Hi Lawrence,
I have read your essay and many of your posts and appreciate what you are trying to do. But please take a look at my essay if you haven't already and give it some effort since you are a good programmer, it should not take much of your time. You will see that physics can be done based on the most elementary mathematics known(addition, comparison ...etc). So fundamentally no need for exotic math or to worry about infinity, compute-able ... etc. The system can be put on more formal level(fundamentally it is a geometric probability problem), but through simulation the origin of the design of reality is so clear and makes a lot of sense. Then MUH is established(confirmed) with minimum effort, we start by postulating it and end by confirming it. Our reality's existence is the proof of the Platonic realm of mathematics.
Thanks and good luck
P.S. But please read some of the first post in my thread about running the programs if you like to delve in them more.