Calculation record

Spatial oscillator point contacts, weighted source marginals and true currents.

Finite scalar comparisons with fixed spatial measures. These checks do not
identify occupied particle bands, electric charges or a master interaction.

Research context

  • Spatial oscillator point contact

    A point contact on actual flat spatial oscillator waves has a position-dependent reproducing strength, whose central value is a weighted Hockey-Stick count rather than the projective simplex dimension.

  • Oscillator source marginals

    Spatial oscillator marginals have exact weighted Hockey-Stick singular strengths, while physical bilinear currents require their full coefficient contractions before projection.

  • 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.