coherent_pair_variation_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

Full two-family positive-density contact, deformation and aligned response.

Finite canonical component-action results, not physical particle selection.

Research context

Aligned coherent pair
The complete positive-density pair action has an aligned coherent stationary set with an explicit ambient Hessian and finite-mode nonlinear orbital stability.
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.