Antiparticles from Special Relativity with Orth-Chronous and Anti-Chronous Lorentz Transformations

摘要

Special relativity can be based on the whole proper group of both ortho- and anti-chronous Lorentz transformations, and a clear physical meaning can be given also to antichronous (i.e., nonorthochronous) Lorentz transformations. From the active point of view, the latter require existence, for any particle, of its antiparticle within a purely relativistic, classical context. From the passive point of view, they give rise to frames ''dual'' of the ordinary ones, whose properties - here briefly discussed - are linked with the fact that in physics it is impossible to teach another, far observer (by transmitting only instructions, and no physical objects) our own conventions about the choices right/left, matter/antimatter, and positive/negative time direction. Interesting considerations follow, in particular, by considering - as it is the case - the CPT operation as an actual (even if antichronous) Lorentz transformation. (ERA citation 07:063777)