cylindrical_petal_continuation_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

Continue an exact L=3 petal orbit toward the finite cylindrical kernel.

The exact orbit occupies coordinates (0,1,3,4), an invariant four-dimensional
sector. Removing the two identically unused coordinates makes periodic
shooting much better conditioned than the unreduced 6D boundary-value attempt.

Research context

Cylindrical petal continuation
Fixed-Casimir shooting supplies near-recurrent candidates, but independent integration refinement rejects the saved nonzero checkpoints at the stated closure tolerance.
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.