reciprocal_cylindrical_molecule_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

Translationally invariant cylindrical electron--nuclear rotor system.

The completed angular source is written in electron--central-nucleus relative
coordinates, so its force on the electron has an equal visible reaction on the
central depth-three nucleus.

Research context

Reciprocal cylindrical molecule
A 6D electron, relative angular source, moving finite cylindrical nuclei, and flexible nuclear-plane rotors form one translation-invariant reciprocal Hamiltonian with verified energy and Noether-charge conservation.

Interpret numerical checks within the assumptions and limitations documented in these notes.