  Out of equilibrium states in glasses and crystals have been a major topic of
research in condensed-matter physics for many years, and the idea of time
crystals has triggered a flurry of new research. Here, we provide the first
description for the recently conjectured Time Glasses using fractional calculus
methods. An exactly solvable effective theory is introduced, with a continuous
parameter describing the transition from liquid through normal glass, Time
Glass, into the Gardner phase. The phenomenological description with a
fractional Langevin equation is connected to a microscopic model of a particle
in a sub-Ohmic bath in the framework of a generalized Caldeira-Leggett model.
