The Algebra of the Pseudo-Observables II: The Measurement Problem

TL;DR

This paper develops a comprehensive algebraic framework of pseudo-observables to address the quantum measurement problem, reconciling it with interpretations like Relational Quantum Mechanics and Quantum Bayesianism.

Contribution

It introduces a full mathematical structure for pseudo-observables, providing a novel approach to the quantum measurement problem and connecting it with existing interpretations.

Findings

Quantum state vectors are reinterpreted as auxiliary pseudo-observables.

The measurement process is deeply reanalyzed with original insights.

The theory aligns with Relational Quantum Mechanics and Quantum Bayesianism.

Abstract

In this second paper, we develop the full mathematical structure of the algebra of the pseudo-observables, in order to solve the quantum measurement problem. Quantum state vectors are recovered but as auxiliary pseudo-observables storing the information acquired in a set of observations. The whole process of measurement is deeply reanalyzed in the conclusive section, evidencing original aspects. The relation of the theory with some popular interpretations of Quantum Mechanics is also discussed, showing that both Relational Quantum Mechanics and Quantum Bayesianism may be regarded as compatible interpretations of the theory. A final discussion on reality, tries to bring a new insight on it.