This preprint develops a unified thermodynamic and game-theoretic framework for the analysis of monetary systems, with particular focus on Bitcoin as a proof-of-work-based digital monetary architecture. The work combines concepts from thermodynamics, information theory, game theory, monetary economics, and econophysics to investigate how monetary systems may be understood as coordination systems operating under informational, institutional, and physical constraints. The manuscript introduces a distinction between monetary entropy, associated with uncertainty in monetary issuance, layered claims, and purchasing-power instability, and physical entropy generated through irreversible energy dissipation in proof-of-work systems. Building on this distinction, the concept of monetary temperature is proposed and operationalized through purchasing-power volatility and related coordination variables. Within this framework, Bitcoin is interpreted as a thermodynamically enforced Nash-equilibrium system in which strategic stability is constrained through irreversible physical cost. Comparative analysis of Bitcoin, gold, and fiat monetary systems suggests that monetary architectures can be understood as evolving entropy-management architectures adapted to different technological and civilizational conditions. Finally, the paper proposes an evolutionary interpretation of monetary history in which monetary systems function as mechanisms for stabilizing large-scale human cooperation under increasing informational complexity. Monetary evolution is interpreted as a cooling process in which declining volatility corresponds to increasing coordination maturity and stabilization across expanding economic networks. Keywords: Bitcoin, thermodynamics, Nash equilibrium, monetary entropy, entropy-management architectures, proof-of-work, econophysics, monetary systems, monetary temperature, game theory.
Stephan Hueffer (Tue,) studied this question.