Empirical Evidence for Multiverse

[JuliaL]

By their very nature? Really!

Stop me if you've heard this one before.
(If you have, please point me to the discussion? My search for "infinite random universe" yields mostly Hugh Ross, yecch.)

I invite comments on the following questions.

• Is the contention that the whole general mishmash is infinite and random, (including the universe, the multiverse and everything else) falsifiable?
  
• If not, then is it necessary that that contention forever be included as a possible Truth in any, including theistic, model of reality?
  

This speculation came while I was reading about mathematicians' search for order in pi, and their failure to find it.
If localized sections of a random series will show apparent order, e.g. 0102030405, and larger sequences of random digits will show larger runs of such apparent order, wouldn't an infinite, though random, sequence, show large, up to infinite, sequences of apparent, though random, order?
My extrapolation considers a multi-dimensional volume whose sole defining parameters are:

1. it is of actual infinite extent
   
2. contains qualities which can exhibit what we see as ordered reality
   
3. the values of those qualities are randomly distributed
   

The anthropic principle demands that we live in one such apparently ordered sub-volume but there is no way, even in principle, to empirically investigate the extent outside this volume.  Samples taken from the probably much greater volume outside are random and yield no useful data. Or the pseudo-ordered volume may be of infinite extent, though, at the moment, our universe does not appear to be so.

Theists think too small.