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

TL;DR

This paper refines the concept of event occurrence in quantum mechanics by linking it to undecidability arising from fundamental gravity limits, providing a more precise and fundamental criterion for measurement outcomes.

Contribution

It introduces a rigorous, fundamental criterion for events in quantum mechanics based on undecidability caused by gravity-imposed measurement limits, advancing the Montevideo interpretation.

Findings

Undecidability is a fundamental criterion for event occurrence.

A new sufficient condition for events is proposed and exemplified.

The concept of undecidability is shown to be not merely practical but fundamental.

Abstract

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