Global observables in statistical mechanics
Mathematical Physics
2025-10-31 v1 math.MP
Abstract
This note presents a canonical construction of global observables -- sometimes referred to in the literature as macroscopic observables or observables at infinity -- in statistical mechanics, providing a unified treatment of both commutative and non-commutative cases. Unlike standard approaches, the framework is formulated directly in the -algebraic setting, without relying on any specific representation.
Cite
@article{arxiv.2510.26736,
title = {Global observables in statistical mechanics},
author = {C. J. F. van de Ven},
journal= {arXiv preprint arXiv:2510.26736},
year = {2025}
}