lower_dimension_response_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

Dimensional discrimination within the stated orthogonal-complex model.

Checks a 4D static obstruction, an autonomous reciprocal 4D counterexample,
and the non-uniqueness of the chosen nonlinear petal readout. Not an atom fit.

Research context

Dimensional precession test
Six dimensions are minimal for the stated static plane-induced precession mechanism, but a reciprocal 4D model also precesses and an unconstrained nonlinear readout cannot identify particle depth.
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.