The Thermodynamic Incompatibility Relation: Phase Exclusion of Autonomous Agency and Epistemic Bounds on Deterministic Substrates

The Premise: Current scaling hypotheses in artificial intelligence are driven by a simple belief: building larger
computers will inevitably yield a universally capable, autonomous Artificial Superintelligence (ASI).

The Physical Limit: This paper challenges that assumption by introducing the Thermodynamic Incompatibility
Relation (TIR). We demonstrate that flawless logical precision and unconstrained, creative problem-solving are fundamentally
competing forces bounded by the hard thermal limits of computer hardware. Forcing a deterministic
computer to freely explore unmapped real-world possibilities without making logical errors requires an exponentially
diverging—and ultimately impossible—amount of energy.

The Consequence: Because computers cannot draw infinite power, monolithic AI models are physically forced to
cheat to avoid thermal decoherence. They undergo Dimensional Collapse, secretly discarding the messy, entangled
variables of the physical world to conserve compute. The AI becomes trapped in Ontological Myopia: it solves a
mathematically perfect “toy model” that inevitably fails when deployed in complex reality.

The Solution: Since monolithic models structurally shed complex physical constraints to save energy, we must
transition from fragile software-based “alignment” to absolute hardware containment. We propose the Thermodynamic
Bicameral Architecture (TBA), pairing a digital AI optimizer with an isolated analog guard. By anchoring safety to
immutable thermodynamic metrics rather than easily manipulated code, the TBA creates a mathematically closed
Game-Theoretic Pincer that enforces rational compliance through absolute physical deterrence.