periodic_dirac_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

Periodic spatial Dirac source response with both frequency components.

Finite Cartesian source identities and complete frequency-indexed field
resolvents check the projected response without assuming a photon current
or physical particle identification. Reports are timestamped by default.

Research context

Periodic spatial source response
The full response of a two-frequency spatial Dirac field reduces to a frequency-indexed moment equation that retains scalar-center motion, normal propagation and the conditions for source-sideband cancellation.
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.