The Landauer Bound for Corrective Feedback: Coherence as a Thermodynamic Necessity

This paper provides the thermodynamic foundation for the Spektre corpus collapse results. Corrective feedback — the process by which a system erases false representations and replaces them with coherent ones — is subject to Landauer’s principle: each erasure of one bit of incorrect information requires a minimum energy of kBT ln 2. From this we derive a Landauer bound for corrective feedback and show that systems suppressing the falsifiability channel F (t) avoid this energetic cost in the short term but permit incoherent information to accumulate, producing unbounded entropy growth by the second law. Collapse is therefore not only a dynamical necessity (CIT) but a thermodynamic necessity. The 1=1 invariant is identified as the minimum-entropy state of any information architecture. Three independent frameworks — logical, dynamical, and thermodynamic — converge on the same object. Part of the Spektre corpus (github. com/spektre-labs/corpus).