Paper Citation Record · LEDGER

Quantum observables for probabilistic classical particles

As of 9 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2607.13937.

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pith.paper-citation-record.v1
2607.13937 v1

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measured 52 of 52 reference resolution

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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Reference resolution

52 of 52 outbound references displayed

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Outbound references

Observation d44a85aa-f7a9-46f2-8bbf-ad481616c031 · outbound

This paper cites Quantum particles from classical probabilities in phase space.

Quantum observables for probabilistic classical particles Quantum particles from classical probabilities in phase space

Reference 1

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Observation 5565a6a9-b147-4209-87cf-216b53a4bce1 · outbound

This paper cites This property ex- tends to an arbitrary value of the vector⃗ cwhich obtains from (0,0, c3) by a rotation.

Quantum observables for probabilistic classical particles This property ex- tends to an arbitrary value of the vector⃗ cwhich obtains from (0,0, c3) by a rotation

Reference 2

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Observation 0a52e584-1b66-4b7c-b835-a4ff5b88294d · outbound

This paper cites quantum con- straint.

Quantum observables for probabilistic classical particles quantum con- straint

Reference 3

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Observation ad8a1e1e-02d4-4091-8a18-fbbd4a227ee6 · outbound

This paper cites Quantum particles from coarse grained classical probabilities in phase space.

Quantum observables for probabilistic classical particles Quantum particles from coarse grained classical probabilities in phase space

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:47.260752Z

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Observation 2e3dc88a-53e8-42ac-b2a1-dffe511d09c1 · outbound

This paper cites Quantum formalism for classical statistics.

Quantum observables for probabilistic classical particles Quantum formalism for classical statistics

Reference 5

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Observation 277f1acb-6e0b-4eed-bd42-8d09ce07aedf · outbound

This paper cites an unresolved cited work.

Quantum observables for probabilistic classical particles Unresolved cited work

Reference 6

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Observation 315f96a1-0004-40ea-9107-6801fd6c13a8 · outbound

This paper cites an unresolved cited work.

Quantum observables for probabilistic classical particles Unresolved cited work

Reference 7

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Observation 2d1db523-e902-4695-b665-3311eb2b8d3a · outbound

This paper cites On Koopman-von Neumann Waves.

Quantum observables for probabilistic classical particles On Koopman-von Neumann Waves

Reference 8

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Observation f7affeb5-814e-416c-b414-a0935dbd90e5 · outbound

This paper cites On Koopman-von Neumann Waves II.

Quantum observables for probabilistic classical particles On Koopman-von Neumann Waves II

Reference 9

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Observation 65980479-525c-4243-bbdf-4ce023cf3f48 · outbound

This paper cites Relativistic Wigner function and consistent classical limit for spin 1/2 particles.

Quantum observables for probabilistic classical particles Relativistic Wigner function and consistent classical limit for spin 1/2 particles

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:48.008121Z

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Observation 3e12bd08-2df4-4750-b297-263a06b86979 · outbound

This paper cites Introduction to Koopman-von Neumann Mechanics.

Quantum observables for probabilistic classical particles Introduction to Koopman-von Neumann Mechanics

Reference 11

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Observation 165fa729-8693-4c96-ab35-1ea48d7959e0 · outbound

This paper cites Gozzi and D.

Quantum observables for probabilistic classical particles Gozzi and D

Reference 12

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Observation 9c8fc886-fd29-4a5a-9c40-d174a1f63fa6 · outbound

This paper cites From Koopman-von Neumann Theory to Quantum Theory.

Quantum observables for probabilistic classical particles From Koopman-von Neumann Theory to Quantum Theory

Reference 13

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Observation 6f73a75f-2e28-448d-9030-5342d9bb0652 · outbound

This paper cites Mauroy, I.

Quantum observables for probabilistic classical particles Mauroy, I

Reference 14

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Observation 70e1f0b4-b69c-4008-a1c3-f67d80d0bb3e · outbound

This paper cites Ergodic theory, Dynamic Mode Decomposition and Computation of Spectral Properties of the Koopman operator.

Quantum observables for probabilistic classical particles Ergodic theory, Dynamic Mode Decomposition and Computation of Spectral Properties of the Koopman operator

Reference 15

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Observation a5a6b300-a7b2-45c3-9b98-ad513d790be3 · outbound

This paper cites Data-driven spectral analysis of the Koopman operator.

Quantum observables for probabilistic classical particles Data-driven spectral analysis of the Koopman operator

Reference 16

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Observation 844f79c1-0e16-4e13-be88-763ccf8a1ced · outbound

This paper cites Delay-coordinate maps, coherence, and approximate spectra of evolution operators.

Quantum observables for probabilistic classical particles Delay-coordinate maps, coherence, and approximate spectra of evolution operators

Reference 17

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Observation 3633dfd8-5231-46aa-8a96-492c780df53c · outbound

This paper cites Chru´ sci´ nski, Koopman’s approach to dissipation, Re- ports on Mathematical Physics57, 319 (2006).

Quantum observables for probabilistic classical particles Chru´ sci´ nski, Koopman’s approach to dissipation, Re- ports on Mathematical Physics57, 319 (2006)

Reference 18

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Observation c8c4509e-ba09-48c9-8f73-d24b88ec6190 · outbound

This paper cites On Numerical Approximations of the Koopman Operator.

Quantum observables for probabilistic classical particles On Numerical Approximations of the Koopman Operator

Reference 19

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Observation d74d19f7-c5d6-48fa-84f2-40ac71112261 · outbound

This paper cites Darling and L.

Quantum observables for probabilistic classical particles Darling and L

Reference 20

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Observation 631ec0d8-96d0-4a8f-8123-07deddd0a8f4 · outbound

This paper cites From quantum hydrodynamics to Koopman wavefunctions I.

Quantum observables for probabilistic classical particles From quantum hydrodynamics to Koopman wavefunctions I

Reference 21

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Observation 26573f86-ae39-4a8f-ad87-944212ee0695 · outbound

This paper cites Gozzi, M.

Quantum observables for probabilistic classical particles Gozzi, M

Reference 22

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Observation 77811a97-c3af-4ae5-80e3-bff2684717fa · outbound

This paper cites Kofler and i.

Quantum observables for probabilistic classical particles Kofler and i

Reference 23

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Observation da7520d4-e8eb-4916-9533-3863303b9f41 · outbound

This paper cites Coarse-graining of measurement and quantum-to-classical transition in the bipartite scenario.

Quantum observables for probabilistic classical particles Coarse-graining of measurement and quantum-to-classical transition in the bipartite scenario

Reference 24

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Observation e0d6933c-46ad-4736-9b74-0da415d832f3 · outbound

This paper cites Gallego, Coarse-graining and the quantum-to- classical transition, International Journal of Modern Physics B36, 2230001 (2022).

Quantum observables for probabilistic classical particles Gallego, Coarse-graining and the quantum-to- classical transition, International Journal of Modern Physics B36, 2230001 (2022)

Reference 25

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Observation a0f54a9b-d5cd-4aca-b7e4-dca59b03bfdd · outbound

This paper cites The classical limit of quantum mechanics through coarse-grained measurements.

Quantum observables for probabilistic classical particles The classical limit of quantum mechanics through coarse-grained measurements

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:48.435485Z

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Observation 013bc8c2-60fc-459e-ba85-ef4b94b2b497 · outbound

This paper cites Nonequilibrium Quantum Fields: From Cold Atoms to Cosmology.

Quantum observables for probabilistic classical particles Nonequilibrium Quantum Fields: From Cold Atoms to Cosmology

Reference 27

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Observation 72d84d5b-acd7-4c73-9f6b-47a23f5f418b · outbound

This paper cites an unresolved cited work.

Quantum observables for probabilistic classical particles Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:48.443840Z

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Observation a453064b-69d9-4c1a-ac6d-b9e4b0fcff5b · outbound

This paper cites Probability Distributions and Hilbert Spaces: Quantum and Classical Systems.

Quantum observables for probabilistic classical particles Probability Distributions and Hilbert Spaces: Quantum and Classical Systems

Reference 29

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Observation 235da523-c64a-4317-a84b-789d316663ba · outbound

This paper cites Classical mechanics without determinism.

Quantum observables for probabilistic classical particles Classical mechanics without determinism

Reference 30

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Observation ad0d9514-3763-492a-b336-2813024ff304 · outbound

This paper cites Randomness in Classical Mechanics and Quantum Mechanics.

Quantum observables for probabilistic classical particles Randomness in Classical Mechanics and Quantum Mechanics

Reference 31

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Observation df965f86-63cb-4dc7-9017-bdec003d9ce6 · outbound

This paper cites On the Operator Origins of Classical and Quantum Wave Functions.

Quantum observables for probabilistic classical particles On the Operator Origins of Classical and Quantum Wave Functions

Reference 32

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Observation 7419e4ea-a541-4cf6-9c68-15e1f10d9015 · outbound

This paper cites Gozzi, Hidden brs invariance in classical mechanics, Phys.

Quantum observables for probabilistic classical particles Gozzi, Hidden brs invariance in classical mechanics, Phys

Reference 33

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Observation fa967e39-1de6-4f8f-9aca-6323c6e9f648 · outbound

This paper cites Time Evolution of Non-Equilibrium Effective Action.

Quantum observables for probabilistic classical particles Time Evolution of Non-Equilibrium Effective Action

Reference 34

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Observation f8f489e0-27dc-4f46-843c-540cc41f0321 · outbound

This paper cites Non-Equilibrium Time Evolution in Quantum Field Theory.

Quantum observables for probabilistic classical particles Non-Equilibrium Time Evolution in Quantum Field Theory

Reference 35

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Observation 651ef1d9-c744-489e-9f47-978fafe58e3c · outbound

This paper cites Classical mechanics as nonlinear quantum mechanics.

Quantum observables for probabilistic classical particles Classical mechanics as nonlinear quantum mechanics

Reference 36

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Observation be37edf4-a00c-4491-ae8a-19dbc5b412b6 · outbound

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Quantum observables for probabilistic classical particles Quantum correlations in classical statistics

Reference 37

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Observation 058fcedd-8ffd-4e01-a9e5-79dfbf1b5c02 · outbound

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Quantum observables for probabilistic classical particles Information transport in classical statistical systems

Reference 38

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Observation 08c6163e-3d0c-4159-80f6-4fef8949d982 · outbound

This paper cites Quantum field theory for classical fields.

Quantum observables for probabilistic classical particles Quantum field theory for classical fields

Reference 39

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Observation e0fe7ab1-7b6a-4e48-9846-5fc1f7cfc7ca · outbound

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Quantum observables for probabilistic classical particles Unresolved cited work

Reference 40

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Observation 25142d1f-67e7-4311-97f7-63da9a42678f · outbound

This paper cites an unresolved cited work.

Quantum observables for probabilistic classical particles Unresolved cited work

Reference 41

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Observation af7a796e-6c30-4a15-a821-fc7938333346 · outbound

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Quantum observables for probabilistic classical particles The probabilistic world

Reference 42

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Observation fb3b3fa7-6f27-474a-a9b3-3c4908e0ea7b · outbound

This paper cites The probabilistic world II : Quantum mechanics from classical statistics.

Quantum observables for probabilistic classical particles The probabilistic world II : Quantum mechanics from classical statistics

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:48.511432Z

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Observation 58183684-db78-48a0-a99f-c77fb77ac0d4 · outbound

This paper cites an unresolved cited work.

Quantum observables for probabilistic classical particles Unresolved cited work

Reference 44

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Observation e79e35ee-8fca-4b6b-9394-3ddb9cb102d5 · outbound

This paper cites Probabilistic observables, conditional correlations, and quantum physics.

Quantum observables for probabilistic classical particles Probabilistic observables, conditional correlations, and quantum physics

Reference 45

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Observation 45cbcb38-3c1c-40aa-8d9d-966a968a5811 · outbound

This paper cites Emergence of quantum mechanics from classical statistics.

Quantum observables for probabilistic classical particles Emergence of quantum mechanics from classical statistics

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:48.525995Z

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Observation bc43569c-db50-474e-8dbf-88bdd2206c4c · outbound

This paper cites Classical probabilistic realisation of quantum double-slit interference.

Quantum observables for probabilistic classical particles Classical probabilistic realisation of quantum double-slit interference

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:48.530450Z

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Observation b25b442f-2994-486a-add4-a5eccf10d9d2 · outbound

This paper cites Quantum mechanics for classical transport equations.

Quantum observables for probabilistic classical particles Quantum mechanics for classical transport equations

Reference 48

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Observation 1c7c78ca-6747-491f-b181-3085b9cf86bd · outbound

This paper cites Fermions as generalized Ising models.

Quantum observables for probabilistic classical particles Fermions as generalized Ising models

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:48.539824Z

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Observation d272d5d9-e212-4fdf-be09-ff733ac4da71 · outbound

This paper cites Fermion picture for cellular automata.

Quantum observables for probabilistic classical particles Fermion picture for cellular automata

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:48.545329Z

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Observation 5a5a6dbe-1bc7-4c02-9706-e12fe9aba32c · outbound

This paper cites The Dirac Equation, Mass and Arithmetic by Permutations of Automaton States.

Quantum observables for probabilistic classical particles The Dirac Equation, Mass and Arithmetic by Permutations of Automaton States

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:48.549993Z

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Observation 56b0b8d9-be16-4552-b858-fa730c510ffa · outbound

This paper cites Wetterich, Complex wave functions, CPT and quantum field theory for classical generalized Ising models, Nuclear Physics B1022, 117204 (2026), arXiv:2505.24392 [quant-ph].

Quantum observables for probabilistic classical particles Wetterich, Complex wave functions, CPT and quantum field theory for classical generalized Ising models, Nuclear Physics B1022, 117204 (2026), arXiv:2505.24392 [quant-ph]

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-02T03:20:48.555326Z

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