BIG-B19E: Prospective External Validation of Boundary-Core Diagnostics: Incremental Prediction and Exact Local Enstrophy-Budget Closure in Independently Maintained TIDE Turbulence

Prospective external validation of three frozen BIG-B19 boundary/core descriptors in the independently maintained TIDE incompressible-flow solver. The untouched primary holdout (seeds 4-5, n=1536) gives Delta R^2=-0.00284577 with hierarchical 95% CI [-0.01016985, 0.00421586], yielding NULL_OR_INCONCLUSIVE under the frozen rule. A separately frozen exact finite-control-volume enstrophy-budget audit on new seeds 6-7 (n=4608) closes to near machine precision, with maximum normalized residual 8.44e-16, but does not rescue the predictive result. At the primary 16 eta scale the historical P-D proxy remains weak and omitted local correction is dominated by advective transport. The study does not establish a Navier-Stokes regularity criterion, universal turbulence law, or universal BIG scalar.

Project repository

For the current research map, related BIG studies, representative figures, terminology, and links to the broader Boundary Information Geometry (BIG) research program, see:

Boundary Information Geometry (BIG) — GitHub Repository
https://github.com/Jun-Lucis/BIG-theory

The Zenodo record remains the archival and citable source for this research output. The GitHub repository serves as a navigational overview of the continuing BIG research program.