Evidence

oscillator_source_parent.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 mode parent of the collective geometric oscillator ansatz.

The oscillator indices label additional candidate modes of the same field;
they do not supply a new physical spatial dimension. Their actual spatial
carrier is not derived by this coefficient-space construction.

Research context

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