scalar_wave_quartets.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

Resonant classical scalar Dirac quartets with complete polarizations.

Plane-wave amplitude densities, not a quantized particle scattering rate.
The common frequency and four momenta define a first-order resonant
projection; the unrestricted local equation also produces other modes.

Research context

Resonant scalar wave quartets
Four positive-frequency spatial waves permit reciprocal scalar norm transfer; the exact coherent contraction and its sharp bound depend on complete polarization vectors, with a right-angle cancellation restricted to one polarization per chiral band.
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.