Undecidability as solution to the problem of measurement: fundamental criterion for the production of events

摘要

In recent papers we put forth a new interpretation of quantum mechanics,colloquially known as ``the Montevideo interpretation''. This interpretation isbased on taking into account fundamental limits that gravity imposes on themeasurement process. As a consequence one has that situations develop where areduction process is undecidable from an evolution operator. When such asituation is achieved, an event has taken place. In this paper we sharpen thedefinition of when and how events occur, more precisely we give sufficientconditions for the occurrence of events. We probe the new definition in anexample. In particular we show that the concept of undecidability used is not``FAPP'' (for all practical purposes), but fundamental.