Paper Citation Record · LEDGER

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions

As of 16 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2504.21529.

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pith.paper-citation-record.v1
2504.21529 v3

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measured 48 of 48 reference resolution

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measured 48 of 48 standing notices

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Reference resolution

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Outbound references

Observation d8e8f752-7af6-4908-9354-2b0dce7798cd · outbound

This paper cites Schwinger, Particles, Sources, and Fields, Vol.1, Addison-Wesley, Reading, MA, 1970.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Schwinger, Particles, Sources, and Fields, Vol.1, Addison-Wesley, Reading, MA, 1970

Reference 1

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Observation 4ea7cfea-d639-4076-8b56-555a21607d07 · outbound

This paper cites Poincar´ e, SUR LA DYNAMIQUE DE L’´ELECTRON, Rendiconti del Circolo matematico di Palermo 21: 129-1976, 1906.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Poincar´ e, SUR LA DYNAMIQUE DE L’´ELECTRON, Rendiconti del Circolo matematico di Palermo 21: 129-1976, 1906

Reference 2

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This paper cites an unresolved cited work.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Unresolved cited work

Reference 3

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Observation a12e72bf-5f00-42a8-8144-e7085b82994e · outbound

This paper cites Jackiw, 3 - Cocycle in Mathematics and Physics, Phys.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Jackiw, 3 - Cocycle in Mathematics and Physics, Phys

Reference 4

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Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Unresolved cited work

Reference 5

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Observation a6c5a37d-5377-49af-9860-8e4f1adbe9be · outbound

This paper cites Mickelsson, Chiral Anomalies in Even and Odd Dimensions, Commun.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Mickelsson, Chiral Anomalies in Even and Odd Dimensions, Commun

Reference 6

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Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Unresolved cited work

Reference 7

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Observation 8379cccc-5e6e-4f58-ba0a-6efa8c0487a9 · outbound

This paper cites Zumino, Y.-S.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Zumino, Y.-S

Reference 8

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Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Unresolved cited work

Reference 9

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Observation d40eb81f-083e-4e9c-9883-cce46677e666 · outbound

This paper cites Topological mass generation in four-dimensional gauge theory.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Topological mass generation in four-dimensional gauge theory

Reference 10

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Observation a5b7d216-3c58-4745-ad24-2e79f233fc06 · outbound

This paper cites Differential geometry construction of anomalies and topological invariants in various dimensions.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Differential geometry construction of anomalies and topological invariants in various dimensions

Reference 11

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Observation 1be298f9-3a1f-4344-bbf5-c2cb16540861 · outbound

This paper cites Extension of Chern-Simons forms and new gauge anomalies.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Extension of Chern-Simons forms and new gauge anomalies

Reference 12

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Observation 8ba23fe4-f2b6-4033-9550-c72daf08b5c6 · outbound

This paper cites Extension of Chern-Simons forms.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Extension of Chern-Simons forms

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:13:27.348572Z

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Observation 154148dc-cdb4-4008-8a0a-0231484fa2e8 · outbound

This paper cites Doplicher, K.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Doplicher, K

Reference 14

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Observation 224ba69a-5578-44fc-933f-0ff172a80064 · outbound

This paper cites Doplicher, K.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Doplicher, K

Reference 15

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Observation 04d99df9-28d1-4076-9825-55ae499cfb3e · outbound

This paper cites String Theory and the Space-Time Uncertainty Principle.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions String Theory and the Space-Time Uncertainty Principle

Reference 16

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Observation 9cbf8f70-130d-4324-990e-4d9a68a33925 · outbound

This paper cites Lust, T-duality and closed string non-commutative (doubled) geometry, JHEP 12 (2010).

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Lust, T-duality and closed string non-commutative (doubled) geometry, JHEP 12 (2010)

Reference 17

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Observation e31e0482-c4e9-4cc3-bb22-d4004b716616 · outbound

This paper cites Mylonas, P.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Mylonas, P

Reference 18

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Observation 07d35c61-f565-4d3b-858c-41ea7c855700 · outbound

This paper cites Bacry, The Position Operator Revisited, Ann.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Bacry, The Position Operator Revisited, Ann

Reference 19

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Observation e6ce6fca-280f-46d8-b876-ac67fac7d950 · outbound

This paper cites Chern-Simons--Antoniadis-Savvidy forms and standard supergravity.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Chern-Simons--Antoniadis-Savvidy forms and standard supergravity

Reference 20

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Observation 28337030-3857-4d11-8dee-3920f4343173 · outbound

This paper cites Modified newtonian dynamics and non-relativistic ChSAS gravity.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Modified newtonian dynamics and non-relativistic ChSAS gravity

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:13:27.225800Z

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Observation b159a42a-2b56-4522-9422-252eec1ae215 · outbound

This paper cites Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules

Reference 22

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Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Unresolved cited work

Reference 23

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Observation 34a03748-40c7-4de5-8b72-f869b681b397 · outbound

This paper cites Goddard, D.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Goddard, D

Reference 24

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Observation 03406e93-2cc4-46db-8bd9-5015ba003888 · outbound

This paper cites Charge quantization conditions based on the Atiyah--Singer index theorem.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Charge quantization conditions based on the Atiyah--Singer index theorem

Reference 25

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Observation d079d491-985f-4bbd-acac-a48904c22b4d · outbound

This paper cites Witten, Noncommutative Geometry and String Field Theory, Nucl.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Witten, Noncommutative Geometry and String Field Theory, Nucl

Reference 26

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Observation b329deff-7acc-4990-a34f-6a0d26708dac · outbound

This paper cites A New Non-Commutative Field Theory.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions A New Non-Commutative Field Theory

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:13:26.974754Z

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Observation 393e1390-a9f9-4235-adbf-7d252b1302be · outbound

This paper cites Non-geometric Fluxes, Asymmetric Strings and Nonassociative Geometry.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Non-geometric Fluxes, Asymmetric Strings and Nonassociative Geometry

Reference 28

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Observation e2f81058-a9de-4d50-b6b1-3b44c43267fe · outbound

This paper cites Small magnetic charges and monopoles in non-associative quantum mechanics.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Small magnetic charges and monopoles in non-associative quantum mechanics

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:13:26.862770Z

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Observation 887b012c-018d-4929-b1a2-a9a2a9a0bfee · outbound

This paper cites Magnetic monopoles and nonassociative deformations of quantum theory.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Magnetic monopoles and nonassociative deformations of quantum theory

Reference 30

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Observation 43237562-6a2d-44cc-afa9-1ab645af3e49 · outbound

This paper cites An Introduction to Nonassociative Physics.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions An Introduction to Nonassociative Physics

Reference 31

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Observation 1ac1c455-7cf1-4c76-b18d-f37ec7f177c0 · outbound

This paper cites An algebraic formulation of nonassociative quantum mechanics.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions An algebraic formulation of nonassociative quantum mechanics

Reference 32

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Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Unresolved cited work

Reference 33

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Observation dd04e76e-2493-4172-b8eb-799ab37c0eb3 · outbound

This paper cites Landau, R.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Landau, R

Reference 34

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Observation d86d818c-631e-4003-8867-53897a9113d0 · outbound

This paper cites Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory

Reference 35

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Observation b7335b53-47b9-4255-bb13-dfcabb4817b0 · outbound

This paper cites (Non-)commutative closed string on T-dual toroidal backgrounds.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions (Non-)commutative closed string on T-dual toroidal backgrounds

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:13:26.585343Z

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Observation d6c8920f-55d0-48d2-a775-8c90a73a7778 · outbound

This paper cites 3-Cocycles, Non-Associative Star-Products and the Magnetic Paradigm of R-Flux String Vacua.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions 3-Cocycles, Non-Associative Star-Products and the Magnetic Paradigm of R-Flux String Vacua

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:13:26.516896Z

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Observation 07103ec3-6f0f-4f36-945b-0c50f7a14afe · outbound

This paper cites Non-commutative/non-associative IIA (IIB) Q- and R-branes and their intersections.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Non-commutative/non-associative IIA (IIB) Q- and R-branes and their intersections

Reference 38

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Observation 568d6575-5230-431a-a810-618fbac97ec7 · outbound

This paper cites Interaction of non-Abelian tensor gauge fields.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Interaction of non-Abelian tensor gauge fields

Reference 39

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Observation 15627511-666c-4f92-ba8b-2d11b76275db · outbound

This paper cites Extension of the Poincar\'e Group and Non-Abelian Tensor Gauge Fields.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Extension of the Poincar\'e Group and Non-Abelian Tensor Gauge Fields

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:13:26.374610Z

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Observation 0763d0d8-e6fe-400e-83b5-47daef169cb1 · outbound

This paper cites Non-Abelian Tensor Gauge Fields.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Non-Abelian Tensor Gauge Fields

Reference 41

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Observation 83b5d271-debf-45f0-a7af-e5d2dcd369b0 · outbound

This paper cites Non-Abelian tensor gauge fields: generalization of Yang-Mills theory.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Non-Abelian tensor gauge fields: generalization of Yang-Mills theory

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:13:26.081814Z

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Observation e48059a6-d23a-4dac-ab29-3788ccd3cf18 · outbound

This paper cites Generalisation of the Yang-Mills Theory.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Generalisation of the Yang-Mills Theory

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:13:26.064336Z

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Observation a551e66d-5ff7-41f8-9c97-d00b774a019d · outbound

This paper cites Savvidy, Non-abelian tensor gauge fields.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Savvidy, Non-abelian tensor gauge fields

Reference 44

Resolution: verified exact; doi, observed 2026-08-16T05:13:25.293092Z

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Observation 6b4882ad-53d9-45e7-b90e-813025672977 · outbound

This paper cites Savvidy, Non-abelian tensor gauge fields.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Savvidy, Non-abelian tensor gauge fields

Reference 45

Resolution: verified exact; doi, observed 2026-08-16T05:13:25.235938Z

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Observation eb737910-ebd8-4611-b157-f950e59afe06 · outbound

This paper cites Extensions of the Poincare group.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Extensions of the Poincare group

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:13:25.902185Z

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Observation 870167fa-1d57-4f07-b800-7da211d684e5 · outbound

This paper cites T-duality and closed string non-commutative (doubled) geometry.

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions T-duality and closed string non-commutative (doubled) geometry

Reference 84

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Observation 9f83da89-14f0-44bf-b40a-c3aa62b15333 · outbound

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Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions Unresolved cited work

Reference 1905

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:13:50.273243Z

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