polarized_pulse_collision_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

Polarized collisions and outgoing spatial radiation in the component benchmark.

The exact collision calculation concerns the derived local induced-area action.
The separate radiation calculation retains the complete radial quadrupole
Hessian. Neither identifies these displacements with physical photons.

Research context

Polarized pulse collisions
The derived local displacement action gives exact reciprocal pulse delays while retaining both vector waveforms, and its causal cubic equation identifies where the full spatial response enters.
Polarized spatial radiation
Both complex pulse polarizations determine an exact outgoing quadrupole source, whose full spatial spectral measure fixes radiated energy and a low-frequency suppression law.
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.