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Understanding physics in domains of critical (quantum unstable) fieldsrequires investigating the classical and quantum particle dynamics at thecritical acceleration, $\dot u \to 1$ [natural units]. This regime of physicsremains today experimentally practically untested. Particle and light collisionexperiments reaching critical acceleration are becoming feasible, in particularapplying available high intensity laser technology. Ultra-relativistic heavyion collisions breach the critical domain but are complicated by the presenceof much other physics. The infamous problem of radiation reaction and thechallenging environment of quantum vacuum instability arising in the high fielddomain signal the need for a thorough redress of the present theoreticalframework.

Strong Field Physics: Probing Critical Acceleration and Inertia with Laser Pulses and Quark-Gluon Plasma