2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56693A quantum field F(x) exists at an event x of space-time in general only as a quadratic form. Only after smearing with a smooth test function we get an operator. In this paper the question is considered whether it is possible as well to smear F(x) with a singular test function T (i.e. a test distribution) supported by a smooth timelike curve. It is shown that this is always possible if F(x) satisfies the micro local spectrum condition and T belongs to a special class of distributions which retain some regularity in timelike directions. In the free field case these results are used to define some kind of time-translation along the curve which generalizes global space-time translations of Minkowski space.56 pagesMathematical PhysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory81T20, 81T05 (Primary) 58Jxx, 46L60 (Secondary)text