completed_coulomb_petals_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

Relative equilibria of the quadratically completed Coulomb/source model.

Research context

Completed Coulomb petals
The quadratically completed Coulomb–angular-source Hamiltonian has exact autonomous signed-rose relative equilibria; the one-electron L=2 and L=4 petal branches have no resolved exponential mode, while every tested antipodal pair branch is unstable.
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.