Event-driven power-law relaxation in weak turbulence: a liquid crystals mesoscopic experiment bridging quantum dots and the integration theory for the brain

We illustrate a theoretical approach to derive generalized master equations, in both quantum and classical physics, compatible with the occurrence of crucial events. We show how to derive out of it a new Fluctuation-Dissipation Theorem (FDT), called phenomenological FDT. We fail deriving from the same approach another FDT form, called dynamic FDT, which is proved by us to drive the response of liquid crystals to external perturbations. We argue that this experimental effect is incompatible with the adoption of a density approach, in the same way as the decoherence theory fails explaining the wave function collapse, if this corresponds to crucial events. We also argue that the same perspective applies to the brain, according to the tenets of the integration theory of consciousness.