Paper Citation Record · LEDGER

Hall's exact variance decomposition in Bohmian Mechanics

As of 6 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2512.24664.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2512.24664 v2

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-05-16T19:20:48.632299Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

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Reference resolution

40 of 40 outbound references displayed

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verified fuzzy20
unresolved18
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Outbound references

Observation 24d3fc39-2807-49fe-9e55-12191e7857d8 · outbound

This paper cites 𝑆𝑧,𝑤(𝐱) is merely a mathematical symbol on configuration space; its ensemble variance Var𝐵[𝑆𝑧,𝑤] does not represent the statistical fluctuation of actual spin measurement outcomes.

Hall's exact variance decomposition in Bohmian Mechanics 𝑆𝑧,𝑤(𝐱) is merely a mathematical symbol on configuration space; its ensemble variance Var𝐵[𝑆𝑧,𝑤] does not represent the statistical fluctuation of actual spin measurement outcomes

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.429261Z

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Observation 18f7d894-8e4a-46f6-af85-6f7e902ff36a · outbound

This paper cites The set {𝐱:∣ 𝜓(𝐱)∣ = 0} = 𝒩 is a Lebesgue null set (by assumption (H5), it has measure zero).

Hall's exact variance decomposition in Bohmian Mechanics The set {𝐱:∣ 𝜓(𝐱)∣ = 0} = 𝒩 is a Lebesgue null set (by assumption (H5), it has measure zero)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.423141Z

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Observation d8731fc6-1be3-4283-b071-0adfbf575d09 · outbound

This paper cites Therefore, we can integrate the identity over the entire ℝ𝑑: ∫ ∣ ℝ𝑑 𝐴̂𝜓(𝐱)∣2 𝑑𝐱 = ∫ ∣ 𝜓(𝐱) ℝ𝑑 ∣2 𝑎𝑤 2 (𝐱)𝑑𝐱 + ∫ (Im[𝜓∗(𝐱)(𝐴̂𝜓)(𝐱)]) 2 ∣ 𝜓(𝐱)∣2 ℝ𝑑 𝑑𝐱.

Hall's exact variance decomposition in Bohmian Mechanics Therefore, we can integrate the identity over the entire ℝ𝑑: ∫ ∣ ℝ𝑑 𝐴̂𝜓(𝐱)∣2 𝑑𝐱 = ∫ ∣ 𝜓(𝐱) ℝ𝑑 ∣2 𝑎𝑤 2 (𝐱)𝑑𝐱 + ∫ (Im[𝜓∗(𝐱)(𝐴̂𝜓)(𝐱)]) 2 ∣ 𝜓(𝐱)∣2 ℝ𝑑 𝑑𝐱

Reference 3

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Observation 9a866545-b1b0-4b9b-ae42-ef3ac784a8fd · outbound

This paper cites Right side, second term: 𝒬𝐴 (by definition (8)), and obviously 𝒬𝐴 ≥ 0.

Hall's exact variance decomposition in Bohmian Mechanics Right side, second term: 𝒬𝐴 (by definition (8)), and obviously 𝒬𝐴 ≥ 0

Reference 4

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Observation 3a7f7670-0aca-47a2-8b76-19ca676380b4 · outbound

This paper cites an unresolved cited work.

Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 5

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Observation 08f92bd8-0dc6-4653-afb0-f254030da757 · outbound

This paper cites an unresolved cited work.

Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.506014Z

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Observation 78f0092e-e374-4a45-a8e4-0ee393704573 · outbound

This paper cites quantum fluctuation term.

Hall's exact variance decomposition in Bohmian Mechanics quantum fluctuation term

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.498946Z

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Observation ae6b7634-2b36-4998-8909-a2ae7af354f5 · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.475258Z

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Observation f057acb6-baf0-421d-ae9c-8e10af621915 · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 9

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Observation f386d56c-d626-4dde-aa38-548b9b1a7502 · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 10

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Observation 9fae0e8c-654c-47b0-b93a-a2d89ef42388 · outbound

This paper cites Bohm, A Suggested interpretation of the quantum theory in terms of hidden variables, Phys.

Hall's exact variance decomposition in Bohmian Mechanics Bohm, A Suggested interpretation of the quantum theory in terms of hidden variables, Phys

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.508545Z

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Observation 4162df35-451c-409f-886e-65c3455cef63 · outbound

This paper cites Bohm and B.

Hall's exact variance decomposition in Bohmian Mechanics Bohm and B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.481941Z

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Observation 09ab7526-8781-4cd0-8674-12663bf7f628 · outbound

This paper cites Holland, The Quantum Theory of Motion, An Account of the Broglie -Bohm Causal Interpretation of Quantum Mechanics, (Cambridge University Press, Cambridge) (1993).

Hall's exact variance decomposition in Bohmian Mechanics Holland, The Quantum Theory of Motion, An Account of the Broglie -Bohm Causal Interpretation of Quantum Mechanics, (Cambridge University Press, Cambridge) (1993)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.454014Z

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Observation f9fd262e-0af7-456d-9c08-f331eb844776 · outbound

This paper cites Bohmian Mechanics.

Hall's exact variance decomposition in Bohmian Mechanics Bohmian Mechanics

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.438224Z

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Observation ae74e671-9503-4b8e-b445-2898302708b0 · outbound

This paper cites Daumer and S.

Hall's exact variance decomposition in Bohmian Mechanics Daumer and S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.474979Z

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Observation 01db59b1-3c36-4e03-86e0-84dffc5114f0 · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.458119Z

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Observation 39382c59-f5e0-4797-b6eb-3c00e2d2da32 · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.462056Z

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Observation 6d78d732-8fae-4cbf-8c09-2c324626b872 · outbound

This paper cites Goldstein and W.

Hall's exact variance decomposition in Bohmian Mechanics Goldstein and W

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.501059Z

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Observation dc0d5c33-1bb1-4775-9da4-b6a193f601d3 · outbound

This paper cites an unresolved cited work.

Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.442617Z

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Observation 3bd95699-f749-4b98-afab-19c368ead36e · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.484111Z

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Observation 9c2299d6-06c7-44f2-87d2-4f43b6042e62 · outbound

This paper cites an unresolved cited work.

Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.456143Z

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Observation 5b1413a1-ff4a-4661-ad56-826b9dbf2108 · outbound

This paper cites Heisenberg, Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik, Z.

Hall's exact variance decomposition in Bohmian Mechanics Heisenberg, Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik, Z

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.467191Z

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Observation 80b396c8-ebef-499a-8a70-9a78e8416970 · outbound

This paper cites Actual and weak actual values in Bohmian mechanics.

Hall's exact variance decomposition in Bohmian Mechanics Actual and weak actual values in Bohmian mechanics

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-06-09T03:07:07.387793Z

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Observation 5fd42197-1f65-4632-adfa-2e3baff30b00 · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.464192Z

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Observation b2d8432c-3f79-4557-ac8e-d620a8c89da4 · outbound

This paper cites Aharonov, D.

Hall's exact variance decomposition in Bohmian Mechanics Aharonov, D

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.460235Z

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Observation 9bbb9ce4-1847-4a18-91a2-cdb6a11b676d · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.434962Z

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Observation 3c371966-25b6-49c4-ab1e-a0890dc4902c · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.437693Z

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Observation 5570b5b5-2d66-43f5-a3fa-8aa9d853d0dc · outbound

This paper cites Norsen, The Pilot-Wave Perspective on Spin, Am.

Hall's exact variance decomposition in Bohmian Mechanics Norsen, The Pilot-Wave Perspective on Spin, Am

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.486947Z

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Observation a0acd705-2e90-4207-ae35-ec527861d18c · outbound

This paper cites Norsen and W.

Hall's exact variance decomposition in Bohmian Mechanics Norsen and W

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.491440Z

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Observation 921b4f3b-818d-473b-987f-c12c697e8886 · outbound

This paper cites an unresolved cited work.

Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.489224Z

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Observation b81348da-8771-43ed-bfe6-3fe04ea6110f · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.484483Z

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Observation 1abf6f00-0a9f-4e06-864d-a381cdb1c318 · outbound

This paper cites Kocsis et al., Observing the Average Trajectories of Single Photons in a Two -Slit Interferometer, Science 332, 1170 (2011).

Hall's exact variance decomposition in Bohmian Mechanics Kocsis et al., Observing the Average Trajectories of Single Photons in a Two -Slit Interferometer, Science 332, 1170 (2011)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.479813Z

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Observation 25ca8d52-2b9e-4720-a12d-b5c88aa528a5 · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-16T19:21:12.118076Z

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Observation f5597612-345e-4759-b3a9-af28fa101d5d · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.425873Z

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Observation 0fa387d6-0e47-4f49-97cf-55b18f50560b · outbound

This paper cites an unresolved cited work.

Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.463865Z

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Observation fadca3d1-942c-4e11-b47c-33331d9e4681 · outbound

This paper cites Foo and T.

Hall's exact variance decomposition in Bohmian Mechanics Foo and T

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.465748Z

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Observation 54d94616-3f04-401b-a1c7-2aed5babcb64 · outbound

This paper cites Tumulka, Foundations of Quantum Mechanics (Springer, Cham, 2022).

Hall's exact variance decomposition in Bohmian Mechanics Tumulka, Foundations of Quantum Mechanics (Springer, Cham, 2022)

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.467969Z

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Observation 1254b34b-537b-4367-865f-8db0a230050b · outbound

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Hall's exact variance decomposition in Bohmian Mechanics Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:21:12.493870Z

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Observation aebf816c-bec8-4868-ade7-883112d3a5ba · outbound

This paper cites Kato, Fundamental properties of Hamiltonian operators of Schrö dinger type , Trans.

Hall's exact variance decomposition in Bohmian Mechanics Kato, Fundamental properties of Hamiltonian operators of Schrö dinger type , Trans

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.470390Z

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Observation ec038d8f-320d-409a-93d2-f296f9875ab0 · outbound

This paper cites Agmon, Lectures on Exponential Decay of Solutions of Second -Order Elliptic Equations: Bounds on Eigenfunctions of N -body Schrö dinger Operators (Princeton University Press, 1982).

Hall's exact variance decomposition in Bohmian Mechanics Agmon, Lectures on Exponential Decay of Solutions of Second -Order Elliptic Equations: Bounds on Eigenfunctions of N -body Schrö dinger Operators (Princeton University Press, 1982)

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:21:12.503613Z

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