Calculation record

Actual normal-mode integrals and a full finite-band stability criterion.

Research context

  • A stationary collective source for the spatial mass operator

    A completed-square collective action makes the occupied geometric source stationary, preserves the finite carrier's frequencies and canonical energy, and has a controlled stable linear response across all maintained sector controls; its physical spatial completion and coupling vertices remain distinct questions.

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