Why is a balanced Huffman tree an optimally packed sphere ?

Principle of maximum entropy computations, Huffman trees are both balanced and optimally quantized over their complete sequence. The distance from root to branch is the same everywhere, to the limits of precision. The queues at each node stable, and optimum (meet spin exclusion actually).

The principle of homomorphic mappings between graph representations at maximum entropy hols. The Huffman graph is configured to compute pi, and we see that this balanced tree operates as close to the maximum second derivative of tanh, the ratio. It meets the hyperbolic differential equation. Go look there, I found Phi, very close to Pi, and down the end  or that something close to the fundamental electron uncertainty ratio, representing the longest Huffman path supported before inventory goes to zero along the path.

The theory of everything.  I can mix and match semantics form different fields and fit them into sentences formed on congestion theory. All science.
Spin exclusion, for example. At WalMart there are zero or one clerks queued per checkout, but one or two customers. The clerks got spin excluded, spin exclusion is a result of optimally congested queues must have flow (Hawkins) and be asymmetric (sphere packers). So at optimum congest we have only one minimal configuration that mantains flow. Occasionally  customer will be first in a line with no clerk. Computational equivalence at maximum entropy, go with that, it leads to TOE.

Here is an example:

(a+b+c)  // three vars two adders!

The bots are square rectangular fellows and will say, no, one ar on op; always in pairs. But the corner condition is Huffman encoded, it does not waste a unique, short path through the parse tree. The variables compress the adders, sphere packing. It is in language, grammar is a a queuing problem. If you are quantized, stable, you have asymmetric net flow and turbulence is contained to a constant ratio everywhere.

Sandbox generalizes.
Sandbox traders assume,true, that the uncertainty is bound and set by the activity f current trader bots, in the pits. The spreadsheet function is not so bold as set uncertainty, in general, the market sets that level at the speed of computation in the serializing pit boss.  The currency banker is the gold standard, and one can normalize its measured uncertainy to 1.5 sigma, I think, leaving the surplus for re-quatization insurance. But it can run larger currency risk, thus multiplying market uncertainty down the chain.