A local-time-induced unique pointer basis

Abstract

There is a solution to the problem of asymptotic completeness in many body scattering theory that offers a specific view of the quantum unitary dynamics which allows for the straightforward introduction of local time for every, at least approximately closed, many-particle system. In this approach, Time appears as a hidden classical parameter of the unitary dynamics of a many-particle system. We show that a closed many-particle system can exhibit behavior that is characteristic for open quantum systems and there is no need for the "state collapse" or environmental influence. On the other hand, closed few-particle systems bear high quantum coherence. This local time scheme encompasses concepts including "emergent time", "relational time" as well as the "hybrid system" models with possibly induced gravitational uncertainty of time.