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26 January 2025
 
  » arxiv » 1708.3348

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Realization of "Time Crystal" Lagrangians and Emergent Sisyphus Dynamics
Alfred D. Shapere ; Frank Wilczek ;
Date 10 Aug 2017
AbstractWe demonstrate how non-convex "time crystal" Lagrangians arise in the effective description of conventional, realizable physical systems. Such embeddings allow for the resolution of dynamical singularities that arise in the reduced description. Sisyphus dynamics, featuring intervals of forward motion interrupted by quick resets, is a generic consequence. Near the would-be singularity of the time crystal, we find striking microstructure.
Source arXiv, 1708.3348
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