Tuesday, May 27, 2014

When phase knows its time to requantize



So I delved into this relationship from Gary Meisner.  If the value Phi is the current quant rate, and the phase finds the minimum phase path to be a spehere, then at this point, its own circulur of phase surrounding the sphere is equal in density to the packed area of the sphere.

Look at this circle with the same triangle. A group of phase, optimally spread, attempts to penetrate the bubble. At that peak of the triangle is exactly where the spread of the colonizing phase meets an equal gradient in the area of the sphere. The root(Phi) will be an area density that matches spread quant Phi. There is no more minimum phase path into the sphere.

The general condition holds by multiplying through all sides by phi^n. For a wave traped inside the atomic orbital, surrounded by a sphere of the Higgs limit, the same process works in reverse.

So, I think the irrational number quantizes surface area in constant ratios. The surface area is spectral power. and counts linear with the integer quantum number I believe.  That means energy goes as n^(3/2), with the quant numbers. And Compton Null/Freq = Constant is a spectral power match.

So, spectrum is allocated increasingly toward the centrer of the atom, no surprise.  But check me on this, as I have surface area decreasing but spectral flux in increasing.  This is one of the cases where I forget if I am counting down or up. The thing is letting surface area go by quant number, but I think that means more flux density. So, in other words, I am likely counting up instead of down, but I do not care, its a sign change and I get to it later.

 Mainly by packing more of the Nulls toward the center of the atom. The quarks are packed in and only short wavelengths are supported, the Compton effect. Simplifies the job of allocating polynomial bandwidth. Density of packed nulls is the inverse of power spectra. EM light is low bandwidth compared to gamma. Quarks make faster adjustments over shorter lengths then does the electron.

What about signal to noise? They are power or energy ratios. I am not sure here, but if we went with volume are the signal and area as the noise, except it goes as phi^n, and volume goes as phi^(n*3/2). SNR = r/3 becomes (phi)^(n*1/2)/3.

Here is what I am doing

The phase is packed according to minimum phase, radially. It is linear along the radial axis.  But it gives me the SNR, which is constant going up the axis, so I can compute the maximum entropy packing, which I did, and at first glance it matches the proton well enough. So light quantizes for minimum phase and Higgs does the maximum entropy on the rebound.

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