This thread combines the ideas from the Escaping from the Universe thread and the Life and the "Law" of Entropy thread. Most astronomers believe that out universe is eternally expanding. It follows that there will be an endlessly growing number of child universes as QM vacuum-fluctuations occur in an eternally growing amount of space-time. The eternal growth in the numbers of such child universes do not violate the second law of thermodynamics because the QM vacuum fluctuations from which they proceed are random and very far between.
Now consider an exponential growth of child universes that is not random. Suppose a Type III civilisation decides to propagate itself exponentially by means of creating child universes. It seeds each child universe with a probe that has all the facilities to create more child universes and seed them with probes that have all the facilities to create more child universes and seed them with probes that have all the facilities to create more child universes and so on ad nauseam. For each parent, if more than one child project is successful then the number of probes will grow exponentially. Is such a planned eternal propagation of extremely intelligent probes allowed by the second law of thermodynamics? An advanced civilisation may be able to do many amazing things that we would never dream possible today but no civilisation will ever be able to change the laws of statistics. Do the laws of statistics permit such an exponential propagation of intelligent entities from a common origin?