The self-organized critical multiverse

Recently a dynamical selection mechanism for vacua based on search optimization was proposed in the context of false-vacuum eternal inflation landscape. The algorithm, defined by local vacuum transitions, is optimal regions landscape where dynamics are tuned at criticality, with de Sitter having an average lifetime order their Page time. purpose this paper to shed light nature phase transition lifetime. We focus finite region landscape, which exchanges volume rest and as such acts open system. Through change variables master equation governing comoving mapped stochastic coupled overdamped oscillators—the well-known Ornstein-Uhlenbeck process. environment, assumed result non-vanishing driving term all sites uncorrelated, white noise fluctuations (though not necessarily Gaussian). first show that static susceptibility oscillators diverges approaches Thus, most susceptible influx from environing then displacement exhibit 1/f power spectrum over broad range frequencies, precisely critical distribution. A hallmark non-equilibrium systems criticality. In analogy sand avalanches abelian sandpile or neuronal brain, criticality can be thought undergoing scale invariant fluctuation avalanches.