2 papers
math-ph2026
Dynamic Doppler Effects on Dirac Spinor Fields
Bryce M. Barclay, Alex Mahalov
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…
math-ph2026
The Dynamic Doppler Spectrum Induced by Nonlinear Sensor Motion: Relativistic Kinematics and 4D Frenet-Serret Spacetime Geometry
Bryce M. Barclay, Alex Mahalov
Fundamental to the analysis of nonlinear relativistic motion is the precise characterization of the induced dynamic Doppler effects. In this work, we analyze the electromagnetic si…