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 

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