Entropy, Throughput, and the Structural Impossibility of Marxist Implementation: Why a System That Forbids Losses Is Constipated and Dies

This technical note reframes political-economic systems as thermodynamic throughput problems. Using a minimal two-variable model—accumulated structural incoherence (א) and real-time discharge capacity (Ψ)—we show that any architecture must satisfy Ψ(t) ≥ G(t) (disorder generation) to avoid systemic poisoning. Classical Marxist implementation abolishes market-based error valves (bankruptcy, price signals, decentralized exit), forcing Ψ → 0 while א grows exponentially. Case studies (USSR 1960-1989, Maoist China 1958-76, Cuba 1959-2024) display identical precollapse signatures: rising א/Ψ ratio > 1, repression as substitute throughput, and final implosion once toxicity crosses the irreversible boundary. The result is independent of ideology or goodwill; it is a boundary-condition violation of the universal waste-discharge law. Marxist economies are not inefficient—they are structurally impossible.