In this talk, I will argue that the concepts of quantum criticality and universality can emerge at very high energy, corresponding to infinite effective temperatures. I will focus on isolated many-body quantum systems that fail to self-thermalize in isolation, either because of strong randomness, or proximity to integrable points with an extensive number of conserved quantities. I will discuss the recently discovered anomalous hydrodynamics of certain quantum spin chains at high temperature; and argue that a broad class of systems can exhibit anomalous transport with universal exponents, uncovering a rich dynamical phase diagram even at infinite temperature.