Calculation record

Exact null displacement waves and constant-gradient spatial field action.

A declared relativistic unit-vector field supplies a constructive benchmark
for two normalizable transverse waves. Its action is not a derived IDWT photon
sector. Coefficients of the field are not additional spatial coordinates.

Research context

  • Null spatial pulses

    A specified stationary spatial field supports two normalizable displacement modes, exact finite pulses at the underlying wave speed, and circular polarization with a massless-vector angular-momentum ratio.

  • Spatial displacement action

    Full spatial deformation gives the exact constant-gradient action and a common leading interaction between two polarized displacement waves, with the complementary field retained explicitly.

  • 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.