Derives Frenet-Serret equations for relativistic motion with variable proper acceleration and torsion, relating parameters to four-jerk and four-snap via Gram-Schmidt tetrad, with analytic examples.
Stationary and nonstationary scalar vacuum field noises
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abstract
If stationary, the spectrum of vacuum field noise (VFN) is an important ingredient to get information about the curvature invariants of classical worldlines (relativistic classical trajectories). For scalar quantum field vacua there are six stationary cases as shown by Letaw some time ago, these are reviewed here. However, the non-stationary vacuum noises are not out of reach and can be processed by a few mathematical methods which I briefly comment on. Since the information about the kinematical curvature invariants of the worldlines is of radiometric origin, hints are given on a more useful application to radiation and beam radiometric standards at relativistic energies
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Frenet-Serret equations with variable proper acceleration in Minkowski spacetime
Derives Frenet-Serret equations for relativistic motion with variable proper acceleration and torsion, relating parameters to four-jerk and four-snap via Gram-Schmidt tetrad, with analytic examples.