Generalized Lorentz transformations

被引：0

作者：

Robert Scheiber

机构：

来源：

Advances in Applied Clifford Algebras | 1999年 / 9卷 / 2期

关键词：

Clifford algebras; Dirac algebra; expanding universe; geometric algebra; Lorentz transformations; quaternions; Pauli algebra; parity; Poincaré transformation; space-time algebra; special relativity; SO(4) group; Zitterbewegung;

D O I：

10.1007/BF03042382

中图分类号：

学科分类号：

摘要：

A real representation of Dirac algebra, using η=diag(−1,1,1,1) as standard metric is discussed. Among other interesting properties it allows to define a generalization of Lorentz transformations. Ordinary boosts and rotations are subsets The additional transformations are shown to describe transformations to displaced systems, rotating systems, “charged systems”, and others. Poincaré transformations are shown to be approximations of these generalized Lorentz transformations. Appendix D gives an interpretation.

引用

页码：287 / 308

页数：21