Wednesday, July 13, 2011

The numerology of mr nothing

Of course, physics can't just be elegant mathematical constructions without quantitative output. And so today we shall pause to consider the observations of a commenter at Lubos's blog, called "mr nothing". Presently I will make some remarks about how much sense can be extracted from them (or else I will tire of the exercise and delete this post). But for now, let's just hear from mr nothing himself.

Comment #1

The Mass Higss bosón: the mass is 119,61 Gev
There are five Higgs Bosons: 2 charged ( +1, -1 ) and 3 not charged
Fermi constant/ sqr(sqr(2)) = 246 Gev [246 Gev x cos ( 2pi/5)]/(1+cos(2pi/5)]= mH= 119,61 Gev
( 246 Gev)^2 = ( Sum mass all leptons )^2 + (Sum mass all quarks)^2 + (mW)^2 + (mZ)^2 + (mH )^2


Comment #2

5 x ( 1 + sin^2(W) +sin(W) ) = cos ( 2pi/10 ) / [ cos( 2pi/5 ) ]^2 ; angel w = 28,15648º ; mW/mZ = cos(W)
6 leptons + 6 quarks + 8 gluons + 1 fotón + 3 B ( w+, w- , z ) = 24 = 4! ===> SU(5)
Icosahedral symmetry : very important

If the edge length of a regular icosahedron is a, the radius of a circumscribed sphere (one that touches the icosahedron at all vertices) is : sin(2pi/5); thus: 1-sin^2 (2pi/5) = cos (2pi/5)


Comment #3

and the radius of an inscribed sphere (tangent to each of the icosahedron's faces) is
(3 + sqr(5) ) x [ sqr(3)/12] = cos(w)/[ (1 + sin(w) )^2 -1]
The surface area A
of a regular icosahedron of edge length a are: 5 x sqr(3) ; exp( A ) / (sum mass all leptons/ electron mass ) = [ ( sin(w) + cos(w) ) x sin(w) ]^-1
diedral angle = 138,189685º = angle w + cabibo angle + angle GUT + angle ( 360/6 )
diedral angle / sqr[ In ( mass vacuum higgs/ ( 2 x me ) ) +1] = angle GUT
Mass Vacuum Higgs / 2 x electron mass = 481841,46525 / 2

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