## 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