Most compressed version I have so far:
The collection of universes is isomorphic to a collection of non
deterministicaly self sorting, randomly generated numbers that sort into
sequences according to:
1) p(i) = {R(p(i - 1)) + PL(i)} is the compressed form of U(i).
where R(p(i - 1)) is the fixed rule set of a particular universe acting on
the previous U(i).
2) U(i) grows in length [number of bits] randomly to avoid Chaitin's limit.
They non deterministicaly self sort because of (2) and U(i -1) contains R
and recognizes any PL(i) suitably larger than PL(i -1).
Hal