We calculate the average number of critical points of a Gaussian field on a high-dimensional space as a function of their energy and their index. Our results give a complete picture of the organization of critical points and are of relevance to glassy and disordered systems and landscape scenarios coming from the anthropic approach to string theory.

QCD sheds considerable light on several of the most basic features of the natural world, including the origin of mass, the feebleness of gravity, the extent to which the properties of matter can be determined conceptually, the possible utility of the anthropic principle, and the metatheoretic notions of effectiveness and computability. I discuss these applications here.

One hundred years ago, a single concept changed our world view forever [1]. Contemporary technology is based on implementation of quantum phenomena as a result of this seminal idea. Now only social sciences persist in classical paradigm what might be considered as an obstacle to unification of science in the quantum domain. Quantum theory is up to now the only scientific theory that requires of...

In the context of open inflation, we calculate the probability distribution for the density parameter Ω. A large class of two field models of open inflation do not lead to infinite open universes, but to an ensemble of inflating islands of finite size, or “quasi-open” universes, where the density parameter takes a range of values. Assuming we are typical observers, the models make definite pred...