radial_bifrequency_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

Exact radial two-frequency reduction and its kinetic normalization.

Arbitrary complex radial profiles are reconstructed in the actual spatial
Clifford field. Independent spatial derivatives, quadrature and radial
nonlinear evolution check the source, action and inherited instability.

Research context

Radial dynamics of two-frequency fields
An exact map from complex radial motion to the full two-frequency spatial field separates number norm from kinetic weight and transfers radial dynamics, source response and instability without a dimension-specific symmetry assumption.
Diagnostic catalog
Reproduction commands and scope descriptions for every local finite diagnostic and helper.

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