As cloud computing scales toward the Exascale regime ($10^5+$ nodes), the prevailing "Newtonian" orchestration paradigm -- exemplified by Kubernetes -- approaches fundamental physical limits. The centralized, deterministic scheduling model suffers from $O(N)$ latency scaling, "Head-of-Line" blocking, and thermodynamic blindness, rendering it incapable of managing the stochastic chaos of next-generation AI workloads. This paper proposes a paradigm shift from orchestration to Thermodynamic Governance. We model the compute cluster not as a static state machine, but as a Dissipative Structure far from equilibrium. We introduce TEG (Thermo-Economic Governor), a decentralized architecture that establishes a rigorous topological isomorphism between cluster resource contention and many-body physics. TEG replaces the global scheduler with Langevin Agents that execute Brownian motion on a Holographic Potential Field, reducing decision complexity to $O(1)$. System stability is maintained via a macro-scale Landau Phase Transition mechanism, which modulates global damping (taxation) to physically dissolve deadlocks. Crucially, we enforce Token Evaporation to mirror entropy dissipation, preventing economic inflation and ensuring an open thermodynamic system. We provide formal theoretical analysis proving that: (1) The system converges asymptotically to a Nash Equilibrium via Dual-Number Damping; (2) OOM catastrophic failures are converted into manageable Glassy States via an OS-level Airlock Mutex; and (3) Safety is mathematically guaranteed under high inertia using High-Order Control Barrier Functions (HOCBF). TEG demonstrates that emergent order, rather than deterministic control, is the necessary condition for Exascale scalability.

翻译：随着云计算向百亿亿次规模（$10^5+$ 节点）扩展，以 Kubernetes 为代表的现行“牛顿式”编排范式正逼近基本物理极限。这种集中式、确定性的调度模型存在 $O(N)$ 的延迟扩展、“队头阻塞”以及热力学盲区等问题，使其无法有效管理下一代人工智能工作负载的随机混沌性。本文提出从编排范式转向热力学治理的范式变革。我们将计算集群建模为一个远离平衡态的耗散结构，而非静态状态机。我们提出了 TEG（热经济调控器），这是一种去中心化架构，在集群资源竞争与多体物理之间建立了严格的拓扑同构。TEG 用朗之万代理取代全局调度器，这些代理在全息势场上执行布朗运动，将决策复杂度降至 $O(1)$。系统稳定性通过宏观尺度的朗道相变机制维持，该机制通过调节全局阻尼（税收）来物理性地消解死锁。至关重要的是，我们引入代币蒸发机制以模拟熵耗散，防止经济通胀并确保系统为开放的热力学系统。我们提供了形式化的理论分析，证明：(1) 系统通过双数阻尼渐近收敛至纳什均衡；(2) OOM 灾难性故障可通过操作系统级的隔离互斥锁转化为可管理的玻璃态；(3) 在高惯性条件下，使用高阶控制屏障函数（HOCBF）可在数学上保证安全性。TEG 表明，涌现秩序而非确定性控制，是实现百亿亿次可扩展性的必要条件。