Calculation record

Reproducible localized scalar packets and a specified future-contact control.

The contact comparison removes free propagation by a unitary inverse and
then compares two prescribed free encounters. It is a spatial-pattern
functional, not a measured rate or a claim of automatic physical refocusing.

Research context

  • Changing compatibility of localized spatial packets

    A prescribed free-encounter functional separates reciprocal spatial deformation from free motion; the same local scalar dynamics can increase or decrease it for fully localized complex preparations, with its first change beginning beyond the leading scattering variation.

  • 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.