Spacetime Geometry with Geometric Calculus

被引：3

作者：

Hestenes, David ^{[1
]}

机构：

[1] Arizona State Univ, Dept Phys & Astron, Tempe, AZ 85287 USA

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2020年 / 30卷 / 04期

关键词：

Principle of equivalence; Gauge Theory Gravity; Differential manifolds; GRAVITY;

D O I：

10.1007/s00006-020-01076-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Geometric Calculusis developed for curved-space treatments of General Relativity and comparison is made with the flat-space gauge theory approach by Lasenby, Doran and Gull. Einstein's Principle of Equivalence is generalized to a gauge principle that provides the foundation for a new formulation of General Relativity as a Gauge Theory of Gravity on a curved spacetime manifold. Geometric Calculus provides mathematical tools that streamline the formulation and simplify calculations. The formalism automatically includes spinors so the Dirac equation is incorporated in a geometrically natural way.

引用

页数：25

共 20 条

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