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arXiv · 2511.06795

The Inaccessible Game

Neil D. Lawrence
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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: $\sum_i h_i = C$. We consider maximum entropy production in the game and show that the dynamics exhibit a GENERIC-like structure combining reversible and irreversible components.

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Neil D. Lawrence. 2025-11-10. The Inaccessible Game. https://arxiv.org/abs/2511.06795

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