There is your Higgs

It is nothing more than a theory of primes. Higgs says you can get the maximum entropy over about 40 integers. This is the theory of quantum physics, that graph. An entire six months of my life dedicated to the universal theory of physics and all I had to do was look at that graph. How dumb can I be!

Any number system which support  a multiply will have a range over which multiply is most efficient. Multiply efficiency depends on the sample rate relative to digit length.  My quest was never about physics, it was all about aligning a number system up so as to reduce the number of variables and equations that physicists and economists use.

Why did I pick Fibinacci?
50% dumb luck and a sense of ratios. And 50% because I knew they we Shannon compatible and approximately added the previous set and maximally packed. And this, I just discovered: 

The most common such problem [for Fibonacci]  is that of counting the number of compositions of 1s and 2s that sum to a given total n:

I knew combining packs of Nulls was important. Also I klnew the exchanges were mostly about combining the previous with the next, whihh made conservation of addition important.

 This series is convergent for and its sum has a simple closed-form:

  
The formula above is the SNR for a three sphere packing. The x series at the bottom is noise, proportional to area of the current, minus volume of the of the layer below behind, I think. Something I have not worked.

But when I started out, I had this ides that packing could be either 2 or three quants of Nulls, that they would be a bit underpacked.  So I was going with 2+3 is best approximated by 3 times Fibonacci, for the next quant up.

Anyway, group theory, maximum entropy counting and finite systems have won the day.  I doubt physics can really go back to old style integration and stretchable space.