Paley–Wiener Axis-Core Extremal

Connections

This package directly elevates the finite-dimensional monotonicity obstacle of the previous package to a continuous problem, quoted exactly as is.

"The strongest conclusion of v0.5 is not the failure of a specific set of notches, but the monotonicity within a finite space... This forces the research route to make a choice: continue adding external atoms without being able to judge when it will be enough, or directly define a continuous space containing all admissible directions." — Excerpt from Technical Notes §1.1 of this package.

Technical Notes

Main Document — Continuous space construction, positive trace-class primal and axis-band/core measure dual, rank-two closed-form formula, Galerkin convergence, direct Green kernel atomic transfer, α=21/20 rational candidate, and 2×2 Schur certification.

Theorem

From THEORY.md in the package.

Result Data

Single-point extremal table, Galerkin convergence sequence, Green kernel cross-validation, and Schur minimum eigenvalue of the rational candidate, from RESULTS.md within the package.

Trust Boundaries

From TRUST_BOUNDARY.md within the package.

Files

Large data for Galerkin convergence (galerkin_joint_convergence.json, 41 KB) and inherited parent node data are not listed individually; they are all included in the complete zip file.

sha256 9f53bc381eb99e9f3feba10701dd40d846463ba049dc082961dcf27ccba9958c