Anomalous Dissipation and the Turbulent Cascade: A Variational Free-Energy Characterisation of Kolmogorov Scaling

DRAFT / PREPRINT. This is an advanced draft and may still be revised before journal submission. This record is Paper B / Skeleton in the turbulence split of the Functional Stability Theory programme. It develops the conditional Downhill Flux / NLw / ND route from K41-type free-energy monotonicity to anomalous dissipation. The unconditional K41 variational-minimiser theorem is isolated as Paper A: 10.5281/zenodo.20131305 (latest version 10.5281/zenodo.20234096). Thus this record should be read as the conditional cascade/anomalous-dissipation companion to the K41 variational theorem, not as the sole public location of the K41 result. CHANGELOG Changes in Version 1.6 (May 2026) Critical: The shell-energy Hessian…