| Abstract: | 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.
Ubi materia, ibi geometria (Johannes Kepler) |
