The Inaccessible Game
Information Theory
2025-11-11 v1 math.IT
Abstract
In this paper we introduce the inaccessible game, an information-theoretic dynamical system constructed from four axioms. The first three axioms are known and define \emph{information loss} in the system. The fourth is a novel \emph{information isolation} axiom that assumes our system is isolated from observation, making it observer-independent and exchangeable. Under this isolation axiom, total marginal entropy is conserved: . We consider maximum entropy production in the game and show that the dynamics exhibit a GENERIC-like structure combining reversible and irreversible components.
Keywords
Cite
@article{arxiv.2511.06795,
title = {The Inaccessible Game},
author = {Neil D. Lawrence},
journal= {arXiv preprint arXiv:2511.06795},
year = {2025}
}