Standard

Iterants and the Dirac Equation. / Kauffman, Louis H.

In: Journal of Physics: Conference Series, Vol. 1251, No. 1, 012003, 01.01.2019.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Kauffman, LH 2019, 'Iterants and the Dirac Equation', Journal of Physics: Conference Series, vol. 1251, no. 1, 012003. https://doi.org/10.1088/1742-6596/1251/1/012003

APA

Kauffman, L. H. (2019). Iterants and the Dirac Equation. Journal of Physics: Conference Series, 1251(1), [012003]. https://doi.org/10.1088/1742-6596/1251/1/012003

Vancouver

Kauffman LH. Iterants and the Dirac Equation. Journal of Physics: Conference Series. 2019 Jan 1;1251(1):012003. doi: 10.1088/1742-6596/1251/1/012003

Author

Kauffman, Louis H. / Iterants and the Dirac Equation. In: Journal of Physics: Conference Series. 2019 ; Vol. 1251, No. 1.

BibTeX

@article{f0d8cdcf3a124251b48d080f68467f57,
title = "Iterants and the Dirac Equation",
abstract = "This paper introduces the concept of iterant algebra and applies it to the formation of basic Clifford algebras including a reconstruction of the complex numbers in terms of a formalization of temporal process. Iterant algebra is shown to include all of matrix algebra and applications are given to a representation of the su(3) Lie algebra for the Standard Model and to the construction of the Dirac Equation. This construction of the Dirac Equation makes it clear how solutions arise from nilpotent elements in the Clifford algebra and how Fermion algebra and the algebra of Majorana Fermions emerges in this context. The paper ends with a formulation of the original Majorana Dirac Equation in terms of Clifford algebra in the context of iterants.",
author = "Kauffman, {Louis H.}",
year = "2019",
month = jan,
day = "1",
doi = "10.1088/1742-6596/1251/1/012003",
language = "English",
volume = "1251",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",
note = "11th International Symposium, Advances in Fundamental Physics, Prelude to Paradigm Shift Honoring Noted Mathematical Physicist Jean-Pierre Vigier ; Conference date: 06-08-2018 Through 09-08-2018",

}

RIS

TY - JOUR

T1 - Iterants and the Dirac Equation

AU - Kauffman, Louis H.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - This paper introduces the concept of iterant algebra and applies it to the formation of basic Clifford algebras including a reconstruction of the complex numbers in terms of a formalization of temporal process. Iterant algebra is shown to include all of matrix algebra and applications are given to a representation of the su(3) Lie algebra for the Standard Model and to the construction of the Dirac Equation. This construction of the Dirac Equation makes it clear how solutions arise from nilpotent elements in the Clifford algebra and how Fermion algebra and the algebra of Majorana Fermions emerges in this context. The paper ends with a formulation of the original Majorana Dirac Equation in terms of Clifford algebra in the context of iterants.

AB - This paper introduces the concept of iterant algebra and applies it to the formation of basic Clifford algebras including a reconstruction of the complex numbers in terms of a formalization of temporal process. Iterant algebra is shown to include all of matrix algebra and applications are given to a representation of the su(3) Lie algebra for the Standard Model and to the construction of the Dirac Equation. This construction of the Dirac Equation makes it clear how solutions arise from nilpotent elements in the Clifford algebra and how Fermion algebra and the algebra of Majorana Fermions emerges in this context. The paper ends with a formulation of the original Majorana Dirac Equation in terms of Clifford algebra in the context of iterants.

UR - http://www.scopus.com/inward/record.url?scp=85069952570&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1251/1/012003

DO - 10.1088/1742-6596/1251/1/012003

M3 - Conference article

AN - SCOPUS:85069952570

VL - 1251

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012003

T2 - 11th International Symposium, Advances in Fundamental Physics, Prelude to Paradigm Shift Honoring Noted Mathematical Physicist Jean-Pierre Vigier

Y2 - 6 August 2018 through 9 August 2018

ER -

ID: 21146092