Аннотация
This paper explains a method of constructing algebras, starting with the properties of discrimination in elementary discrete systems. We show how to use points of view about these systems to construct what we call iterant algebras and how these algebras naturally give rise to the complex numbers, Clifford algebras and matrix algebras. The paper discusses the structure of the Schrödinger equation, the Dirac equation and the Majorana Dirac equations, finding solutions via the nilpotent method initiated by Peter Rowlands.
Язык оригинала | английский |
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Номер статьи | 1373 |
Журнал | Symmetry |
Том | 13 |
Номер выпуска | 8 |
DOI | |
Состояние | Опубликовано - авг. 2021 |
Предметные области OECD FOS+WOS
- 1.02 КОМПЬЮТЕРНЫЕ И ИНФОРМАЦИОННЫЕ НАУКИ
- 1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ
- 1.04 ХИМИЧЕСКИЕ НАУКИ
- 1.01 МАТЕМАТИКА