coupling-localization-scale-batch.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 whether one same-field interaction can localize a scale profile.

Research context

Coupling as the source of localization and mass-frequency
A same-field interaction may generate mass by sustaining a localized oscillating pattern. A scale calculation shows why simple contact alone does not bind and how competing terms can select a radius, while the complete frequency, inertia and pair response remain to be derived.

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