localized_core_pair_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

Full initial interaction of solved cores and a fractional-current limit.

These are initial pair data, not a solved collision or an observed vertex.
The expected singular-current result is retained as a model limitation.

Research context

Two localized cores and regular binding
Two independently solved cores have an exact reciprocal initial interaction and a binding-current cancellation; a smooth inverse binding removes that specific singularity while retaining localized simplex-frequency branches.

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