Structure of elementary particles in non-Archimedean spacetime.

摘要

We show that a generalized Poincare group defined over a field of characteristic ≠ 2 can be imbedded into the conformal group as a stabilizer of a null vector. We also show that the spacetime W is imbedded as a Zariski dense open subset of a smooth projective variety. In the case of a local field, this is a compactification of spacetime.;We present a treatment of the Mackey machine for projective representations and discuss an analogue of the theorem of Mackey for projective representations and introduce a new affine action. This theorem is used to give the particle classification over p-adic Minkowski space. Lastly, we prove that the massive particles and the so called eventually massive particles of the Poincare group do not have conformal symmetry.