Thermodynamic Extremes from Finnish Saunas to Lunar Vacuum Data Centers: Radiative Entropy Dissipation, Deterministic QFS-zkVM Load Shedding, and Human-in-Command Interlocks under RTO P2.0

Operating high-density autonomous computational infrastructure on the lunar surface presents an unforgiving thermodynamic boundary condition: in a hard vacuum (10⁻¹² Torr), convective and conductive atmospheric heat dissipation vanish, leaving only Stefan-Boltzmann radiative rejection (Prad = ε σ A (Trad⁴ - Tₑₙᵥ⁴)) against severe solar irradiance during the 354-hour lunar day (Tsurf ≈ 390 K). This monograph establishes a rigorous homeostatic isomorphism between human thermoregulation in hyperthermic sauna environments—where ambient temperature exceeds core physiological thresholds and convective heat loss reverses into heat gain—and autonomous load governance in lunar data centers. By formalizing the Landauer–Stefan–Boltzmann coupling over the 64-bit Goldilocks prime field (Fₚ, p = 2⁶⁴ - 2³² + 1), we introduce a deterministic thermodynamic interlock architecture under Real-Time Operations Protocol 2.0 (RTO P2.0). Using Quantum-Safe Zero-Knowledge Virtual Machines (QFS-zkVM), Quantum-Safe Autonomous Fault Attestation (Q-SAFA), and the PHOENIX_BRIDGE / PHOENIX_ROUTER hardware telemetry fabric, the system enforces pre-emptive computational throttling ("computational hidrosis") and cold-lava-tube fail-safe state migration ("cold-plunge state anchoring") before silicon junction temperatures reach decoherence or thermal runaway limits. Finally, we map these physical-layer thermodynamic constraints onto statutory and fiduciary governance frameworks, demonstrating how deterministic Human-in-Command (HIC) thermal circuit breakers satisfy SEC Rule 15c3-5 pre-execution risk principles and Delaware Caremark board oversight duties for extraterrestrial infrastructure.