Definite and Indefinite Unitary Time Representations for Hilbert and Non-Hilbert Spaces

Abstract

Stable states (particles), ghosts and unstables states (particles) are discussed with respect to the time representations involved, their unitary groups and the induced Hilbert spaces. Unstable particles with their decay channels are treated as higher dimensional probability collectives with nonabelian probability groups U(n) generalizing the individual abelian U(1)-normalization for stable states (particles).