论文标题
超几何代数
The Supergeometric Algebra
论文作者
论文摘要
纺纱剂是物理学的核心：所有物质（费米）都是由纺纱制成的，所有力均来自纺纱器的对称性。通常，将几何（Clifford）代数视为旋转器出现的基本大厦。本文提倡替代观点，即旋转器比几何代数更基本。代数由标量，柱旋转器，行旋转器，多元电机及其各种产品组成的代数组成，可以称为超几何代数。带有圆柱旋转器的行旋转器的内部产物产生标量，而根据Brauer-Weyl（1935）定理，带有行旋转器的柱子旋转器的外产物产生了多胎。禁止使用行旋转器或带有柱旋转器的柱旋转器的行乘积重现排除原理。突出显示了旋转器的索引是旋转器的索引。
Spinors are central to physics: all matter (fermions) is made of spinors, and all forces arise from symmetries of spinors. It is common to consider the geometric (Clifford) algebra as the fundamental edifice from which spinors emerge. This paper advocates the alternative view that spinors are more fundamental than the geometric algebra. The algebra consisting of linear combinations of scalars, column spinors, row spinors, multivectors, and their various products, can be termed the supergeometric algebra. The inner product of a row spinor with a column spinor yields a scalar, while the outer product of a column spinor with a row spinor yields a multivector, in accordance with the Brauer-Weyl (1935) theorem. Prohibiting the product of a row spinor with a row spinor, or a column spinor with a column spinor, reproduces the exclusion principle. The fact that the index of a spinor is a bitcode is highlighted.
