nuclear_depth_orbit_dimension_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

Scoped checks for literal deterministic one- and two-center orbits.

The projected force law is supplied, not derived from nuclear depth. Equal
second moments, a static potential minimum and imaginary eigenvalues are
tested separately from rotational roundness, orientation energy and drift.
NumPy only. Hermitian diagonalization in conserved-energy coordinates
propagates the oscillatory block; aligned free drift is handled analytically.

Research context

Nuclear Depth, the Four-Direction Orbit and Three-Dimensional Matter
A prescribed four-direction force supports deterministic precessing electron trajectories and bound two-centre motions at every fixed relative nuclear angle, with an aligned free-drift qualification. Its static minimum is angle-independent but its full energy is not; the emergence of three-dimensional bulk matter remain hypotheses requiring the coupled interaction.

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