Take note, if you dare

First this

The relationship between these two conditions is as follows. A topological space is Hausdorff if and only if it is both preregular (i.e. topologically distinguishable points are separated by neighbourhoods) and Kolmogorov (i.e. distinct points are topologically distinguishable). A topological space is preregular if and only if its Kolmogorov quotient is Hausdorff.

Then this

In physics, the principle of least action – or, more accurately, the principle of stationary action – is a variational principle that, when applied to the action of a mechanical system, can be used to obtain the equations of motion for that system. The principle led to the development of the Lagrangian and Hamiltonian formulations of classical mechanics.

So I am almost done. The first defines how to make a vacuum, the second limits us to maximum entropy. The vacuum is topologically distinguishable and has neighborhoods. The packed nulls become unsdistinguishable within. Going from the one to the other, is the packing process. Being indistinguishable is the process of looser packing, density of space drops inside packed Nulls, fewer Nyquist per vacuum, and that would be Pauli, I think we get it automatically.

I would not be surprised of nuclear theory gets the two modes mixed, calling waves particles at the subatomic level, and making things more complex. An anti particle, may be the scientists thinking packed Nulls should have a symmetric transformation. But anti wave would exist.


A quick review: Housdorff gets me the vacuum and both Ficonacci sampling and congested Pauli packing. Minimum action gets me Shannon and maximum entropy, Fibonacci is makes Shannon true, and gets me the hyperbolic basis functions. The hyperbolic meet the Shannon condition, and handle negative and positive forms separately.

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But Housdorff tells us that without foreknowledge, F codes are Pauli packed, because they become indistinguishable, (they cannot be the best packing as they make Null indistinguishable before the total sequence is known). That should lead to a multi-level quantization scheme composed of multiple of 2 and three.

The two thirds comes from the vacuum triplet, and Housdorf would look at the bounday between distinguishable or not, and conclude the  ratio in packing. At the boundary ot packed Nulls, the Pauli packing ratio becomes the norm.

Light goes at the golden rate but follows the Pauli path, still, that is the path where Nulls will not be packed. Nyquist is a given because of cause and effect.  Pauli packing makes indistinguishable, and allows negative of positive phase to be embedded. We use Shannon to find the quantization order anywhere. But we break up quantization levels into multiples of wave mode, under the 2/3 rule, everything quantized is a multiple of 2 and 3 at any given level. Light has the proper impedance because it comes from the atom which set the quantization levels.

Whew!! I hope this matches the gluons.