coherent_peak_action_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

Test an inverse local coherent-intensity action, not a master derivation.

The projective ray labels local mode data. Physical spatial dimensions
remain those of the specified base manifold. The bundle-valued kinetic
field and its relation to actual derivatives require separate justification.

Research context

Coherent peak contact and smooth response
Peak coherent intensity gives an exact local contact action near its coherent branch, while a smooth logarithmic replacement has calculable mass corrections, an energy-frequency defect and a full spatial spectral criterion.

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