Dynamic Doppler Effects on Dirac Spinor Fields
Abstract
We derive the dynamic Doppler effects of noninertial observer motion on Dirac spinor fields in 4D spacetime, characterizing how proper acceleration, proper jolt (also known as jerk), observer path curvature, torsion, and hyper-torsion modify the inertial quantum description of free particles. We delineate the impacts of nonlinear observer motion on 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 jolt, the wave-field amplitude scales with quadratic rapidity. 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. We analyze the effects of proper jolt and nonlinear rapidity on quantized Dirac fields in the context of acceleration-induced β+-decay and derive the instantaneous decay rate, an equivalent of decay rate for non-stationary motions. This work provides new insight for noninertial-proton β+-decay and a general framework for testable variable-rapidity Unruh predictions.
Related
- A spinor-adapted geometric approach to nonlinear Dirac systems on the Schwarzschild black hole background
- Dispersive estimates for Dirac equations in Aharonov-Bohm magnetic fields: massive case
- A Physically-Motivated Stochastic Model of Tropical Cyclone Dynamic Wind Fields
- Structured Bayesian Modeling of Dynamic Receptive1 Fields in Salamander Retinal Ganglion Cells
- An Introduction to the p-Differential Forms in Spinor Variables on the Minkowskian Manifold
BibTeX
@misc{barclay2026dynamic,
title = {{Dynamic Doppler Effects on Dirac Spinor Fields}},
author = {Bryce M. Barclay and Alex Mahalov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.14952},
eprint = {2606.14952},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.14952},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dynamic Doppler Effects on Dirac Spinor Fields
AU - Bryce M. Barclay
AU - Alex Mahalov
PY - 2026
DA - 2026/09/26
PB - arXiv
DO - 10.48550/arxiv.2606.14952
UR - https://arxiv.org/abs/2606.14952
AB - We derive the dynamic Doppler effects of noninertial observer motion on Dirac spinor fields in 4D spacetime, characterizing how proper acceleration, proper jolt (also known as jerk), observer path curvature, torsion, and hyper-torsion modify the inertial quantum description of free particles. We delineate the impacts of nonlinear observer motion on 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 jolt, the wave-field amplitude scales with quadratic rapidity. 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. We analyze the effects of proper jolt and nonlinear rapidity on quantized Dirac fields in the context of acceleration-induced β^+-decay and derive the instantaneous decay rate, an equivalent of decay rate for non-stationary motions. This work provides new insight for noninertial-proton β^+-decay and a general framework for testable variable-rapidity Unruh predictions.
ER -