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 Subatomic Particle Radii

 

The classical electron radius is given by NIST to be:

classical electron radius
$r_{\rm e}=\alpha^2 a_0=\alpha^3/4\pi R_\infty$
 Value  2.817 940 285 x 10-15 m
 Standard uncertainty  0.000 000 031 x 10-15 m
  Relative standard uncertainty   1.1 x 10-8
 Concise form  2.817 940 285(31) x 10-15 m    

And the Bohr radius is given by NIST to be:

Bohr radius
$a_0=\alpha/4\pi R_\infty = 4\pi\epsilon_0 \hbar^2/m_{\rm e}e^2$
 Value  0.529 177 2083 x 10-10 m
 Standard uncertainty  0.000 000 0019 x 10-10 m
  Relative standard uncertainty   3.7 x 10-9
 Concise form  0.529 177 2083(19) x 10-10 m    

As shown in the Aether Physics Model, the shape of the particles is toroidal in nature.  The formula for a toroid surface area is equal to the small radius times 2pi, times the large radius times 2pi.  Since we know the toroid surface area of the electron, based on the quantum measurements of Planck's constant, is the Compton wavelength squared: 

we can setup an identity with regard to the electron radii and the surface area of the electron:

But first, let's define the classical electron radius in terms of quantum measurements:

And likewise, we'll do the same for the Bohr radius:

Applying these two radii to the equation for the surface area of a toroid, which must equal the Compton wavelength squared gives:

So it appears that both the classical electron radius AND the Bohr radius apply to the electron.  Experiments that measure one or the other radius must be looked at to see why they measure either the small radius or large radius.  The results of this observation should be beneficial to Quantum Physics.

Assuming that the proton and neutron are similarly structured, and assuming that the derived fine structures for the proton and neutron are correct, the same symmetry would apply.  

and

and

The radii expressed in terms of quantum length would be:

These radii may only apply to free protons and neutrons, if at all.  They are theoretical values at this time since there are no official published radii for the proton and neutron.  However, I did find one site that gives the proton radius as:

rp = 2 x 10-16m

This proton radius is fairly close to the proton fine structure divided by the electron fine structure constant.

It is known that the proton and neutron change shape depending on which isotope the nuclei belong to.  Perhaps when there is an electron in orbit around the proton, the electron(s) influences the shape of the proton?

The concept of the classical electron radius and Bohr radius as the two radii of the electron toroid was inspired by the independent research of David McCutcheon and his Ultrawave Theory.
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Last updated on Wednesday, May 02, 2007 01:09:25 PM