entropy-difference-spectrum-checks.py

IDWT's physical premise is one infinite-dimensional manifold with all sectors nested as submanifolds. Particle depth counts macroscopic spatial dimensions; matrix and field-component counts in a calculation add no physical dimensions.

Calculation record

Standalone rational certification of the entropy-difference Hermite spectrum.

Run: python3 -B entropy-difference-spectrum-checks.py
Uses Python 3 standard library only. Writes a dated JSON report beside this
script. Covers 5940 exact pair signs and the analytic high-degree tail, all
six width multiplicities, and the exact finite-filter obstruction certificate.
This is the original second-spatial-order action, with no stabilizing term.
No exploratory optimization or private source files are needed.

Research context

Entropy-Difference Field Action with Exact Localized Patterns and Global Evolution
A signed Gaussian entropy-difference action has exact moving two-width Gaussian patterns, global finite-energy evolution and Gaussian-family persistence. Its complete Hermite spectrum has growing non-Gaussian modes, and finitely many filters of the same type cannot stabilize every mixed-width branch. The common support clock does not derive the particle mass family.

Interpret numerical checks within the assumptions and limitations documented in these notes.