Sunday, March 06, 2005

Mass of Top Quark calculated

I announce here I have successfully derived the correct mass of top quark, from GUITAR theory.

Before I provide the details, please reference my previous result, where I obtained the correct mass of proton, and the precise mass of neutron, up to 10 decimal places accuracy, using the best known neutron decay lifetime:

http://quantoken.blogspot.com/2005/02/proton-and-neutron-mass-from-guitar.html

As you see in my previous reasoning, the intrinsic mass should equal to the entropy, i.e., the logarithm of number of intrinsic states, divided by ln(2). For proton, it's ln(2*(1*1! + 3*5! + 7!))/ln(2).

For top quark, I figured out due to confinement, it's number of intrinsic states are

Omega = exp(4*PI/alpha), with alpha being the well known fine structure constant.

So the mass of top quark is:

Mt = ln(Omega)/ln(2)

Mt = (4*PI/alpha)/ln(2)

That value agrees with experimental value completely.

Keep in mind I am using the natural unit set in GUITAR, in which the fundamental mass unit M0 equals to electron mass divided by alpha, i.e., about 137 times electron mass.

Mt = (4*PI/alpha)/ln(2) * M0
Mt = (4*PI*137.03599911/ln(2)) * M0
Mt = 2484.386 * M0
Mt = 2484.386 * 137.03599911 * Me
Mt = 340450 * Me

We know Me (electron mass) is 0.511 Mev. So that gives the top quark mass to be:
Mt = 340450 * 0.511 MeV = 173970 MeV.

That completely agrees with the experimentally measured value of 174 GeV, within experimental error! See:
http://www.superstringtheory.com/experm/exper2a.html

I further predicts that there will be a first excitement state right at
Mt' = (6*PI)/alpha

which figures to about 180.88 GeV.

I shall provide more detail later, plus calculation of other quarks. But any one with a calculate can verify the above result in one minute.

Quantoken