Mish's favorite numbers

What property do these have?  They describe the next element with the minimum number of digits. One could follow a path of maximum entropy production sets, grouped [1,2]; [11,12,21],... Are these the quant ratios? Dunno, they have enough properties (golden ratio, triangle].  Still thinking on it, dunno. But likely a very good approximation.

As a channel, I ask why does it distribute inventory in units of 1 and 2.  I suppose that is the optimum inventory ratio if you know you will be changing rank, on average. If I move one quant to market under the N-1 rank, then a sudden change to a higher rank means I have to have an extra quant while adjusting inventory.

Searching wiki

And also this:

Researchers from the Helmholtz-Zentrum Berlin für Materialien und Energie (HZB), in cooperation with colleagues from Oxford and Bristol Universities, as well as the Rutherford Appleton Laboratory, UK, have for the first time observed a nanoscale symmetry hidden in solid state matter. They have measured the signatures of a symmetry showing the same attributes as the golden ratio famous from art and architecture.

Science Daily

When applying a magnetic field at right angles to an aligned spin the magnetic chain will transform into a new state called quantum critical, which can be thought of as a quantum version of a fractal pattern. Prof. Alan Tennant, the leader of the Berlin group, explains "The system reaches a quantum uncertain -- or a Schrödinger cat state. This is what we did in our experiments with cobalt niobate. We have tuned the system exactly in order to turn it quantum critical."

They 'invented' a quantum entanglement. Egad!  They tuned uncerrtainty to knifes edge between two ranks.

Great picture
Take this system in single state, then add a total twist over the whole net, in small increments, until the system has one median extra quant, almost enough for it to requant up to the next state.

If the magnetic field could pace itself, pulse just right, the cobalt would quantize off equilibrium and radiate quantize smaller events at higher rates at the liquid end, no?

In the real economy, this is a Christmas thing.  This is what retailers do to prep for the sudden expansion.  There is a sudden event, called holiday shopping, inventories go Fibonacci.