The relativistic effects create this standing wave, i.e. the particle distorts the spacetime as it's moving and the relativistic "glitch" mixed with the modulat

The relativistic effects create this standing wave, i.e. the particle distorts the spacetime as it's moving and the relativistic "glitch" mixed with the modulated ds2 creates the standing wave. IIRC, the idea was to apply the Lorentz moving frame transformation to the ds2 x exp() interval to derive some bits of QM. To derive the non time-dependent SE, some bits of GR were needed and to derive the time-dependent SE, more GR was needed.