Consequences for Physics

As obvious from equations (1) and (15), some observer's future depends on the prior from which his/her universe is sampled. More or less general notions of TM-based describability put forward above lead to more or less dominant priors such as P^G on formally describable universes, P^E and $\mu^E$ on enumerable universes, P^M and $\mu^M$ and recursive priors on monotonically computable universes, S on S-describable universes. We will now comment on the plausibility of each, and discuss some consequences. Prior S, the arguably most plausible and natural one, provokes specific predictions concerning our future. For a start, however, we will briefly review Solomonoff's traditional theory of inductive inference based on recursive priors.

Related links: In the beginning was the code! - Zuse's thesis - Life, the universe, and everything - Generalized Algorithmic Information - Speed Prior - The New AI