The DOI matches its Crossref record; 13 of the 14 references it cites were found in a registry or an index.
Signal-locality, uncertainty, and the subquantum H-theorem. II
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
Bohm, D. (1952) · Physical Review · doi:10.1103/physrev.85.166 · Cited by 5,510
Speakable and Unspeakable in Quatum Mechanics
Bell, J. S., & Mermin, N. D. (1988) · Physics Today · doi:10.1063/1.2811599 · Cited by 2,985
Speakable and unspeakable in quantum mechanics
Whitaker, M. A. B. (1988) · Endeavour · doi:10.1016/0160-9327(88)90092-0 · Cited by 2,228
A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. II
Bohm, D. (1952) · Physical Review · doi:10.1103/physrev.85.180 · Cited by 2,052
Model of the Causal Interpretation of Quantum Theory in Terms of a Fluid with Irregular Fluctuations
Böhm, D., & Vigier, J. P. (1954) · Physical Review · doi:10.1103/physrev.96.208 · Cited by 609
An ontological basis for the quantum theory
Böhm, D., Hiley, B. J., & Kaloyerou, P. N. (1987) · Physics Reports · doi:10.1016/0370-1573(87)90024-x · Cited by 443
Signal-locality, uncertainty, and the subquantum H-theorem. I
Valentini, A. (1990) · Physics Letters A · doi:10.1016/0375-9601(91)90116-p · Cited by 260
Self-citationFLASH?A superluminal communicator based upon a new kind of quantum measurement
Herbert, N. (1982) · Foundations of Physics · doi:10.1007/bf00729622 · Cited by 228
Proof That Probability Density Approaches |ψ|2 in Causal Interpretation of the Quantum Theory
Böhm, D. (1953) · Physical Review · doi:10.1103/physrev.89.458 · Cited by 226
Waldram, J. R. (1985) · CERN Document Server (European Organization for Nuclear Research) · Cited by 168
Cited by
Sorted by citations
Wood, C. J., & Spekkens, R. W. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/3/033002 · Cited by 369
Dynamical origin of quantum probabilities
Valentini, A., & Westman, H. (2005) · Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2004.1394 · Cited by 226
Self-citationGrounding Bohmian mechanics in weak values and bayesianism
Wiseman, H. M. (2007) · New Journal of Physics · doi:10.1088/1367-2630/9/6/165 · Cited by 196
Beisbart, C., & Hartmann, S. (2011) · doi:10.1093/acprof:oso/9780199577439.001.0001 · Cited by 136
Signal-locality in hidden-variables theories
Valentini, A. (2002) · Physics Letters A · doi:10.1016/s0375-9601(02)00438-3 · Cited by 123
Self-citationTime scales for dynamical relaxation to the Born rule
Towler, M. D., Russell, N. J., & Valentini, A. (2011) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2011.0598 · Cited by 123
Self-citationBohmian Mechanics as the Foundation of Quantum Mechanics
Dürr, D., Goldstein, S., & Zanghı̀, N. (1996) · Boston studies in the philosophy of science · doi:10.1007/978-94-015-8715-0_2 · Cited by 109
Inflationary cosmology as a probe of primordial quantum mechanics
Valentini, A. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.063513 · Cited by 110
Self-citationQuantum information theory and the foundations of quantum mechanics
Timpson, C. G., & Brown, H. R. (2013) · Choice Reviews Online · doi:10.5860/choice.51-2726 · Cited by 107
Quantum physics without quantum philosophy
Dürr, D., Goldstein, S., & Zanghı̀, N. (1995) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/1355-2198(95)00009-7 · Cited by 98
The emergence and interpretation of probability in Bohmian mechanics
Callender, C. (2007) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2006.08.004 · Cited by 88
Properties of the trajectories in Bohmian mechanics
Frisk, H. (1997) · Physics Letters A · doi:10.1016/s0375-9601(97)00044-3 · Cited by 76
Gaussian superpositions in scalar-tensor quantum cosmological models
Junior, R. C., Fabris, J. C., & Pinto-Neto, N. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.083507 · Cited by 73
Subquantum information and computation
Valentini, A. (2002) · Pramana · doi:10.1007/s12043-002-0117-1 · Cited by 66
Self-citationProbability out of Determinism
Strevens, M. (2011) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199577439.003.0013 · Cited by 67
NON-RELATIVISTIC QUANTUM MECHANICS
Dickson, M. (2007) · Elsevier eBooks · doi:10.1016/b978-044451560-5/50007-5 · Cited by 67
The vacuum fluctuation theorem: Exact Schrödinger equation via nonequilibrium thermodynamics
Grössing, G. (2008) · Physics Letters A · doi:10.1016/j.physleta.2008.05.007 · Cited by 64
On Galilean and Lorentz invariance in pilot-wave dynamics
Valentini, A. (1997) · Physics Letters A · doi:10.1016/s0375-9601(97)00101-1 · Cited by 63
Self-citationQuantum mechanics, randomness, and deterministic reality
Dürr, D., Goldstein, S., & Zanghì, N. (1992) · Physics Letters A · doi:10.1016/0375-9601(92)90181-k · Cited by 56
Cosmic Microwave Background Constraints Cast a Shadow On Continuous Spontaneous Localization Models
Martin, J., & Vennin, V. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.080402 · Cited by 56
Einstein, Relativity and Absolute Simultaneity
Craig, W. L., & Smith, Q. (2007) · Routledge eBooks · doi:10.4324/9780203700051 · Cited by 63
A minimalist pilot-wave model for quantum electrodynamics
Struyve, W., & Westman, H. (2007) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2007.0144 · Cited by 53
Relativistic quantum mechanics and the Bohmian interpretationPreprint
Nikolić, H. (2004) · Cited by 54
Lorentz-Invariance in Modal Interpretations
Dickson, M., & Clifton, R. (1998) · The Western Ontario series in philosophy of science · doi:10.1007/978-94-011-5084-2_2 · Cited by 53
Astrophysical and cosmological tests of quantum theory
Valentini, A. (2007) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/40/12/s24 · Cited by 53
Self-citationOn the Uniqueness of Quantum Equilibrium in Bohmian Mechanics
Goldstein, S., & Struyve, W. (2007) · Journal of Statistical Physics · doi:10.1007/s10955-007-9354-5 · Cited by 52
Astrophysical and Cosmological Tests of Quantum TheoryPreprint
Valentini, A. (2006) · Cited by 56
Self-citationShtanov, Y. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.54.2564 · Cited by 55
Must quantum spacetimes be Euclidean?
Pinto-Neto, N., & Santini, E. S. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.59.123517 · Cited by 52
The Bohm Interpretation of Quantum Cosmology
Pinto-Neto, N. (2005) · Foundations of Physics · doi:10.1007/s10701-004-2012-8 · Cited by 57
de Broglie–Bohm guidance equations for arbitrary Hamiltonians
Struyve, W., & Valentini, A. (2008) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/42/3/035301 · Cited by 45
Self-citationString dualities and empirical equivalence
Dawid, R. (2016) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2016.06.002 · Cited by 44
The casual interpretation of the electromagnetic field
Kaloyerou, P. N. (1994) · Physics Reports · doi:10.1016/0370-1573(94)90155-4 · Cited by 44
Bacciagaluppi, G. (1999) · Foundations of Physics Letters · doi:10.1023/a:1021622603864 · Cited by 52
An exact determination of the mean dwell time based on the quantum clock of Salecker and Wigner
Leavens, C. R., & McKinnon, W. R. (1994) · Physics Letters A · doi:10.1016/0375-9601(94)00694-k · Cited by 41
Sub-Quantum Thermodynamics as a Basis of Emergent Quantum Mechanics
Grössing, G. (2010) · Entropy · doi:10.3390/e12091975 · Cited by 40
The Bell–Kochen–Specker theorem
Appleby, D. M. (2004) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2004.05.003 · Cited by 38
Exponential divergence of neighboring quantal trajectories
de Polavieja, G. G. (1996) · Physical Review A · doi:10.1103/physreva.53.2059 · Cited by 38
On the Explanation of Born-Rule Statistics in the de Broglie-Bohm Pilot-Wave Theory
Norsen, T. (2018) · Entropy · doi:10.3390/e20060422 · Cited by 43
Bohm trajectory and Feynman path approaches to the “Tunneling time problem”
Leavens, C. R. (1995) · Foundations of Physics · doi:10.1007/bf02055206 · Cited by 37
Inflationary nonsingular quantum cosmological model
Falciano, F. T., Pinto-Neto, N., & Santini, E. S. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.083521 · Cited by 37
Stochasticity and Bell-type quantum field theory
Oldofredi, A. (2018) · Synthese · doi:10.1007/s11229-018-1720-0 · Cited by 35
Interpretation of the hydrodynamical formalism of quantum mechanics
Sonego, S. (1991) · Foundations of Physics · doi:10.1007/bf00734264 · Cited by 35
The Bohm Interpretation of Quantum CosmologyPreprint
Pinto-Neto, N. (2004) · Cited by 45
Bohmian Quantum Gravity and Cosmology
Pinto-Neto, N., & Struyve, W. (2019) · doi:10.1201/9780429294747-11 · Cited by 33
Realism and Underdetermination: Some Clues From the Practices-Up
Cordero, A. (2001) · Philosophy of Science · doi:10.1086/392917 · Cited by 32
Leavens, C. R. (1995) · Physics Letters A · doi:10.1016/0375-9601(94)00900-a · Cited by 32
Romano, D. (2020) · Synthese · doi:10.1007/s11229-020-02737-6 · Cited by 31
Long-time relaxation in pilot-wave theory
Abraham, E., Colin, S., & Valentini, A. (2014) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/47/39/395306 · Cited by 33
Self-citationPrimordial quantum nonequilibrium and large-scale cosmic anomalies
Colin, S., & Valentini, A. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.043520 · Cited by 34
Self-citationUniversal signature of non-quantum systems
Valentini, A. (2004) · Physics Letters A · doi:10.1016/j.physleta.2004.10.002 · Cited by 30
Self-citationRelaxation to quantum equilibrium for Dirac fermions in the de Broglie–Bohm pilot-wave theory
Colin, S. (2011) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2011.0549 · Cited by 30
Butterfield, J. (1996) · The British Journal for the Philosophy of Science · doi:10.1093/bjps/47.2.200 · Cited by 30
Instability of quantum equilibrium in Bohm's dynamics
Colin, S., & Valentini, A. (2014) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2014.0288 · Cited by 29
Self-citationThe Past Histories of Molecules
Callender, C. (2011) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199577439.003.0004 · Cited by 30
Interpreting Probabilities in Quantum Field Theory and Quantum Statistical Mechanics
Ruetsche, L., & Earman, J. (2011) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199577439.003.0010 · Cited by 28
Can the World Beshown to be Indeterministic after all?
Wüthrich, C. (2011) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199577439.003.0014 · Cited by 29
Frigg, R., & Werndl, C. (2011) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199577439.003.0005 · Cited by 30
Existential contextuality and the models of Meyer, Kent, and Clifton
Appleby, D. M. (2002) · Physical Review A · doi:10.1103/physreva.65.022105 · Cited by 27
Formalism, Ontology and Methodology in Bohmian Mechanics
Belousek, D. W. S. (2003) · Foundations of Science · doi:10.1023/a:1023925900377 · Cited by 27
Quantum field theory of relic nonequilibrium systems
Underwood, N. G., & Valentini, A. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.063531 · Cited by 29
Self-citationMechanism for the suppression of quantum noise at large scales on expanding space
Colin, S., & Valentini, A. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.103515 · Cited by 28
Self-citationSubjective Probability and Statistical Physics
Uffink, J. (2011) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199577439.003.0002 · Cited by 27
Hidden Variables, Statistical Mechanics and the Early Universe
Valentini, A. (2001) · Lecture notes in physics · doi:10.1007/3-540-44966-3_12 · Cited by 25
Self-citationBohm's theory: Common sense dismissed
Cushing, J. T. (1993) · Studies in History and Philosophy of Science Part A · doi:10.1016/0039-3681(93)90065-r · Cited by 24
Order in de Broglie–Bohm quantum mechanics
Contopoulos, G., Delis, N., & Efthymiopoulos, C. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/16/165301 · Cited by 24
The role of chaotic and ordered trajectories in establishing Born’s rule
Tzemos, A. C., & Contopoulos, G. (2021) · Physica Scripta · doi:10.1088/1402-4896/abf18a · Cited by 23
Cushing, J. T. (1996) · Springer eBooks · doi:10.1007/978-94-015-8656-6_13 · Cited by 23
Colin, S., & Valentini, A. (2016) · International Journal of Modern Physics D · doi:10.1142/s0218271816500681 · Cited by 26
Self-citationChaos in Bohmian Quantum Mechanics: A Short Review
Contopoulos, G., & Tzemos, A. C. (2020) · Regular and Chaotic Dynamics · doi:10.1134/s1560354720050056 · Cited by 20
Ergodicity and Born's rule in an entangled two-qubit Bohmian system
Tzemos, A. C., & Contopoulos, G. (2020) · Physical review. E · doi:10.1103/physreve.102.042205 · Cited by 21
Beable-guided quantum theories: Generalizing quantum probability laws
Kent, A. (2013) · Physical Review A · doi:10.1103/physreva.87.022105 · Cited by 19
Locality and indeterminism preserve the second law
Elitzur, A. C. (1992) · Physics Letters A · doi:10.1016/0375-9601(92)90268-q · Cited by 20
Bohmian analysis of momentum transfer inwelcher Wegmeasurements
Wiseman, H. M. (1998) · Physical Review A · doi:10.1103/physreva.58.1740 · Cited by 20
Superdeterministic hidden-variables models I: non-equilibrium and signalling
Sen, I., & Valentini, A. (2020) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2020.0212 · Cited by 18
Self-citationQuantum isotropization of the Universe
Pinto-Neto, N., Velasco, A. F., & Junior, R. C. (2000) · Physics Letters A · doi:10.1016/s0375-9601(00)00706-4 · Cited by 19
Angular-momentum measurement and nonlocality in Bohm’s interpretation of quantum theory
Dewdney, C., & Malik, Z. (1993) · Physical Review A · doi:10.1103/physreva.48.3513 · Cited by 19
Covariant canonical quantization of fields and Bohmian mechanics
Nikolic, H. (2004) · CERN Document Server (European Organization for Nuclear Research) · Cited by 19
Why isn't every physicist a Bohmian?Preprint
Passon, O. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0412119 · Cited by 23
Spekkens, R. W. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1909.04628 · Cited by 18
Order in de Broglie- Bohm quantum mechanicsPreprint
Contopoulos, G., Delis, N., & Efthymiopoulos, C. (2016) · Cited by 18
Physics and the Humean approach to Probability
Hoefer, C. (2011) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199577439.003.0012 · Cited by 18
Bouncing Oil Droplets, de Broglie’s Quantum Thermostat, and Convergence to Equilibrium
Hatifi, M., Willox, R., Colin, S., & Durt, T. (2018) · Entropy · doi:10.3390/e20100780 · Cited by 18
Sutherland, R. I. (2016) · Foundations of Physics · doi:10.1007/s10701-016-0043-6 · Cited by 17
Signal-Locality and Subquantum Information in Deterministic Hidden-Variables Theories
Valentini, A. (2002) · Springer eBooks · doi:10.1007/978-94-010-0385-8_6 · Cited by 17
Self-citationZyablovsky, A. A., Andrianov, E. S., Nechepurenko, I. A., Dorofeenko, A. V., Pukhov, A., & Vinogradov, A. P. (2017) · Physical Review A · doi:10.1103/physreva.95.053835 · Cited by 17
Dynamics for Density Operator Interpretations of Quantum TheoryPreprint
Bacciagaluppi, G., & Dickson, M. (1997) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9711048 · Cited by 17
De Broglie-Bohm Quantum Mechanics
Valentini, A. (2024) · Elsevier eBooks · doi:10.1016/b978-0-323-95703-8.00264-0 · Cited by 17
Self-citationToy model for local and deterministic wave-function collapse
Donadi, S., & Hossenfelder, S. (2022) · Physical Review A · doi:10.1103/physreva.106.022212 · Cited by 16
Nontrivial Quantum Effects in Biology: A Skeptical Physicists' View
Wiseman, H. M., & Eisert, J. (2008) · IMPERIAL COLLEGE PRESS eBooks · doi:10.1142/9781848162556_0017 · Cited by 18
A mathematical framework for operational fine tunings
Catani, L., & Leifer, M. (2023) · Quantum · doi:10.22331/q-2023-03-16-948 · Cited by 18
Anomalous spectral lines and relic quantum nonequilibrium
Underwood, N. G., & Valentini, A. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.101.043004 · Cited by 14
Self-citationPath Integrals and RealityPreprint
Kent, A. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1305.6565 · Cited by 18
Beyond the Born Rule in Quantum Gravity
Valentini, A. (2022) · Foundations of Physics · doi:10.1007/s10701-022-00635-0 · Cited by 15
Self-citationLorentz-Invariant, Retrocausal, and Deterministic Hidden Variables
Drezet, A. (2019) · Foundations of Physics · doi:10.1007/s10701-019-00297-5 · Cited by 13
Probability in Relativistic Bohmian Mechanics of Particles and Strings
Nikolić, H. (2008) · Foundations of Physics · doi:10.1007/s10701-008-9241-1 · Cited by 13
Drezet, A. (2021) · Entropy · doi:10.3390/e23111371 · Cited by 12
Ergodicity and Born's rule in an entangled three-qubit Bohmian system
Tzemos, A. C., & Contopoulos, G. (2021) · Physical review. E · doi:10.1103/physreve.104.054211 · Cited by 12
Bohmian quantum potential and chaos
Tzemos, A. C., & Contopoulos, G. (2022) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2022.112151 · Cited by 12
Three Roads to Objective Probability
Maudlin, T. (2011) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199577439.003.0011 · Cited by 12
Metadata
- Authors
- Valentini, A.
- Affiliations
- Scuola Internazionale Superiore di Studi Avanzati (IT)
- Corresponding author
- Valentini, Antony
- ORCID
- Valentini, Antony
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1991-08
- Volume
- 158
- Issue
- 1-2
- Pages
- 1-8
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2074767907
- Cited by
- 268
- References
- 14
- Citations by year
- 2026: 5 · 2025: 10 · 2024: 10 · 2023: 15 · 2022: 8 · 2021: 6 · 2020: 12 · 2019: 9 · 2018: 11 · 2017: 6 · 2016: 27 · 2015: 10 · 2014: 11 · 2013: 5 · 2012: 7
- FWCI
- 2.29
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics Letters A (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- Bohmian mechanics, uncertainty principle, H-theorem, emergence of quantum mechanics, heat death, equilibrium probability distribution
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
