Strong field physics: Probing critical acceleration and inertia with laser pulses and Quark-Gluon plasma

Understanding physics in domains of critical (quantum unstable) fields requires investigating the classical and quantum particle dynamics at the critical acceleration, u̇ → 1 [natural units]. This regime of physics remains today experimentally practically untested. Particle and laser pulse collision experiments reaching critical acceleration are becoming feasible. Ultra-relativistic heavy ion collisions breach the critical domain but are complicated by the presence of much other physics. The infamous problem of radiation reaction and the challenging environment of quantum vacuum instability arising in the high field domain signal the need for a thorough redress of the present theoretical framework.