Monday, May 26, 2014

Maxwell in polynomial quants, part 2

I think out loud in these posts, generally assuming I am speakign to methematicians much smarter than I.  So I am refining the concept of polynomial wave motion in parts.

First refinement.  Waves do not pack Null, so we whoudl be counting out Maxwell polynomial wave in fractional units. Our wave equation should end up looking like:

b = 1/r where r is the most irrational number to a fixed precision. The precision of b is 107, the Higgs precision. The wave equation should end up looking like:

Basic form: 1/2 - b^j + a1*b^k + a2*b^l+ ... + b^107

Where the total number of terms will be on the oprder of 6-9, and the exponents are composed of multiples of the basic quant modes in the atom, say:
[2+2+2]*[13] and various multiples up to 107.

The basic form simply counts in units of b^107, where b is the fractional precision, or one over the most irrational number.  Whenever the fractional power series carries the 'one', we have completed one complete wave.  Meanwhile the wave should count along the line of travel in units of fractional Higgs.

The coefficients, a1 .. an; they are really vectors radial to the line of travel, but I think we can collapse them to scalars to get the bitstream version of the wave. But these radial vectors should all be of the form [1/3]*k, defining 'mixing' angles along the concentric circle about the line of travel.  (to be precise, they should be radials perpendicular to the spherical surface perpendicular to the line of travel). To be even more precise, the B and E polynomials should be counting out counter posing spirals against the spherical Higgs boundary along the line of travel.  The spirals fixed by the two wave modes, at the source, the atom. In the process of counting those spirals, they reset, or normalize the vacuum of space to the natural 2,3 curvature. Even more precise, I believe the Higgs fraction itself is a composite of the two vacuum spirals. So all waves and matter are composed of power functions of the two vacuum spirals and the sphere is perfectly preserved in all structure.

The angular separation in the fundamental 2,3 spirals on a spherical surface is the Weinberg mixing angle, naturally, pi/6 plus or minus the imprecision of the most irrational number, which changes with energy. So you see, the world consist of a Higgs plus a Weinberg, my two favorites.

Anyway, we should end up weith a simple digit based rate counter, counting fractional quant numbers.

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