Результаты исследований: Научные публикации в периодических изданиях › статья по материалам конференции › Рецензирование
Iterants and the Dirac Equation. / Kauffman, Louis H.
в: Journal of Physics: Conference Series, Том 1251, № 1, 012003, 01.01.2019.Результаты исследований: Научные публикации в периодических изданиях › статья по материалам конференции › Рецензирование
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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