## Sunday, June 16, 2013

### t, H, W, Z, part 3

Malcolm Mac Gregor proposes that

(1) ... mt = mW + mZ

Emilio Torrente-Lujan suggests (page 5) that custodial symmetry could produce the relation

(2) ... mH ~ (mW + mt)/2

Together these would imply the Dharwadker-Khachatryan sum rule (page 56)

(3) ... mH = mW + mZ/2

1. More good "numerology"

mh/me = 4(2PI)⁶ = 7² / (Delta)² (7d)= 246115.633555 ===> 125,7 Gev

The spins, extra dimensions: value higgs vacuum and higgs boson mass ( not numerology: theoretical proof )

"Quantum information and Cosmology: The connections by Angel Garcés Doz"

"Thus the mass of the Higgs boson is very approximately expressible as a function
7² / (Delta)² (7d) . This
of the square of the uncertainty in seven dimensions, namely: (Delta)²
(7d) = 7²/[4(2PI)⁶]

Pag 3
"Strong Holographic Principle. Higgs vacuum value. Higgs boson mass"

============================================

Fibonacci numbers divisors of the number of nonzero roots E8 group: or the amount of hyperspheres in eight dimensions maximally compacted: 240 = 1 x 2 x 3 x 5 x 8

(8⁶-5⁶+3⁶-2⁶+1⁶)-(8³-5³-3³-2-1³)= 246834= mh/me ======> mh = 126.13 Gev

mh= m(Higgs Vaccum = 246.221202 Gev) x P(2,r7 ) ====> mh= 126.177 Gev

P(2,r7 )= probability particle in a box, string one dimension

r7 = ratio lenght planck seven dimensions/ planck lenght( compactification kalulza-klein)

(r7)⁸ = ( 4(2PI)⁶)/[8 x ( 16(PI)³/15 )] ; 16(PI)³/15 is the factor surface of a sphere, or torus, in seven dimensions.

P(2,r7) =sin²(2PI/r7)(2/r7)

Regardas ( A. Garcés Doz )

2. (3) is almost exactly true. (1) and (2) are considerably more distant from the world best estimates of the quantities in question.