Finite-Travel Effects on Particle Creation

Ascertain whether constraining a rectilinearly accelerating electron to a finite total travel distance alters particle creation (including the photon spectrum and particle count) compared to trajectories that travel an infinite distance.

Background

The paper discusses asymptotically resting worldlines and notes that only one previously known finite-distance trajectory (“Arctx”) exists in the moving mirror literature, but it cannot be simultaneously solved for Bogolyubov coefficients and parametrized by maximum speed. This limitation makes it difficult to paper how speed relates to the particle spectrum.

Motivated by experimental feasibility within finite laboratory spaces and theoretical tractability, the authors introduce a new finite-distance, asymptotically static worldline with solved spectrum to investigate whether confinement affects particle creation.