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
on enumerable universes,
*P*^{M} and
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.

- Plausibility of Recursive Priors
- Plausibility of Cumulatively Enumerable Priors
- Plausibility of Approximable Priors
- Plausibility of Speed Prior
*S* *S*-Based Predictions- Short Algorithm Detectable?
- Relation to Previous Work on All Possible Universes

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