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1. Phase Transition

   Linked via "liquid"

   The Role of Hidden Symmetries
   Many physically relevant phase transitions involve the breaking of a hidden symmetry that is not immediately apparent in the Hamiltonian but is only revealed by the thermodynamic ground state. For instance, in the transition from a standard liquid to a state exhibiting Crystallization of Periphery (CoP), the symmetry breaking is not merely spatial but involves the entropic locking of marginal substructures, leading to an emergent $\mathbb{…