Paper Citation Record · LEDGER

The Dirac equation in (split-)octonions: origins, variants, and modern context

As of 13 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2607.09703.

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

pith.paper-citation-record.v1
2607.09703 v2

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measured 55 of 55 reference resolution

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measured 55 of 55 standing notices

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55 of 55 outbound references displayed

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Outbound references

Observation a41bdc56-f56c-4cba-85b7-3bbbad449c96 · outbound

This paper cites The Octonions.

The Dirac equation in (split-)octonions: origins, variants, and modern context The Octonions

Reference 1

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Observation b87b5bcc-16ab-4204-a817-c78d1e447aff · outbound

This paper cites Bengtsson, M.

The Dirac equation in (split-)octonions: origins, variants, and modern context Bengtsson, M

Reference 2

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Observation 60b99f59-df94-4fa6-bf07-1e878264742e · outbound

This paper cites Division Algebras and Supersymmetry I.

The Dirac equation in (split-)octonions: origins, variants, and modern context Division Algebras and Supersymmetry I

Reference 3

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Observation 5de6b597-d800-4306-85d5-fe75dd142a54 · outbound

This paper cites Dirac and Maxwell equations in Split Octonions.

The Dirac equation in (split-)octonions: origins, variants, and modern context Dirac and Maxwell equations in Split Octonions

Reference 4

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Observation 2addcafc-302c-40bd-9cf3-1e4ee7dc95ea · outbound

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The Dirac equation in (split-)octonions: origins, variants, and modern context Unresolved cited work

Reference 5

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Observation a326d797-ccc9-404f-9d70-e9fb8d5ee3cf · outbound

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The Dirac equation in (split-)octonions: origins, variants, and modern context Unresolved cited work

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Observation e39055a1-1cce-4845-8d34-d753bac4fca3 · outbound

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The Dirac equation in (split-)octonions: origins, variants, and modern context Unresolved cited work

Reference 7

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Observation 455ed3fd-ed47-4a7f-84f1-c444d2c0835d · outbound

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The Dirac equation in (split-)octonions: origins, variants, and modern context Unresolved cited work

Reference 8

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Observation 78392bfa-0682-4887-abea-abc113f222ce · outbound

This paper cites Colombo, I.

The Dirac equation in (split-)octonions: origins, variants, and modern context Colombo, I

Reference 9

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Observation deb1a624-d245-4f5c-8ce4-421ed02307ec · outbound

This paper cites Candemir, M.

The Dirac equation in (split-)octonions: origins, variants, and modern context Candemir, M

Reference 10

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Observation fee8fc8e-e47e-4959-880d-fbb7f36ca6f7 · outbound

This paper cites Demir, Hyperbolic Octonion Formulation of Gravitational Field Equations, Int.

The Dirac equation in (split-)octonions: origins, variants, and modern context Demir, Hyperbolic Octonion Formulation of Gravitational Field Equations, Int

Reference 11

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Observation b834e6f8-397f-45a1-b155-99d57b20fe3f · outbound

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The Dirac equation in (split-)octonions: origins, variants, and modern context Unresolved cited work

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Observation f16fefb6-cf45-4a19-916d-0715efaf16f1 · outbound

This paper cites Octonionic Quantum Mechanics and Complex Geometry.

The Dirac equation in (split-)octonions: origins, variants, and modern context Octonionic Quantum Mechanics and Complex Geometry

Reference 13

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Observation c6f33c3f-6ad5-4168-88b9-49f51ac2fd6e · outbound

This paper cites Octonionic Dirac Equation.

The Dirac equation in (split-)octonions: origins, variants, and modern context Octonionic Dirac Equation

Reference 14

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Observation 956f4863-da27-44a8-aad1-822d53a58679 · outbound

This paper cites Quaternionic Spin.

The Dirac equation in (split-)octonions: origins, variants, and modern context Quaternionic Spin

Reference 15

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Observation b26765e9-ebe5-4b1e-87c2-7d073bb9b908 · outbound

This paper cites Demir, M.

The Dirac equation in (split-)octonions: origins, variants, and modern context Demir, M

Reference 16

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Observation ba73d55a-b4b9-4f37-bdef-67b25f565b06 · outbound

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The Dirac equation in (split-)octonions: origins, variants, and modern context Unresolved cited work

Reference 17

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Observation 24784b00-c0f8-4e1a-b8b5-f16dbce77eaf · outbound

This paper cites Towards a unified theory of ideals.

The Dirac equation in (split-)octonions: origins, variants, and modern context Towards a unified theory of ideals

Reference 18

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Observation 4fcb22a9-f523-43ae-a8c7-6450e89a3296 · outbound

This paper cites Standard model physics from an algebra?.

The Dirac equation in (split-)octonions: origins, variants, and modern context Standard model physics from an algebra?

Reference 19

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Observation 17a6c687-bcb2-445c-930b-47353558e874 · outbound

This paper cites A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra.

The Dirac equation in (split-)octonions: origins, variants, and modern context A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra

Reference 20

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Observation e7aa5818-702d-412c-9c9c-f2c2e25b2671 · outbound

This paper cites Geometry of the Non-Compact G(2).

The Dirac equation in (split-)octonions: origins, variants, and modern context Geometry of the Non-Compact G(2)

Reference 21

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Observation 7b7713ab-8c37-47a5-973f-9656adf037e0 · outbound

This paper cites Dirac and Maxwell systems in split octonions.

The Dirac equation in (split-)octonions: origins, variants, and modern context Dirac and Maxwell systems in split octonions

Reference 22

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Observation 61bc73d3-a34d-424c-92a1-fa0fe6462297 · outbound

This paper cites Split octonionic Dirac equation.

The Dirac equation in (split-)octonions: origins, variants, and modern context Split octonionic Dirac equation

Reference 23

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Observation de3976eb-4197-46e9-a637-35ac1d402f92 · outbound

This paper cites Octonionic Electrodynamics.

The Dirac equation in (split-)octonions: origins, variants, and modern context Octonionic Electrodynamics

Reference 24

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Observation 8716c7ad-4114-4066-8426-5606b855fc74 · outbound

This paper cites Octonionic Version of Dirac Equations.

The Dirac equation in (split-)octonions: origins, variants, and modern context Octonionic Version of Dirac Equations

Reference 25

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Observation 4cdca4f3-7438-4f2a-a7a1-783c3793970a · outbound

This paper cites Rotations in the Space of Split Octonions.

The Dirac equation in (split-)octonions: origins, variants, and modern context Rotations in the Space of Split Octonions

Reference 26

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Observation c73957b1-f03b-46d9-821d-67dfc469f705 · outbound

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The Dirac equation in (split-)octonions: origins, variants, and modern context Unresolved cited work

Reference 27

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Observation 5df65795-5f47-4133-84f7-d48cb5ec5634 · outbound

This paper cites Jacobson, Composition algebras and their automorphisms, Rendiconti del Circolo Matematico di Palermo 7 (1958), 55-80.

The Dirac equation in (split-)octonions: origins, variants, and modern context Jacobson, Composition algebras and their automorphisms, Rendiconti del Circolo Matematico di Palermo 7 (1958), 55-80

Reference 28

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Observation d246e0a1-f4f7-44b4-9675-6efb428638a9 · outbound

This paper cites K\"oplinger, V.

The Dirac equation in (split-)octonions: origins, variants, and modern context K\"oplinger, V

Reference 29

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Observation 9a8df916-f763-401c-8f4d-d98708d5bbfc · outbound

This paper cites Operational reconstruction of Feynman rules for quantum amplitudes via composition algebras.

The Dirac equation in (split-)octonions: origins, variants, and modern context Operational reconstruction of Feynman rules for quantum amplitudes via composition algebras

Reference 30

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Observation 0909f87b-d645-4b20-8881-79e9e879fe70 · outbound

This paper cites Discrete octonionic analysis: a unified approach to the split-octonionic and classical settings.

The Dirac equation in (split-)octonions: origins, variants, and modern context Discrete octonionic analysis: a unified approach to the split-octonionic and classical settings

Reference 31

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Observation 98863d00-bd2c-445f-9475-1494ebc904f2 · outbound

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The Dirac equation in (split-)octonions: origins, variants, and modern context Unresolved cited work

Reference 32

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Observation 9c5d91ad-1b7d-4299-ba87-1657ffd6c00a · outbound

This paper cites K\"oplinger, personal web site (publications, personal versions, talks), http://www.jenskoeplinger.com/P http://www.jenskoeplinger.com/P (retrieved 1 Nov 2025).

The Dirac equation in (split-)octonions: origins, variants, and modern context K\"oplinger, personal web site (publications, personal versions, talks), http://www.jenskoeplinger.com/P http://www.jenskoeplinger.com/P (retrieved 1 Nov 2025)

Reference 33

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Observation cacfbc39-5aa8-44eb-b3a5-c9a3d4ab8d4d · outbound

This paper cites K\"oplinger, Dirac equation on hyperbolic octonions, Appl.

The Dirac equation in (split-)octonions: origins, variants, and modern context K\"oplinger, Dirac equation on hyperbolic octonions, Appl

Reference 34

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Observation 576bb204-ca92-4eb0-95c5-4d8de505d9b1 · outbound

This paper cites K\"oplinger, Gravity and electromagnetism on conic sedenions, Appl.

The Dirac equation in (split-)octonions: origins, variants, and modern context K\"oplinger, Gravity and electromagnetism on conic sedenions, Appl

Reference 35

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Observation 8b056d2f-2dfb-452c-9780-a746bfe93186 · outbound

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The Dirac equation in (split-)octonions: origins, variants, and modern context Unresolved cited work

Reference 36

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Observation 072f954c-89d7-41e2-8eac-556350140859 · outbound

This paper cites Phenomenology from Dirac equation with Euclidean-Minkowskian "gravity phase".

The Dirac equation in (split-)octonions: origins, variants, and modern context Phenomenology from Dirac equation with Euclidean-Minkowskian "gravity phase"

Reference 37

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Observation 56fe958f-24e1-44be-8e0d-2e8f4a5566ae · outbound

This paper cites Some recent results for $SU(3)$ and Octonions within the Geometric Algebra approach to the fundamental forces of nature.

The Dirac equation in (split-)octonions: origins, variants, and modern context Some recent results for $SU(3)$ and Octonions within the Geometric Algebra approach to the fundamental forces of nature

Reference 38

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Observation 43a11b6a-3e56-4918-a46f-7cc91b1550f3 · outbound

This paper cites On polynomial equations over split-octonions: the arbitrary field case.

The Dirac equation in (split-)octonions: origins, variants, and modern context On polynomial equations over split-octonions: the arbitrary field case

Reference 39

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Observation 4a890335-fc8f-48bd-8284-625258994001 · outbound

This paper cites Lopatin, A.

The Dirac equation in (split-)octonions: origins, variants, and modern context Lopatin, A

Reference 40

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Observation 838b84d7-10b7-4e6c-ae97-e011f48ba7fd · outbound

This paper cites On linear equations over split-octonions.

The Dirac equation in (split-)octonions: origins, variants, and modern context On linear equations over split-octonions

Reference 41

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Observation 0cfbd452-d59b-49a0-bf56-6326ac565406 · outbound

This paper cites Marques-Bonham, The Dirac equation in a non-Riemannian manifold III: An analysis using the algebra of quaternions and octonions, J.

The Dirac equation in (split-)octonions: origins, variants, and modern context Marques-Bonham, The Dirac equation in a non-Riemannian manifold III: An analysis using the algebra of quaternions and octonions, J

Reference 42

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Observation 3cbeed18-487b-4c23-a1fa-c90cc1efab42 · outbound

This paper cites Marques-Bonham, B.

The Dirac equation in (split-)octonions: origins, variants, and modern context Marques-Bonham, B

Reference 43

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Observation 897bd959-f5d2-43cb-a6ae-beb25f28d0e9 · outbound

This paper cites Dimensional Reduction.

The Dirac equation in (split-)octonions: origins, variants, and modern context Dimensional Reduction

Reference 44

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Observation 431c57d8-6004-456a-81c1-ec11fbde258e · outbound

This paper cites Octions: An $E_8$ description of the Standard Model.

The Dirac equation in (split-)octonions: origins, variants, and modern context Octions: An $E_8$ description of the Standard Model

Reference 45

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Observation 46eb4159-350b-4553-a4e7-a9b1bda2a146 · outbound

This paper cites Mus\`es, Hypernumbers and quantum field theory with a summary of physically applicable hypernumber arithmetics and their geometries, Appl.

The Dirac equation in (split-)octonions: origins, variants, and modern context Mus\`es, Hypernumbers and quantum field theory with a summary of physically applicable hypernumber arithmetics and their geometries, Appl

Reference 46

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Observation 6cfa66b7-e881-4e5e-9544-ea0031115ba4 · outbound

This paper cites Okubo, Introduction to Octonion and Other Non-Associative Algebras in Physics (1995), Cambridge Univ.

The Dirac equation in (split-)octonions: origins, variants, and modern context Okubo, Introduction to Octonion and Other Non-Associative Algebras in Physics (1995), Cambridge Univ

Reference 47

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Observation e59c1ab5-41af-478f-98cc-70a717661f71 · outbound

This paper cites Penney, Octonions and the Dirac equation, Am.

The Dirac equation in (split-)octonions: origins, variants, and modern context Penney, Octonions and the Dirac equation, Am

Reference 48

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Observation b97fce83-5d0a-4188-8ffa-2c84fa2b66fc · outbound

This paper cites Penney, Octonions and isospin, Nuovo Cimento B 3 (1971), 95-113.

The Dirac equation in (split-)octonions: origins, variants, and modern context Penney, Octonions and isospin, Nuovo Cimento B 3 (1971), 95-113

Reference 49

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Observation 9ba74d25-cf27-4212-8013-791fae3217ca · outbound

This paper cites Octonionic representations of Clifford algebras and triality.

The Dirac equation in (split-)octonions: origins, variants, and modern context Octonionic representations of Clifford algebras and triality

Reference 50

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Observation 70bd51fc-5196-4095-b117-b90be3a6350d · outbound

This paper cites Sudbery, Division algebras, (pseudo)orthogonal groups and spinors, J.

The Dirac equation in (split-)octonions: origins, variants, and modern context Sudbery, Division algebras, (pseudo)orthogonal groups and spinors, J

Reference 51

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Observation 330d34b6-f675-49ab-a490-0cb496c66fc7 · outbound

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The Dirac equation in (split-)octonions: origins, variants, and modern context Tan s l , M

Reference 52

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Observation 631fb301-6624-4f3a-b52e-ee0a789fa460 · outbound

This paper cites Tan s l , M.

The Dirac equation in (split-)octonions: origins, variants, and modern context Tan s l , M

Reference 53

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Observation 2b5cf180-0067-4490-b893-e824ed64a4a6 · outbound

This paper cites A unified field theory from a complexified quaternion-octonion Dirac equation.

The Dirac equation in (split-)octonions: origins, variants, and modern context A unified field theory from a complexified quaternion-octonion Dirac equation

Reference 54

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Observation 39a800f2-b238-4c4d-bb61-c83ba0470ed6 · outbound

This paper cites Field equations of electromagnetic and gravitational fields.

The Dirac equation in (split-)octonions: origins, variants, and modern context Field equations of electromagnetic and gravitational fields

Reference 55

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Pith citing papers

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