A novel idea, but it's just that. There is no evidence supporting the idea of different physical constants in the universe. Of course, we haven't had the time and tools to look everywhere.
That's true I was also thinking about it this way. Granted I hadn't read the whole paper and it is very philosophical, but I don't know how simulations with varying constants over time could help explain the early state of e.g. the big bang, which remains a mysterium for a unifying theory.