, Ph Gueret, A. Kyprianidis & J. P. Vigier - 1985 - Foundations of Physics 15 (10):1031-1042.
    If the energy-absorbing radio-frequency spin-flipping device used in perfect crystal neutron interferometry is an intermediate measuring device, then the experimental results contradict the associated wave packet collapse and support the real existence of the de Broglie pilot waves in both arms while the neutron travels in only one.
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  9.  22
    Relativistic Interpretation (with Non-Zero Photon Mass) of the Small Ether Drift Velocity Detected by Michelson, Morley and Miller.J. P. Vigier - 1997 - Apeiron 4 (2-3):71-76.
  10.  7
    David Joseph Bohm: 1917–1992. [REVIEW]P. R. Holland & J. P. Vigier - 1993 - Foundations of Physics 23 (1):5-6.
  11. Fundamental Problems in Quantum Physics.J. P. Vigier - 1995 - Apeiron 2 (4):1995.
     
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  12. Nuovo Cimento Lett. 24, 258 (1979).J. P. Vigier - 1986 - In Daniel M. Greenberger (ed.), New Techniques and Ideas in Quantum Measurement Theory. New York Academy of Sciences.
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