circulating_hartree_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

Circulating scalar Hartree shell: moments, source spectrum, and finite BdG block.

Research context

Circulating isotropic orbitals
Auxiliary model only: Pure excited orbitals can have isotropic position moments while carrying a full-rank circulation that supplies a conditional singlet spin source.
Hartree moment spectral stability
Auxiliary model only: Exact moment closure gives real linear frequencies for the isotropic circulating Hartree branch without establishing nonlinear stability or selecting particle indices.
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.