Friday, August 7, 2020

Fun with numbers

108 is my favorite, 2^2 * 3^3, with unity, it is all the possibilities to arrange the three simple primes.
What is the next smallest set of relative primes?
5*3^3 = 135

This is an incomplete, not all ways of mixing subsets of five are included.  

I started to wonder about exponents beyond 108, they add aliasing,they under sample in one direction too much. But it is an interesting number because 3/2^135 is within a whisker of tthe standard good old Avogadro we know and love, 6.0221 1023. I am back on my kick, that we can see the ghost of a 4D system, So the next minimal 4 tuple set of primes should be close.

How do they compute Avogadro?

They get this number by computing the maximum number of spheres they can fit in a sphere. They make a perfect cloud of electrons then cont them up.  This method has no proton.   But for any perfect cloud  there reaches a point where one has no obvious place to pack another sphere into the cloud, for some set of energy levels.

So my claim is looking good. That excess N carried on 135 is way under sampled, and this drops back to our quark model in 3D. But we keep the excess kinetic energy, and a magnetic moment centered in the open toroid.  This 135 is the set in the fourth field of a Markov 4-tuple, that was never really breached.  Paerticle physics operates on the edge of dimensional bounds, limits of combinatorials.

So this thing is really the gluon energy level, the excess congestion held by the gluon to balance the result dual magnetic poles which divide up the magnetic fiells inside the salad bowl. Two process, near field can alternate sign on two adjacent deviations, equivalent to keeping the layers of the shell balance. It also manages deviation in the direction perpendicular by aligning the two external layers. We conceptualize mass, but that is really the inertia of having this high speed, Lie algebra lying flat and centered on that magnetic pole.

Now this thing has not stopped colliding. Each time it collides, the gluon switches those fields, but is there a solid closed surface with a hard shell, of even closed. 

 No, no particles it just bumps into that four D for a couple of light clicks and that is enough to maintain the two magnetic movements. But if the phycisist collides two protons, you it the symmetrical momentum and for many light ticks, the local vacuum will enclose deviations as it has slower sample rate., that makes mass while the thing blows up. Particles may be one of those fake engineering units. A demand from the Lie paper to make a mark.


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