An attempt to understand relational quantum mechanics

TL;DR

This paper explores mathematical formulations of relational quantum mechanics, aiming to clarify its core ideas and examine their implications, while also reviewing proposals for reconstructing quantum mechanics axiomatically from a relational perspective.

Contribution

It proposes a mathematical framework for relational quantum mechanics and reviews existing axiomatic approaches to its foundations.

Findings

Identifies potential mathematical structures for relational quantum mechanics

Analyzes the consequences of relational interpretation on quantum formalism

Provides an overview of axiomatic reconstructions of quantum mechanics

Abstract

We search for a possible mathematical formulation of some of the key ideas of the relational interpretation of quantum mechanics and study their consequences. We also briefly overview some proposals of relational quantum mechanics for an axiomatic reconstruction of the Hilbert space formulation of quantum mechanics.