Scaffolding of Spacetime

G. Sobczyk
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Abstract

The mathematical foundations of relativistic quantum mechanics is largely based upon the discovery of the Pauli and Dirac matrices. An algebra which lies at an even more fundamental level is the geometric Clifford algebra with metric signature (2,3)=(++---). In this geometric algebra both the fundamental Pauli vectors of space and the Dirac vectors of spacetime are factored into complex bivectors.
时空脚手架
相对论量子力学的数学基础很大程度上是基于泡利和狄拉克矩阵的发现。一个更基本的代数是度量特征为(2,3)=(++-)的几何Clifford代数。在这个几何代数中,空间的基本泡利向量和时空的狄拉克向量都被分解成复双向量。
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