paired_periodic_response_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

Full periodic response of two self-consistent nested Cartesian fields.

The two source clocks, both spatial polarizations, scalar centers and
reciprocal curvature are retained in a matched frequency-lattice regulator.

Research context

Reciprocal response with two spatial clocks
The full response of a readjusted nested pair retains two background frequencies, reciprocal shape coupling and both scalar centers, while spatial parity identifies which deformation-induced sidebands can survive.
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.