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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$

As of 15 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2607.18450.

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2607.18450 v1

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measured 37 of 37 reference resolution

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measured 37 of 37 standing notices

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37 of 37 outbound references displayed

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Outbound references

Observation d4ba3a1f-dfc0-4b71-91be-89fd0a92d9d7 · outbound

This paper cites For a one-generation Cl(0,8) model, see [31].

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ For a one-generation Cl(0,8) model, see [31]

Reference 1

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Observation 1c2c03fb-51f0-4981-ba14-db717a8a9367 · outbound

This paper cites Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra

Reference 2

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Observation bfa3b3e4-04b4-4ea0-aaf5-dabf773913a4 · outbound

This paper cites Generations: Three Prints, in Colour.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Generations: Three Prints, in Colour

Reference 3

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Observation f9d32e7d-fef3-48b9-a75b-29412e2a9259 · outbound

This paper cites The Unified Standard Model.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ The Unified Standard Model

Reference 4

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Observation 485c17c1-5616-4bec-b6bb-50d26217489f · outbound

This paper cites Three fermion generations with two unbroken gauge symmetries from the complex sedenions,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Three fermion generations with two unbroken gauge symmetries from the complex sedenions,

Reference 5

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Observation 2099c7b4-6ed5-4829-a151-8384f8b8e673 · outbound

This paper cites ACKNOWLEDGMENTS Elin, Janina, Yasmin, my bright, my bright, my bright.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ ACKNOWLEDGMENTS Elin, Janina, Yasmin, my bright, my bright, my bright

Reference 6

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Observation 4092130d-f54a-4d32-a649-f18cb5d10da8 · outbound

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

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Some recent results for $SU(3)$ and Octonions within the Geometric Algebra approach to the fundamental forces of nature

Reference 7

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Observation 1b0df676-bc45-4bfe-bb1f-2abe564c3aeb · outbound

This paper cites Bott Periodic Particle Physics,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Bott Periodic Particle Physics,

Reference 8

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Observation a8b73440-ca5f-4753-b7f7-22dfb0599292 · outbound

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

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra

Reference 9

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Observation b07b8521-2f59-4536-858c-065daa2277e0 · outbound

This paper cites Proposal for a Bott periodic Fock space,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Proposal for a Bott periodic Fock space,

Reference 10

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Observation e9793dd8-c6e4-4503-9593-e4287b91e275 · outbound

This paper cites Towards a full set of division algebraic representations for the Stan- dard Model,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Towards a full set of division algebraic representations for the Stan- dard Model,

Reference 11

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Observation 0f440988-d78e-416a-9f9f-0f37d4c2929a · outbound

This paper cites Quark structure and the oc- tonions,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Quark structure and the oc- tonions,

Reference 12

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Observation ca678877-4672-41ea-94f8-dc4c9c3cdc43 · outbound

This paper cites SO(8) Colour as possible origin of generations.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ SO(8) Colour as possible origin of generations

Reference 13

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Observation 9a327c5c-11bb-4981-b512-dc68c15da25d · outbound

This paper cites Notes on spinors in low dimension.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Notes on spinors in low dimension

Reference 14

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Observation 539c7fec-1cba-4210-9e44-5c5c0a962f7b · outbound

This paper cites Left-Right symmetric fermions and sterile neutrinos from complex split biquaternions and bioctonions.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Left-Right symmetric fermions and sterile neutrinos from complex split biquaternions and bioctonions

Reference 15

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Observation 079ef2f0-8078-4c74-b39d-0ba47878d36a · outbound

This paper cites From basic Twistor Theory to Split- Octonions. Does Twistor Theory also Address the SU(3) of Strong Interactions?,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ From basic Twistor Theory to Split- Octonions. Does Twistor Theory also Address the SU(3) of Strong Interactions?,

Reference 16

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Observation f15ab52d-0deb-4602-9ab9-8d45cfb72e0e · outbound

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

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Octions: An $E_8$ description of the Standard Model

Reference 17

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Observation 1f25260c-b05b-4a60-8a3b-9319b851d863 · outbound

This paper cites The Standard Model, The Exceptional Jordan Algebra, and Triality.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ The Standard Model, The Exceptional Jordan Algebra, and Triality

Reference 18

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Observation c74ec229-f8c5-4da6-aafc-092fb45e9023 · outbound

This paper cites Deducing the sym- metry of the Standard Model from the automorphism and structure groups of the exceptional Jordan algebra,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Deducing the sym- metry of the Standard Model from the automorphism and structure groups of the exceptional Jordan algebra,

Reference 19

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Observation 119a5cfd-4d32-41ba-91f7-d41ca523e262 · outbound

This paper cites Dixon-Rosenfeld Lines and the Standard Model.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Dixon-Rosenfeld Lines and the Standard Model

Reference 20

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Observation 932d4662-5a41-4878-8e76-b0b4d90702f2 · outbound

This paper cites The Standard Model Gauge Group from the Exceptional Jordan Algebra,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ The Standard Model Gauge Group from the Exceptional Jordan Algebra,

Reference 21

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Observation 5288abbf-c96b-466a-ad7a-265933ee7472 · outbound

This paper cites Nonassociative al- gebras in physics,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Nonassociative al- gebras in physics,

Reference 22

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Observation 9ea8a780-9db0-47e0-9225-eb1555d54d8c · outbound

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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Gravity and electromagnetism on conic 11 sedenions,

Reference 23

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This paper cites OnC⊗H⊗O-valued gravity, sedenions, Hermitian matrix geometry and nonsymmet- ric Kaluza Klein theory,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ OnC⊗H⊗O-valued gravity, sedenions, Hermitian matrix geometry and nonsymmet- ric Kaluza Klein theory,

Reference 24

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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ An Exceptional G(2) Extension of the Standard Model from the Correspondence with Cayley-Dickson Algebras Automorphism Groups

Reference 25

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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Color confinement and spatial dimensions in the complex-sedenion space,

Reference 26

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This paper cites Division Algebras; Spinors; Idempotents; The Algebraic Structure of Reality.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Division Algebras; Spinors; Idempotents; The Algebraic Structure of Reality

Reference 27

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Observation 1b4a74ed-276c-4cdc-a73a-0d6641259f5d · outbound

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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Division algebraic sym- metry breaking,

Reference 28

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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Particle models and noncommuta- tive geometry,

Reference 29

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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Commuting Clifford actions

Reference 30

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This paper cites Quantized Grassmann variables and unified theories,.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Quantized Grassmann variables and unified theories,

Reference 31

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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ A geometric basis for the standard model gauge group,

Reference 32

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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Quantized Fields \`a la Clifford and Unification

Reference 33

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Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ An Algebraic Roadmap of Particle Theories, Part I: General construction

Reference 34

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no resolver link, observed 2026-08-01T15:32:35.443657Z

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source=pdf_text observed=2026-08-01T15:32:35.443657Z digest=sha256:eb3710c641c986dfe3afcac7ba6472ad71a6b8065fcc3c6a58cda42d1eb29288

Observation b01be523-0f09-413f-9c83-045b9aaea584 · outbound

This paper cites An Algebraic Roadmap of Particle Theories, Part III: Intersections.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ An Algebraic Roadmap of Particle Theories, Part III: Intersections

Reference 35

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source=pdf_text observed=2026-08-01T15:32:35.496727Z digest=sha256:0196d3e96adfa194d57ebe23827ad270b2cfb728a93912cc0444dbefb81de59e

Observation ef869a60-ee08-47f1-bd50-e6a71d44660b · outbound

This paper cites Quasialgebra structure of the octonions.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ Quasialgebra structure of the octonions

Reference 36

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no resolver link, observed 2026-08-01T15:32:35.573937Z

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source=pdf_text observed=2026-08-01T15:32:35.573937Z digest=sha256:35748fb8d0ea9e1923ae7f514af6677d57eff89dec5aac71ac0e94b981828c72

Observation 80b07e0e-2caa-4b50-b042-8e3fbc0f37b6 · outbound

This paper cites In this current article, these irreps live in the full complex part.

Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset\mathbb{C}\subset\mathbb{H}\subset\mathbb{O}$ In this current article, these irreps live in the full complex part

Reference 37

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no resolver link, observed 2026-08-01T15:32:35.649065Z

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source=pdf_text observed=2026-08-01T15:32:35.649065Z digest=sha256:d41e0daf988b4198eddb11fea79d6a4150da3281802c3fb88f50f1e2ffeed960

Pith citing papers

No inbound Pith citation observations are available.