I actually do enjoy the general "flavor" of your approach and believe that there likely is a way to convert something like the standard model (with likely some alterations) into mathematical operations upon natural numbers, and it may even be that those mathematical operations could themselves be equated with the same set of numbers.
That would appear to be something pretty close to a "Holy Grail" in both mathematics and physics and if you have anything resembling it, then congratulations, but I must say that I don't personally see it and it appears much of the operations you're performing are arbitrary and in that case it would not lead to a model or system with predictive ability that could be extrapolated upon.
I admit I didn't read, in detail, much of the material you posted, as I wasn't able to find why the operations appearred natural, but I don't want to discourage you, if you feel it makes sense and appears to at least have the possibility of being able to be extended upon into something that could allow for prediction of a range of phenomenon. There doesn't appear to be a theory around that describes low level physical operations in terms of operations made upon small, non-irrational quantities, and yes, I'd have to consider someone a genius if they were able to derive this. If you truly feel your operations are consistent and natural, then go for it, but from my perspective, you're putting too much information in, and not getting enough out of your computations and it doesn't appear something that is naturally extensible and predictive.


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