The Inaccessible Game

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.

• Publication year

  2025

• Venue

  arXiv.org

• Publication date

  2025-11-10

• Fields of study

  Mathematics, Physics, Computer Science

• Identifiers
  DOI 10.48550/arXiv.2511.06795arXiv 2511.06795
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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