Relaxing the cosmological constant in the extreme ultra-infrared
  We speculate on the dynamical critical behavior of gravity in the extreme
ultra-infrared (EuIR) sector and a mechanism to relax the cosmological
constant. We show that in the EuIR the cosmological constant term could be made
irrelevant for values of the dynamical critical exponent z_EuIR greater than
one. We discuss a possible realization of this idea that connects the
relaxation of the cosmological constant to the ratio between the EuIR and IR
scales, where the latter serves as the 'UV' cutoff of our (ultra long distance)
effective theory, with z_IR ~ 1. For distances smaller than the IR regime
Lorentz invariance emerges. We entertain the possibility that the effective
description of the universe may not be Lorentz invariant at much larger scales.
We discuss why local physics cannot detect the 'natural' value for the density
of dark energy below the IR scale, and briefly comment on possible connections
with holography.
