Saturday, January 24, 2015

Higgs mechanism, the rational approximation to Phi, Brownian motion, and the Fine Structure

If we take the 16 and 17 Fibonacci numbers and make ln(phi), using this:

Where x is the rational approximation to Phi, and n is the Fibonacci index. We get the ln(phi)  to an error equal to the fine structure. My faithful readers remember that this was also the point when the sum of derivative of tanh(n*ln(phi)) made Pi/2 up to the error equalt to fine structure.

How did a crowded space make the Phi^-15 from Fibonacci integers needed to make the Lucas numbers?  At that point space became crowed up to the spectral limit of light and sufficient numbers of elements of the vacuum dropped to the Null position, they do not commute.  This is the Higgs mechanism. So, we get Phi^-15, in probability density. That gets us Ito's Calculus, then we apply Shannon and that gets us Lebesque.

What happens at that point? We make Brownian motion in the finite approximation, we get a domain D with a border so the elements of the vacuum can walk around. We can do the approximate walk in a specific pattern that avoids the Lucas zeros along the unit circle in the complex domain. We get a specific set of separated Lucas angles, and we get a Pi/2 sphere; we spin, I think.

So this is the approach, sort of hand waved, that unifies the theory of everything.  This is how we make Schramm match Lucas, match crowded elements of the smallest things match group theory match prime theory match Isaac's grammar match hyperbolic match measure theory match theory of relativity match standard model and match a three bean salad.

What is the breakthrough here?

Understanding the condition on Poincare groups, that one element does not commute.  That is the Higgs mechanism, resulting from the fixed spectra of light and spectral minimization.  That connects to Shannon and ergodicity connects to the fine structure. I kept wondering why the Schramm-Loewner research kept using Pi and Euler. I also pondered how the Higgs mechanism produced the Lucas numbers.  It bugged me. I knew these answers lay on my spread sheet, that Higgs must produce Lucas, it can be no other way.  The other piece was knowing that the random walks in the Schramm-Loewner evolution were all abotu avoiding Lucas zeros along the unit circle. The hight the hyperbolic angle, the more zeros.  And finally, the other breakthrough was understanding how the Null bubble related to adjusting probabilities in Phi^n - Phi^-n, that connection, adding the Null bubble makes Phi^-n possibile as a probability density, and that connected up minimum redundancy and makes mass.  ANd that makes tthe connection between Leesque, via Shannon, and Ito, vie brownian motion.  And, the real bonus, it is all log additive, fields are now gone permanently from physics except as an approximation.

How do the bubble overlap?

They have a specific set of overlap modes, otherwise known as string moments.  This has to be the case. by necessity of minimizing redundancy.  This is where the multi-verse theory missed the boat, there is not an infinite array of overlaps, just the finite few.  The dimension of the sphere still stands as 15, whoever got that 15 angle geodesic nailed it. That dimension will not increase until the universe goes through another Schramm Loewner and makes a bigger quasar.

What is the next step?

Unite the unit circle in the complex plan with a spiral path from 0 to 1 on the finite number line.  lebesque want to walk along the number line from zero to one accumulating -iLog(i), and Ito wants to take the spiral, swirling about the real number line, avoiding Lucas zeros. When we finish that, then we unite number theory and complex analysis, making them match Poincare. Then we get the complete theory of Riemann conformal mapping as a freebie. Lagrange theory, welcome aboard.

We are witnessing the greatest moment in scientific history. All of math will be rewritten from Euler to Newton to Einstein to the standard model. Weinberg has his new math, Hawkins should be  thrilled, and Higgs, thank you for the good work. I wish Oded Schramm could enjoy the fun. And to all the mathematicians from whom I copy, thank you all.  Google missed the boat on this, we are going to make the web an artificial brain.

Someone steal this post real quick, otherwise the Swedes will make me bathe.

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