balanced_dirac_reciprocal_flow.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

Complete complex reciprocal ray/normal fields under the projected scalar square.

This zero-spatial-kinetic invariant mode control retains the probe's full
rank, both Dirac signs, scalar phases, norms and all occupied Gram entries.
It is not a localized spatial encounter or a selected physical particle.

Research context

Geometric response of balanced normal populations
Paired normal Dirac populations leave a stationary scalar source unchanged while supplying a common geometric response across target grades, including a finite kinetic gap and the complete probe self-interaction.

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