Is this just an ad to sell the amazon book linked in the description, or has he made any of his software actually public so anyone can do anything useful with it?

The Mathematica notebook with a prototype implementation described in the talk is linked to by the publisher:

https://www.crcpress.com/downloads/K23295/Unum%20Mathematica...

John spoke today at UC Santa Cruz and it was a very impressive talk.

In the interview he mentions releasing an MIT-licensed mathematica simulation.