A New Kind of Science: The NKS Forum > Applied NKS > NKS Chapter 9, the Koide formula, and f(div) theory
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David Brown

Registered: May 2009
Posts: 172

NKS Chapter 9, the Koide formula, and f(div) theory

According to “Underlying space there may be a simple discrete structure” in Wolfram’s “quick_takes”:
“Throughout almost the whole history of science, space has been viewed as something fundamental — and typically continuous. “A New Kind of Science” suggests that space as we perceive it is in fact not fundamental, but is instead merely the large-scale limit of an underlying discrete network of connections. Models constructed on this basis then lead to new ideas about such issues as the origins of gravity and general relativity, the nature of the elementary particles and the nature of quantum mechanics.”
http://wolframscience.com/reference/quick_takes.html

Are elementary particles subject to forces from alternate universes? Is there a Fredkin-Wolfram information process that underlies quantum field theory and explains both dark matter and dark energy?

According to the f(div) theory of modified general relativity theory, the value (small kappa) in Einstein’s general theory of relativity needs to be replaced by (small kappa) times (1 + Fredkin-factor), where Fredkin-factor is approximately (10**(-5)) — but what is the precise value of Fredkin-factor?
If we look at three quarks Q(1), Q(2), and Q(3), and we look at three leptons L(1), L(2), and L(3), then we might expect that Fredkin-factor somehow emerges from some mass-energy relationship among the 3 quarks and the 3 leptons.
Consider the Koide formula discovered by the Japanese physicist Yoshio Koide in 1981:
http://en.wikipedia.org/wiki/Koide_formula
In the notation of the Wikipedia article,
Q = 2/3 – (7.3 * (10**-6)), where Q is an expression derived from the masses of the three charged leptons. Write Q = 2/3 * (1 – ((3 * 7.3 )/2) * 10**-6). Suppose that we take (1 + Fredkin-factor) = sqrt(1/(1 – ((3 * 7.3)/2) * 10**-6)). Then Fredkin-factor might somehow represent the Fredkin alternate-universes forces that cause Q to deviate from 2/3. This numerology is far-fetched, but some similar relation might yield the true value of Fredkin-factor. Is there some lepton-quark angle that is related to some lepton-quark mass-ratio in unified field theory? More specifically, can we find a quark vector QV and a lepton vector LV, both having norm 1 and with sqrt(1 -| innerproduct(QV,LV)|**2) = (1+Fredkin-factor)**-1 ?
Is the f(div) theory highly falsifiable? On page 89 of Einstein’s “The Meaning of Relativity” in the equation (90b) valid for masses whose velocities are small relative to the speed of light, the constant <small kappa> is replaced, in f(div) theory, by <small kappa> multiplied by (1 + Fredkin-factor). However, from the viewpoint of empirical tests, what might be more significant is that ∫( <small sigma>/r) dV is replaced by ∫((<small sigma> + ((∑{<small-sigma(n), n= 1, … ,N})/N) (Cosmo-factor))/r)dV, where Cosmo-factor = (average cosmological density of dark matter) divided by (average cosmological density of standard mass-energy), and where the small-sigma(n) , n = 1, …, N, represent a valid historical sample of the energy-density near <small sigma>. Einstein uses (p. 88) <small sigma> to represent “the density at rest, that is, the density of ponderable matter, in the ordinary sense, measured with the aid of a unit measuring rod, and referred to a Galilean system of co-ordinates moving with the matter.”
Does a true understanding of Fredkin-factor and the f(div) theory depend upon a Wolframian model of M-theory with alternate universes?
http://en.wikipedia.org/wiki/M-theory
http://en.wikipedia.org/wiki/Multiverse
*** More references on the Koide formula ***
"Mass matrix transforms in qubit field theory" http://math.rejecta.org/files/artic...1-Sheppeard.pdf
"Koide mass formula for neutrinos" http://brannenworks.com/MASSES.pdf
"The lepton masses" http://brannenworks.com/MASSES2.pdf
"Koide formula for neutrino masses" http://brannenworks.com/jpp06.pdf

Last edited by David Brown on 06-05-2010 at 09:40 PM

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05-20-2010 03:59 PM
mdmd

Registered: Not Yet
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Thanks for the explanation and clarification

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07-01-2010 01:17 PM

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