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arxiv: 2603.23065 · v3 · submitted 2026-03-24 · 🪐 quant-ph

Geometric Structure of Bell Correlations in Bohmian Mechanics: A Configuration-Space Analysis of EPR Experiments

Tim Dartois , Signe Seidelin , Aur\'elien Drezet This is my paper

Pith reviewed 2026-05-15 00:47 UTC · model grok-4.3

classification 🪐 quant-ph
keywords Bohmian mechanicsBell correlationsconfiguration spaceEPR experimentsno-signalingStern-Gerlach modelhidden variablesquantum foundations
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The pith

Bell correlations arise from the geometry of partitions in the configuration space of Bohmian particles.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper builds a model of EPR-Bell experiments inside de Broglie-Bohm theory in which every joint outcome is fixed by the particles' initial positions. This mapping carves the full configuration space into separate domains, one for each possible pair of results. The boundaries of those domains move when either particle's measurement setting changes, generating the observed correlations. At the same time the probability for each particle to give a particular result stays unchanged no matter what setting is chosen far away, so no signal can be sent. Numerical runs confirm the domain shapes predicted by the model.

Core claim

In the configuration-space formulation, joint measurement outcomes arise from a deterministic mapping from initial particle configurations to outcome pairs. This induces a partition of the hidden-variable configuration space into domains associated with the different measurement outcomes. Bell correlations emerge from the geometry of these partitions: the domain boundaries depend nonlocally on the measurement settings, while the marginal outcome distributions remain invariant, providing a direct dynamical realization of no-signaling.

What carries the argument

The partitions of hidden-variable configuration space into outcome domains, whose boundaries are the separatrices produced by the reduced-dimensional Stern-Gerlach measurement dynamics.

If this is right

  • The nonlocal shift of domain boundaries with both settings accounts for Bell-inequality violations while preserving no-signaling at the level of single-particle statistics.
  • Trajectory evolution and the resulting statistics are connected through the same measurement-induced partitions of configuration space.
  • Numerical simulations reproduce the predicted domain geometry to quantitative accuracy.
  • The construction supplies a single framework that joins particle trajectories, the measurement process, and the observed statistics.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Analogous geometric partitions may exist in any deterministic configuration-space theory that reproduces quantum statistics.
  • The same domain-construction technique could be applied to other Bell-type scenarios to visualize how correlations are generated without signaling.
  • Generalization to three or more particles would test whether the nonlocal boundary dependence continues to hold and still respects no-signaling.

Load-bearing premise

The reduced-dimensional Stern-Gerlach model accurately captures the essential configuration-space dynamics of real EPR-Bell experiments.

What would settle it

An analytical or numerical result in which the domain boundaries fail to depend on both distant settings simultaneously, or in which the marginal distributions change when the distant setting is altered, would falsify the central claim.

Figures

Figures reproduced from arXiv: 2603.23065 by Aur\'elien Drezet, Signe Seidelin, Tim Dartois.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic of the EPR–Bell experiment considered in this work. A source [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. DBB trajectories in the EPR–Bell pilot-wave model for three [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Bell–CHSH parameter for the EPR–Bell pilot-wave simu [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗
read the original abstract

We develop an explicit configuration-space formulation of EPR-Bell experiments within the framework of de Broglie-Bohm theory, in which joint measurement outcomes arise from a deterministic mapping from initial particle configurations to outcome pairs. This construction induces a partition of the hidden-variable configuration space into domains associated with the different measurement outcomes. Using a reduced-dimensional Stern-Gerlach model, we derive the structure of these domains and identify the corresponding separatrices that define their boundaries. We show that Bell correlations emerge from the geometry of these partitions: the domain boundaries depend nonlocally on the measurement settings, while the marginal outcome distributions remain invariant, providing a direct dynamical realization of no-signaling. Analytical results are supported by numerical simulations, which exhibit quantitative agreement with the predicted domain structure as a consequence of the underlying partition of configuration space induced by the measurement dynamics. This approach provides an explicit configuration-space representation of nonlocal correlations in Bohmian mechanics, linking trajectory dynamics, measurement processes, and statistical predictions within a unified framework.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 1 minor

Summary. The manuscript develops an explicit configuration-space formulation of EPR-Bell experiments within de Broglie-Bohm theory. Joint outcomes are obtained via a deterministic mapping from initial particle configurations, inducing a partition of the hidden-variable space into domains labeled by measurement outcomes. Using a reduced-dimensional Stern-Gerlach model, the authors derive the structure of these domains and their separatrices. They claim that Bell correlations arise geometrically because the domain boundaries depend nonlocally on the measurement settings while the marginal outcome distributions remain invariant, thereby furnishing a dynamical realization of no-signaling. Analytical results are asserted to be confirmed by numerical simulations that exhibit quantitative agreement with the predicted partition structure.

Significance. If the geometric analysis is sound, the work supplies a concrete, configuration-space picture of how nonlocal correlations are generated in Bohmian mechanics without violating no-signaling. By connecting trajectory dynamics, the measurement process, and the resulting statistics through an explicit partition of configuration space, it strengthens the conceptual toolkit for understanding Bell violations in pilot-wave theory.

major comments (1)
  1. [Abstract] Abstract: The central claim that Bell correlations emerge from the geometry of setting-dependent partitions rests on the reduced-dimensional Stern-Gerlach model preserving the essential nonlocal couplings and separatrix topology of the full 6N-dimensional configuration space. The abstract provides no equations for the model, no justification for the dimensional truncation, and no verification that the reported nonlocal boundary dependence survives the reduction; without these details the geometric realization cannot be assessed as generic rather than an artifact of the truncation.
minor comments (1)
  1. The abstract states that numerical simulations exhibit 'quantitative agreement' with the predicted domain structure but does not specify the comparison metrics, error analysis, or data-exclusion criteria; adding these would improve clarity.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive feedback. We respond to the major comment as follows and have revised the manuscript accordingly.

read point-by-point responses

  1. Referee: The central claim that Bell correlations emerge from the geometry of setting-dependent partitions rests on the reduced-dimensional Stern-Gerlach model preserving the essential nonlocal couplings and separatrix topology of the full 6N-dimensional configuration space. The abstract provides no equations for the model, no justification for the dimensional truncation, and no verification that the reported nonlocal boundary dependence survives the reduction; without these details the geometric realization cannot be assessed as generic rather than an artifact of the truncation.

    Authors: We agree that the original abstract was too concise and omitted key details needed to substantiate the central claim. In the revised manuscript we have expanded the abstract to include a brief description of the reduced-dimensional Stern-Gerlach model, the rationale for the truncation (that it retains the nonlocal inter-particle couplings and the topology of the relevant separatrices while lowering computational cost), and an explicit statement that the nonlocal setting dependence of the domain boundaries survives the reduction, as established analytically and confirmed by the numerical simulations reported in the main text. These additions make clear that the geometric structure is a generic feature of the Bohmian configuration-space dynamics rather than an artifact of the model choice. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation follows from explicit model construction

full rationale

The paper constructs an explicit reduced-dimensional Stern-Gerlach model within de Broglie-Bohm theory, derives domain partitions and separatrices directly from the deterministic trajectory mapping, and shows that Bell correlations and no-signaling follow as geometric consequences of setting-dependent boundaries with invariant marginals. No parameter fitting is invoked to generate the correlations, no self-citation chain is load-bearing for the central claim, and the numerical simulations are presented as direct verification of the model's own partition structure rather than an independent test. The derivation chain remains self-contained against the chosen model assumptions.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the standard axioms of de Broglie-Bohm theory together with the validity of the reduced-dimensional measurement model; no free parameters, new entities or ad-hoc assumptions are introduced in the abstract.

axioms (1)
  • domain assumption Particle trajectories in Bohmian mechanics are deterministic and guided by the wave function
    Invoked to define the mapping from initial configurations to definite measurement outcomes.

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Reference graph

Works this paper leans on

75 extracted references · 75 canonical work pages

  1. [1]

    velocity

    In this regime, the outgoing wave function has two spin components: ΨΨΨ(z,t) =c +ΨΨΨ+(z,t) +c −ΨΨΨ−(z,t),(7) 4 S e− Alice e− Bob +(up) −(down) SGz–Alice −⃗∇Bz +(up) −(down) SGz–Bob −⃗∇Bz Coil–Bob(β)Coil–Alice(α) y z FIG. 1. Schematic of the EPR–Bell experiment considered in this work. A sourceSemits two spin-entangled particles prepared in a singlet state...

    work page 2000

  2. [2]

    +” and “−

    Hidden-variable representation of outcomes In our EPR–Bell-type experiment, the initial conditions are generated as follows. We first draw a point(r,θ)uniformly on the unit disk. This point is then transformed to obtain the initial conditions(z A(t=0),z B(t=0))that determine the dy- 10 namics. The transformation, via the bijectionF, is (zA(t=0),z B(t=0)) ...

    work page

  3. [3]

    Finally, we offered an illustration of the no-signaling the- orem in this context

    These results provide an explicit illustration of how a deterministic hidden-variable theory with nonlocal dy- namics can reproduce EPR–Bell quantum correlations. Finally, we offered an illustration of the no-signaling the- orem in this context. By representing the initial conditions on the unit disk, which is in bijection with the space of po- sitions(z ...

    work page

  4. [4]

    Laloë,Do We Really Understand Quantum Mechanics? (2 nd edition)(Cambridge University Press, London, UK, 2019)

    F. Laloë,Do We Really Understand Quantum Mechanics? (2 nd edition)(Cambridge University Press, London, UK, 2019)

    work page 2019

  5. [5]

    La nouvelle dynamique des quanta,

    L. de Broglie, “La nouvelle dynamique des quanta,” inÉlec- trons et photons: Rapports et discussions du cinquième Con- seil de physique Solvay (1927), Gauthier-Villars, Paris (1928), pp. 105–132

    work page 1927

  6. [6]

    Can quantum- mechanical description of physical reality be considered com- plete?

    A. Einstein, B. Podolsky, and N. Rosen, “Can quantum- mechanical description of physical reality be considered com- plete?”Phys. Rev.47, 777–780 (1935)

    work page 1935

  7. [7]

    A suggested interpretation of the quantum theory in terms of ‘hidden’ variables. I,

    D. Bohm, “A suggested interpretation of the quantum theory in terms of ‘hidden’ variables. I,”Phys. Rev.85, 166–179 (1952)

    work page 1952

  8. [8]

    Dürr and S

    D. Dürr and S. Teufel,Bohmian Mechanics: The Physics and Mathematics of Quantum Theory(Springer, Heidelberg, 2010)

    work page 2010

  9. [9]

    Holland,The Quantum Theory of Motion(Cambridge Uni- versity Press, London, UK, 1993)

    P. Holland,The Quantum Theory of Motion(Cambridge Uni- versity Press, London, UK, 1993)

    work page 1993

  10. [10]

    Dürr and D

    D. Dürr and D. Lazarovici,Understanding Quantum Mechanics (Springer Nature, Cham, 2020)

    work page 2020

  11. [11]

    Norsen,Foundations of quantum mechanics: An exploration of the physical meaning of quantum theory(Springer Nature, Cham 2017)

    T. Norsen,Foundations of quantum mechanics: An exploration of the physical meaning of quantum theory(Springer Nature, Cham 2017)

    work page 2017

  12. [12]

    Remarques sur la théorie de l’onde pilote,

    L. de Broglie, “Remarques sur la théorie de l’onde pilote,”C. R. Acad. Sci. Paris233, 641–644 (1951)

    work page 1951

  13. [13]

    A suggested interpretation of the quantum theory in terms of ‘hidden’ variables. II,

    D. Bohm, “A suggested interpretation of the quantum theory in terms of ‘hidden’ variables. II,”Phys. Rev.85, 180–193 (1952)

    work page 1952

  14. [14]

    DBB theory is often referred to as Bohmian mechanics in the literature [5, 7]

    work page

  15. [15]

    On the Einstein–Podolsky–Rosen paradox,

    J. S. Bell, “On the Einstein–Podolsky–Rosen paradox,”Physics Physique Fizika1, 195–200 (1964); reprinted in Ref. [13], pp. 14–21

    work page 1964

  16. [16]

    J. S. Bell,Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 2004)

    work page 2004

  17. [17]

    Bohm,Quantum Theory(Prentice-Hall, New York, 1951), pp

    D. Bohm,Quantum Theory(Prentice-Hall, New York, 1951), pp. 583–623

    work page 1951

  18. [18]

    The theory of local beables,

    J. S. Bell, “The theory of local beables,”Epistemological Let- ters9, 11–24 (1976); reprinted in Ref. [13], pp. 52–56

    work page 1976

  19. [19]

    La nouvelle cuisine,

    J. S. Bell, “La nouvelle cuisine,” inBetween Science and Tech- nology, edited by A. Sarlemijn and P. Kroes (Elsevier, Amster- dam, 1990); reprinted in Ref. [13], pp. 232–248

    work page 1990

  20. [20]

    Pro- posed experiment to test local hidden-variable theories,

    J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Pro- posed experiment to test local hidden-variable theories,”Phys. Rev. Lett.23, 880–884 (1969)

    work page 1969

  21. [21]

    Experimental test of local hidden-variable theories,

    S. J. Freedman and J. F. Clauser, “Experimental test of local hidden-variable theories,”Phys. Rev. Lett.28, 938–941 (1972)

    work page 1972

  22. [22]

    Experimental test of Bell’s inequalities using time-varying analyzers,

    A. Aspect, J. Dalibard, and G. Roger, “Experimental test of Bell’s inequalities using time-varying analyzers,”Phys. Rev. Lett.49, 1804–1807 (1982)

    work page 1982

  23. [23]

    Accurate verification of Bell’s theorem actually requires clos- ing several technical loopholes, including ‘locality’ [19, 21], ‘detection’ [22], and ‘free choice’ [23]

    work page

  24. [24]

    Violation of Bell’s inequality under strict Ein- stein locality conditions,

    G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, “Violation of Bell’s inequality under strict Ein- stein locality conditions,”Phys. Rev. Lett.81, 5039–5043 (1998)

    work page 1998

  25. [25]

    Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometers,

    B. Hensenet al., “Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometers,”Nature526, 682– 686 (2015)

    work page 2015

  26. [26]

    Cosmic Bell test: Measurement settings from Milky Way stars,

    J. Handsteineret al., “Cosmic Bell test: Measurement settings from Milky Way stars,”Phys. Rev. Lett.118, 060401 (2017)

    work page 2017

  27. [27]

    The lat- ter is generally considered unlikely

    Strictly speaking, what is violated is the joint property of lo- cal causality and the absence of ‘superdeterminism’. The lat- ter is generally considered unlikely. Similarly, we note that in the literature, the non-consensual term impossiblity of ‘local- realism’ is sometimes used to refer to Bell’s theorem, imply- ing that quantum mechanics could ultima...

    work page

  28. [28]

    J. S. Bell’s concept of local causality,

    T. Norsen, “J. S. Bell’s concept of local causality,”Am. J. Phys. 79, 1261–1275 (2011)

    work page 2011

  29. [29]

    Against realism,

    T. Norsen, “Against realism,”Found. Phys.37, 311–340 (2007)

    work page 2007

  30. [30]

    What Bell did,

    T. Maudlin, “What Bell did,”J. Phys. A47, 424010 (2014)

    work page 2014

  31. [31]

    How and when did locality become ‘local real- ism’?,

    F. Laudisa, “How and when did locality become ‘local real- ism’?,”Stud. Hist. Phil. Sci.97, 44–57 (2023)

    work page 2023

  32. [32]

    Local causality in the works of Einstein, Bohm and Bell,

    A. Drezet, “Local causality in the works of Einstein, Bohm and Bell,” inGuiding Waves in Quantum Mechanics, edited by A. Oldofredi (Oxford University Press, Oxford, 2025), pp. 269– 280

    work page 2025

  33. [33]

    [34, 35])

    Numerous works illustrate the dBB nonlocality without involv- ing spin particles [8, 10, 31–33], or even without directly using the EPR theorem (e.g. [34, 35])

    work page

  34. [34]

    Locality and nonlocality in corre- lated two-particle interferometry,

    M.M. Lam, C. Dewdney, “Locality and nonlocality in corre- lated two-particle interferometry,”Phys. Lett. A150, 127–135 (1990)

    work page 1990

  35. [35]

    Albert,Quantum Mechanics and Experience(Harvard University Press, Harvard, 1993)

    D.Z. Albert,Quantum Mechanics and Experience(Harvard University Press, Harvard, 1993)

    work page 1993

  36. [36]

    Bricmont,Making Sense of Quantum Mechanics(Springer, Cham, 2016)

    J. Bricmont,Making Sense of Quantum Mechanics(Springer, Cham, 2016)

    work page 2016

  37. [37]

    A geometric approach to nonlocality in the Bohm model of quantum mechanics,

    D.A. Rice, “A geometric approach to nonlocality in the Bohm model of quantum mechanics,”Am. J. Phys.65, 144–147 (1997)

    work page 1997

  38. [38]

    Englert, M.O

    B.-G. Englert, M.O. Scully, G. Süssmann, and H. Walther,Z. Naturforsch.47a, 1175–1186 (1992)

    work page 1992

  39. [39]

    A causal ac- count of nonlocal Einstein–Podolsky–Rosen spin correlations,

    C. Dewdney, P. R. Holland, and A. Kyprianidis, “A causal ac- count of nonlocal Einstein–Podolsky–Rosen spin correlations,” J. Phys. A20, 4717–4732 (1987)

    work page 1987

  40. [40]

    Spin and nonlocality in quantum mechanics,

    C. Dewdney, P. R. Holland, A. Kyprianidis, and J.-P. Vigier, “Spin and nonlocality in quantum mechanics,”Nature336, 536–544 (1988)

    work page 1988

  41. [41]

    The pilot-wave perspective on spin,

    T. Norsen, “The pilot-wave perspective on spin,”Am. J. Phys. 82, 337–348 (2014)

    work page 2014

  42. [42]

    Replacing the singlet spinor of the EPR-B experiment in configuration space with two single- particle spinors in physical space,

    M. Gondran and A. Gondran, “Replacing the singlet spinor of the EPR-B experiment in configuration space with two single- particle spinors in physical space,”Found. Phys.46, 1109–1126 (2016)

    work page 2016

  43. [43]

    Rekindling of de Broglie–Bohm pilot-wave the- ory in the late twentieth century: A personal account,

    C. Dewdney, “Rekindling of de Broglie–Bohm pilot-wave the- ory in the late twentieth century: A personal account,”Found. Phys.53, 24 (2023)

    work page 2023

  44. [44]

    Observing the average tra- 13 jectories of single photons in a two-slit interferometer,

    S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average tra- 13 jectories of single photons in a two-slit interferometer,”Science 332, 1170–1173 (2011)

    work page 2011

  45. [45]

    Test of Nonlocal En- ergy Alteration between Two Quantum Memories,

    J.-P. Dou, F. Lu, H. Tang, and X.-M. Jin, “Test of Nonlocal En- ergy Alteration between Two Quantum Memories,”Phys. Rev. Lett.134, 093601 (2025)

    work page 2025

  46. [46]

    Experi- mental nonlocal and surreal Bohmian trajectories,

    D. H. Mahler, L. A. Rozema, K. Fisher, L. Vermeyden, K. J. Resch, H. M. Wiseman, and A. M. Steinberg, “Experi- mental nonlocal and surreal Bohmian trajectories,”Sci. Adv.2, e1501466 (2016)

    work page 2016

  47. [47]

    Verification of coherent spinor rotation of fermions,

    H. Rauch, A. Zeilinger, G. Badurek, A. Wilfing, W. Baus- piess, and U. Bonse, “Verification of coherent spinor rotation of fermions,”Phys. Lett. A54, 425–427 (1975)

    work page 1975

  48. [48]

    Signal-locality, uncertainty, and the subquantum H-theorem. II,

    A. Valentini, “Signal-locality, uncertainty, and the subquantum H-theorem. II,”Phys. Lett. A158, 1–8 (1991)

    work page 1991

  49. [49]

    Signal-locality in hidden-variables theories,

    A. Valentini, “Signal-locality in hidden-variables theories,” Phys. Lett. A297, 273–278 (2002)

    work page 2002

  50. [50]

    Der experimentelle Nachweis der Richtungsquantelung im Magnetfeld,

    W. Gerlach and O. Stern, “Der experimentelle Nachweis der Richtungsquantelung im Magnetfeld,”Z. Phys.9, 349–352 (1922)

    work page 1922

  51. [51]

    The theoretical description of the Stern-Gerlach experiment played a major role in the development and mathematical for- mulation of the orthodox interpretation of quantum measure- ment since Kennard [49] (who was a pioneer of dBB theory), von Neumann [50], London and Bauer [51], or Bohm [14]

    work page

  52. [52]

    On the quantum theory of a system of parti- cles,

    E. H. Kennard, “On the quantum theory of a system of parti- cles,”Phys. Rev.31, 876–890 (1928)

    work page 1928

  53. [53]

    von Neumann,Mathematische Grundlagen der Quanten- mechanik(Springer, Berlin, 1932); Reprinted asMathemati- cal Foundations of Quantum Mechanics(Princeton University Press, 2018)

    J. von Neumann,Mathematische Grundlagen der Quanten- mechanik(Springer, Berlin, 1932); Reprinted asMathemati- cal Foundations of Quantum Mechanics(Princeton University Press, 2018)

    work page 1932

  54. [54]

    London, E

    F. London, E. Bauer,La théorie de l’observation en mécanique quantique(Hermann, Paris, 1939)

    work page 1939

  55. [55]

    A causal interpretation of the Pauli equation (A),

    D. Bohm, R. Schiller, and J. Tiomno, “A causal interpretation of the Pauli equation (A),”Nuovo Cimento Suppl.1, 48–66 (1955)

    work page 1955

  56. [56]

    A causal interpretation of the Pauli equation (B),

    D. Bohm and R. Schiller, “A causal interpretation of the Pauli equation (B),”Nuovo Cimento Suppl.1, 67–91 (1955)

    work page 1955

  57. [57]

    The influence of the spin current on trajectories is discussed in Refs. [55–58]. The empirical equivalence with regard to quan- tum statistics is subject to a recent controversy related to the notion of arrival time [59–61], which we will not address here

    work page

  58. [58]

    What is spin?

    H.C. Ohanian, “What is spin?”Am. J. Phys.54, 500–505 (1986)

    work page 1986

  59. [59]

    Virtual probablity current associated with spin,

    K. Mita, “Virtual probablity current associated with spin,”Am. J. Phys.68, 259–264 (2000)

    work page 2000

  60. [60]

    Electron spin and probability current density in quantum mechanics,

    W.B. Hodge, S.V . Migirdith, W.C. Kerr, “Electron spin and probability current density in quantum mechanics,”Am. J. Phys. 82, 681–690 (2014)

    work page 2014

  61. [61]

    Implications of Lorentz co- variance for the guidance equation in two-slit quantum interfer- ence,

    P.R. Holland, and C. Philippidis, “Implications of Lorentz co- variance for the guidance equation in two-slit quantum interfer- ence,”Phys. Rev. A67, 062105 (2003)

    work page 2003

  62. [62]

    Arrival time distributions of spin-1/2 par- ticles,

    S. Das and D. Dürr, “Arrival time distributions of spin-1/2 par- ticles,”Scientific Reports9, 2242 (2019)

    work page 2019

  63. [63]

    Arrival times versus de- tection times,

    S. Goldstein, R. Tumulka, N. Zanghì, “Arrival times versus de- tection times,”Found. Phys.54, 63 (2024)

    work page 2024

  64. [64]

    Arrival time and Bohmian Mechanics: It is the the- ory which decides what we can measure

    A. Drezet, “Arrival time and Bohmian Mechanics: It is the the- ory which decides what we can measure”,Symmetry.16, 1325 (2024)

    work page 2024

  65. [65]

    On the problem of hidden variables in quantum mechanics,

    J. S. Bell, “On the problem of hidden variables in quantum mechanics,”Rev. Mod. Phys.38, 447–452 (1966); reprinted in Ref. [13]

    work page 1966

  66. [66]

    What happens in a spin measurement?

    C. Dewdney, P. R. Holland, and A. Kyprianidis, “What happens in a spin measurement?”,Phys. Lett. A119, 259–267 (1986)

    work page 1986

  67. [67]

    It should be noted that this type of spin-flipper analysis played a role in experiments analyzing quantum measurement theory and Bohr’s complementarity in a Bohmian framework [65–67]

    work page

  68. [68]

    Causal stochastic interpretation of quantum statis- tics

    J.P. Vigier, “Causal stochastic interpretation of quantum statis- tics”,Pramana25, 397–418 (1985)

    work page 1985

  69. [69]

    Neutron interferomet- ric double-resonance experiment

    G. Badurek, H. Rauch, D. Tuppinger, “Neutron interferomet- ric double-resonance experiment”,Phys. Rev. A34, 2600–2608 (1986)

    work page 1986

  70. [70]

    Proposed neutron interferometry test of Einstein’s ‘Einweg’ assumption in the Bohr—Einstein contro- versy

    H. Rauch, J.P. Vigier, “Proposed neutron interferometry test of Einstein’s ‘Einweg’ assumption in the Bohr—Einstein contro- versy”,Phys. Lett. A151, 269–275 (1990)

    work page 1990

  71. [71]

    General state changes in quantum theory

    K. Kraus, “General state changes in quantum theory”,Ann. Phys.64, 311–315 (1971)

    work page 1971

  72. [72]

    Quantum information and relativity theory,

    A. Peres and D. R. Terno, “Quantum information and relativity theory,”Rev. Mod. Phys.76, 93–123 (2004)

    work page 2004

  73. [73]

    The theory of local beables,

    The first discussion of the nonsignaling theorem dates back to an article by J. Bell, “The theory of local beables,”Epistemo- logical Letters, March 1976, reprinted in Ref. [13], pp. 52–62

    work page 1976

  74. [74]

    Bell’s theorem and the different concept of lo- cality,

    P.H. Eberhard, “Bell’s theorem and the different concept of lo- cality,”Il Nuovo Cimento46B, 392–419 (1978)

    work page 1978

  75. [75]

    A general argument against superluminal transmission through the quantum me- chanical measurement process,

    G.C. Ghirardi, A. Rimini, T. Weber, “A general argument against superluminal transmission through the quantum me- chanical measurement process,”Lettere al Nuovo Cimento27, 293–298 (1980)

    work page 1980