polynomial_localized_core.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

A common polynomial binding core for the frequency-inertia inverse action.

The canonical mass frequency is independent of these radial fixed-point
amplitudes. The dimensionless law below is F(rho)=d*rho*(1-rho**2).

Research context

Response of localized simplex-frequency fields
Solved localized branches have identical finite lower-grade probe energies and forces at common profile, while complete current Hessians and bounded spatial spectra distinguish that coupling identity from stability.

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