Time glass: A fractional calculus approach

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