oscillator_parent_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

Canonical oscillator-parent residual, perturbation and signed response.

Research context

A canonical mode-field realization of the collective source
A current-dependent oscillator square realizes the collective source inside one canonical mode field and preserves its frequencies exactly; replacing its moment interaction by an operator product creates an omitted source and shifts those frequencies.

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