Factnets: Towards a Mathematical Framework for Relational Quantum Mechanics
Abstract
The relational interpretation of quantum mechanics (RQM) has received a growing interest since its first formulation in 1996. Usually presented as an interpretational layer over the usual quantum mechanics formalism, it appears as a philosophical perspective without proper mathematical counterparts. This state of affairs has direct consequences on the scientific debate on RQM which still suffers from misunderstandings and imprecise statements. In an attempt to clarify those debates, the present paper proposes a radical reformulation of the mathematical framework of quantum mechanics which is relational from the start: factnets. The core idea is that all statements about the world, facts, are binary entities involving two systems that can be symmetrically thought of as observed and observer. We initiate a study of the factnets formalism and outline how it can shed new relational light on some familiar quantum features.
 Publication:

Foundations of Physics
 Pub Date:
 February 2023
 DOI:
 10.1007/s1070102200653y
 arXiv:
 arXiv:2204.00335
 Bibcode:
 2023FoPh...53...26M
 Keywords:

 Relational quantum mechanics;
 Graph theory;
 Interpretation of quantum mechanics;
 Hilbert space;
 Facts;
 Quantum Physics
 EPrint:
 doi:10.1007/s1070102200653y