  I discuss the indefinite metrical structure of the time-space translations as
realized in the indefinite inner products for relativistic quantum fields,
familiar in the example of quantum gauge fields. The arising indefinite unitary
nondiagonalizable representations of the translations suggest as the positive
unitarity condition for the probability interpretable positive definite
asymptotic particle state space the requirement of a vanishing nilpotent part
in the time-space translations realization. A trivial Becchi-Rouet-Stora charge
(classical gauge invariance) for the asymptotics in quantum gauge theories can
be interpreted as one special case of this general principle - the asymptotic
projection to the eigenstates of the time-space translations.
