excited_scalar_resonance_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

Check reciprocal spatial resonances on fully dressed local Dirac branches.

The particle indices are unchanged. The specified local scalar law is a
control, not a mass fit, a measured decay mechanism or a selected geometry.

Research context

Reciprocal scalar response of excited spatial branches
A near-resonance derived from the common scalar action predicts spatial instabilities on nonlinearly dressed branches at the unchanged assigned indices, with converged full differential residuals and a direct constraint on the coupling response required by an inverse mass law.
Diagnostic catalog
Reproduction commands and scope descriptions for every local finite diagnostic and helper.

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