m

_{H}~ √2 m

_{Z}

m

_{t}~ 2 m

_{Z}

H

_{vev}~ 2 √2 m

_{Z}

m

_{W}~ √7 / 3 m

_{Z}

The last one may look a little odd, but it allows us to approximate sin

^{2}of the Weinberg angle as 2/9.

The impetus was a comment by @arivero in which he pointed out that a tHWZ mass estimate due to Hans de Vries implies

(m

_{W}

^{2}- m

_{H}

^{2}) / (m

_{Z}

^{2}- m

_{t}

^{2}) = 3/8

Now in many GUTs, at the GUT scale, we have that

m

_{W}

^{2}/ m

_{Z}

^{2}= 3/8

So it's as if (m

_{W}

^{2}- m

_{H}

^{2}) / (m

_{Z}

^{2}- m

_{t}

^{2}) is almost invariant under renormalization group flow, with m

_{H}= m

_{t}= 0 at the GUT scale.

We could even speculate that my set of four approximations above is an infrared fixed point. (The approximations are not exact, but one could think of these as valid at tree level.)

Unfortunately I don't see how any of this makes sense in terms of Hans de Vries's original physical hypothesis.

Anyway, I find that the LC&P formula also works neatly using the four approximations. And I would remark again that m

_{Z}is very close to the standard model's μ parameter.

1) [(Mw)^2+(MH)^2]/[(Mz)^2+(Mt)^2]=ln[sqr(Pi)]

ReplyDelete2) [(Mw)^2+(MH)^2]/[(Mz)^2+(Mt)^2]=(7/e)-2

3) [(Mw)^2+(MH)^2]/[(Mz)^2+(Mt)^2]= [ln(Pi)]^7-2

MW = 80.384 Gev

MH = 125.0901 Gev

Mz = 91.1876 Gev

Mt = 173.7 Gev

(3/8)x [(Mw)^2+(MH)^2]/[(Mz)^2+(Mt)^2] = (cos(13.04°))^2

13.04° = main cabibo angle , quark matrix mixing

Axiomatization of Unification Theories: the Fundamental Role of the Partition Function of Non-Trivial Zeros (Imaginary Parts) of Riemann's Zeta Function. Two Fundamental Equations that Unify Gravitation with Quantum Mechanics

ReplyDeletehttp://vixra.org/abs/1701.0042

MH/me = 4(2Pi)^6 x cos(beta)

ReplyDeleteMH = higgs boson mass

me = electron mass

Beta = 84°(supersimmetry angle )

[(mW2 - mH2) / (mZ2 - mt2)]/[(mW2 -mH2) / (mZ2 + mt2)]=-,lnln(Phi)

ReplyDeletePhi= golden number= (1+sqr(5))/2

[(mW2 - mH2) / (mZ2 - mt2)]+[(mW2 + mH2) / (mZ2 + mt2)]=sin(84°)

84°= supetsymmetry angle/ beta

Fascinating stuff. I've been meaning to blog about it when I get a chance, especially the work by Hans de Vries.

ReplyDelete(Mtau + Mmuon + Melectron)/Melectron=a

ReplyDelete2*(2/e)^2=b

2*ln(Mplanck/Melectron)=c

2*Euler-Mascheroni constant=d

(alpha)^-1 = 137.035999173

(alpha)^-1 = 137 + (ln137/137) + (c^2*b)^-1 - (a^2*d)^-1