For far-reaching theories like these, I suggest looking for the “If we assume that” parts. They’ll often be a throwaway line that ends up being the pin that holds it together. This seems to have several.
Glancing at it, I notice Set theory is one of his pins.
So, before going too deeply into his implications, look for flaws in Set theory. Even if you disagree with the flaws, knowing them will give you more specific ammo to attack his further arguements with that depend on it remaining intact and will help see if this boat floats or sinks.