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.

中文翻译：

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迭代、马约拉纳费米子和马约拉纳-狄拉克方程

本文解释了一种构造代数的方法，从基本离散系统中的判别性质开始。我们展示了如何使用关于这些系统的观点来构建我们所说的迭代代数，以及这些代数如何自然地产生复数、克利福德代数和矩阵代数。论文讨论了薛定谔方程、狄拉克方程和马约拉纳狄拉克方程的结构，通过由彼得罗兰兹提出的幂零方法求出解。