English

Relativity of Observation: Operational Intensive Variables in Nonequilibrium Thermodynamics

Statistical Mechanics 2026-02-09 v1 Data Analysis, Statistics and Probability

Abstract

We formulate nonequilibrium thermodynamics in which intensive variables acquire operational meaning through measurement protocols consistent with local reciprocity. Using physical equilibrium as a reference, conjugate observables are constructed by continuously adjusting devices along the local tangent space of the statistical manifold. In this relativity of observation, Onsager reciprocity holds locally, allowing inference-based Lagrange multipliers to be directly measured. This provides a systematic method to extend operational definitions of intensive variables to nonequilibrium states, highlighting their context-dependent nature and offering a concrete experimental strategy.

Keywords

Cite

@article{arxiv.2602.06455,
  title  = {Relativity of Observation: Operational Intensive Variables in Nonequilibrium Thermodynamics},
  author = {Akihisa Ichiki},
  journal= {arXiv preprint arXiv:2602.06455},
  year   = {2026}
}