coherent_kernel_inverse_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

Exact common-kernel constraints and finite-band coherent reconstruction.

The harmonic decomposition concerns an auxiliary mode-ray fibre. It is
not a choice of physical spatial topology or an added spatial dimension.

Research context

Current weights of the coherent scalar projection
Exact symmetric-index contractions identify the current weights of the smooth scalar kernel, while harmonic reconstruction and the canonical kinetic norm constrain routes to the simplex interaction.

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