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

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.

arXiv comment10 pages, contributed to the Castagnino Festschrift

References in corpus (5)

• Limits on the Measurability of Space-time Distances in (the Semi-classical Approximation of) Quantum Gravity
• Fundamental decoherence from quantum gravity: a pedagogical review
• Limitation to Quantum Measurements of Spacetime Distances
• The Montevideo interpretation of quantum mechanics: frequently asked questions
• Undecidability and the problem of outcomes in quantum measurements

Cited by in corpus (4)

• The Montevideo Interpretation of Quantum Mechanics: a short review
• Assessing the Montevideo Interpretation of Quantum Mechanics
• The Montevideo Interpretation: How the inclusion of a Quantum Gravitational Notion of Time Solves the Measurement Problem
• A single-world consistent interpretation of quantum mechanics from fundamental time and length uncertainties