coupled_scalar_envelope_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

Reciprocal scalar envelopes from readjusted nested Dirac profiles.

No independent pair coefficient. This is a specified variational envelope
model; bound-profile and polarization stability remain separate questions.

Research context

Reciprocal scalar envelopes
Readjusting both nested spatial Dirac profiles derives a reciprocal scalar coupling matrix and distinct common and relative amplitude responses from one interaction coefficient.
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.