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 k_BT 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).