Relativistic Light-Cone Bounds and the Collapse of Interplanetary Ledger Narratives: Thermodynamic and Institutional Obsolescence of Proof-of-Work Assets under Deterministic Sovereign Governance

This monograph establishes a rigorous relativistic, thermodynamic, and institutional proof demonstrating the physical impossibility of synchronous interplanetary blockchain consensus and the consequent collapse of speculative Proof-of-Work (PoW) asset valuations. First, operating within Minkowski spacetime geometry, we prove that the invariant speed of light (c = 299,792,458 m/s) imposes an insurmountable causal horizon (tau_min = D/c) across cis-lunar (~1.28 s) and interplanetary Earth-Mars (~182 s to 1,342 s) baselines. For any probabilistic global ledger characterized by block generation rate lambda = 1/T_b, the causal fork divergence probability P_fork = 1 - exp(-2lambdaD/c) asymptotically approaches unity across astronomical distances, resulting in irreversible state partitioning. Second, we formulate a thermodynamic valuation model demonstrating that upon the falsification and collapse of extrinsic "interplanetary monetary standard" narratives, unbacked PoW assets with zero endogenous utility (U_int = 0) degenerate strictly into macroscopic entropy-generation mechanisms (S_dot_gen = P_elec / T_env >> 0), dissipating high-grade electrical exergy into waste heat without executing productive physical-layer state transitions. Third, we contrast this probabilistic obsolescence against a deterministic sovereign architecture governed by a 64-bit Goldilocks prime field (F_p, p = 2^64 - 2^32 + 1) zero-knowledge virtual machine (QFS-zkVM), Q-SAFA cryptographic hardware interlocks, PHOENIX_BRIDGE / PHOENIX_ROUTER causal-domain routing, and Human-in-Command (HIC) constitutional oversight. Finally, we prove that under U.S. SEC Rule 15c3-5 pre-trade risk mandates and Delaware Caremark fiduciary standards, institutional fiduciaries are legally barred from integrating non-deterministic, fork-prone, and thermodynamically dissipative PoW protocols into sovereign or enterprise clearing infrastructures. Governed under Creative Commons Attribution 4.0 International (CC BY 4.0) with Strict No-Learn Covenant (NLL-v1.0-2026). ====================================================================== STRICT NOTICE REGARDING INTELLECTUAL PROPERTY, COMMERCIAL LICENSING, AND PROHIBITION OF UNAUTHORIZED AI TRAINING AND UTILIZATION ====================================================================== 1. 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