Abstract:We derive the dynamic Doppler effects of noninertial observer motion on Dirac spinor fields, characterizing how proper acceleration, proper jerk, observer path curvature, torsion, and hyper-torsion modify the inertial quantum description of free particles. We quantify the nonlinear behavior of the amplitude and phase of the Dirac spinor wave field and isolate the spin-induced signatures that have no counterpart in the scalar Klein-Gordon field. For worldlines with constant proper jerk the amplitude scales super-exponentially as $\exp(j_0\tau^2/4)$. The complex Frenet-Serret curvature invariants generate both an exponential amplitude factor and a spin-induced phase factor. Spinor structure therefore produces an observable dynamic Doppler signature distinct from any scalar prediction.
From: Bryce Barclay [view email]
[v1]
Fri, 12 Jun 2026 20:52:49 UTC (47 KB)
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