Natural Science Forum / Physics / Particle Physics / May 2005

The fine structure constant can be calculated using the following
formula,

alpaha = kC.e^2 / hbar.c

where,

alpha = fine structure constant
kC = Coulomb force constant
e = charge of electron
hbar = Planck's constant / 2.pi
c = speed of light in vacuum

Now, let

Qe = charge of electron
Qu = charge of up quark
Qd = charge of down quark

and

aQe = kC.Qe^2 / hbar.c = 7.2973525704124871116767728865998e-3
aQu = kC.Qu^2 / hbar.c = 3.2432678293151033008959030646452e-3
aQd = kC.Qd^2 / hbar.c = 810.81695125590978507396711051448e-6

Now let us compare these values,

aQe / aQu = 2.2499999859566037366216268506574
aQu / aQd = 4.0000000299592455769134142403694
aQe / aQd = 9.0000000112347170738121320549998

Hmm, Interesting. Lets do some more,

aQe/aQu = (aQe/aQd) / (aQu/aQd) = 2.2499999859566037366216268506574
(aQu/aQd) / (aQe/aQu) = 1.7777778021890149872407306300812
(aQe/aQu) / ((aQu/aQd) / (aQe/aQu)) = 1.2656249747218868965116144321651

I have no idea what this means, but 9 / 4 = 2.25.

The value of (aQe/aQu) / ((aQu/aQd) / (aQe/aQu)) is very close to a
value I obtained from equations relating to gravity, as I will now
show.

Let,

Electron mass mE = 9.1093826e-31 kg
Muon mass = mM = 1.88353140e-28 kg
Tauon mass = mT = 3.16777e-27 kg
W Boson mass = mW = 1.43370576e-25 kg
Z Boson mass = mZ = 1.62556652e-25 kg
Proton mass = mP = 1.67262171e-27 kg
Neutron mass = mN = 1.67492728e-27 kg

and let,

aG = G.m^2 / hbar.c

where,

aG = gravitational equivalent of alpha
G = gravitational constant
m = mass
hbar = Planck's constant / 2.pi
c = speed of light in vacuum

Now let,

aGe = G.mE^2 /hbar.c = 1.7517829519333199375152456838356e-45
aGm = G.mM^2 /hbar.c = 7.4894191807238878521115740737885e-41
aGt = G.mT^2 /hbar.c = 2.1184084126318038998311978101091e-38
aGw = G.mW^2 /hbar.c = 4.3393279072136916224410812872346e-35
aGz = G.mZ^2 /hbar.c = 5.5784288898482934334094270597791e-35

aGp = G.mP^2 /hbar.c = 5.9060601846771527763912064816879e-39
aGn = G.mN^2 /hbar.c = 5.9223534325003233136959197004394e-39

By comparing ratio's as before, for the charges, I obtained the
following results.

1a = aGme = aGm / aGe = 42753.122882365885375010932021064

2a = aGtm = aGt / aGm = 282.85349791665015186959642704748
2b = aGemt = aGte / aGtm = 1a
2c = aGte = aGt / aGe = 12092870.354137566894843205505267

3a = aGwt = aGw / aGt = 2048.3906131314542970607360253099
3b = aGmtw = aGwm / aGwt = 2a
3c = aGwm = aGw / aGm = 579394.45002386353523450932877984
3d = aGemw = aGwe / aGwm = 1a
3e = aGwe = aGw / aGe = 24770922119.23103750990614804117

4a = aGzw = aGz / aGw = 1.2855513593648275259727726143489
4b = aGtwz = aGzt / aGzw = 3a
4c = aGzt = aGz / aGt = 2633.3113372212935968474181656684
4d = aGmtz = aGzm / aGzt = 2a
4e = aGzm = aGz / aGm = 744841.32283661439391582922969742
4f = aGemz = aGze / aGzm = 1a
4g = aGze = aGz / aGe = 31844292603.09773453866311356446

Also,
1a = (mM/mE)^2,
2a = (mT/mM)^2,
3a = (mW/mT)^2

This to me, looks very similar to the shell-like structure of electron
configuration around a nucleus.

It would be interesting to see how quark and neutrino masses would
effect this structure.

As I mentioned earlier, the value of (aQe/aQu) / ((aQu/aQd) /
(aQe/aQu)) is very close to the value of 4a. the ratio being
1.0157443042298681935956519361088 or 0.98449973663223694921645616504704
depending on which way round you entered the values.

I'm sure i've seen this value before, any ideas anyone?

I started all this by noticing that the equations for kC and G were
basicallty the same, so I have no idea what any of it means, if
anything.What do you guys think, is this a pile of garbage, or could I
be on to something here?

Has anyone tried this before?