coherent_pair_algebra.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

Complete two-family derivatives of one declared positive-density quartic.

The two families are orthogonal bundle components with canonical kinetic
metrics. This conditional finite action is not the full scalar Dirac action.
An active generating subspace can be used while retaining ambient FS factors.

Research context

Coherent pair deformation
A common positive-density quartic drives two coherent mode patterns into shape deformations, with reciprocal changes in contact fixed by conserved energy and rotation moments.
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.