Regularizations of Time Crystal Dynamics

Understand

We demonstrate that non-convex Lagrangians, as contemplated in the theory of time crystals, can arise in the effective description of conventional, physically realizable systems.

• Such embeddings resolve dynamical singularities which arise in the reduced description.
• Microstructure featuring intervals of fixed velocity interrupted by quick resets - ``Sisyphus dynamics'' - is a generic consequence.
• In quantum mechanics this microstructure can be blurred, leaving entirely regular behavior.