The Supergeometric Algebra

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Abstract

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.

Year of Publication
2023
Date Published
2023-02
Journal Title
Advances in Applied Clifford Algebras
Volume
33
Issue
1
ISBN Number
1661-4909
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