http://blackholeformulas.com/

5 June 2012

The electron and proton have mass, charge, angular momentum and magnetic moment which can be tied together with the dynamic structure of a ring. They are tiny machines which have energy in orbit like Bohr's planetary atoms, helical electromagnetic waves and the Cosmos.

Ratio of electrostatic to gravitational forces

**FGE = G*me ^{2}/r^{2}**, this is the gravitational force between two electrons at a separation of

**FCE/FGE = c ^{2}*rc/(G*me) = 4.16E42**, this is the huge ratio of electrostatic repulsive forces to gravitational attractive forces between two electrons.

**FCE = FGE?** We can write, the electrostatic repulsion of the charge of the electrons equals the gravitational attraction of the electrons, and see what happens.

**me*c ^{2}*rc/r^{2} = G*me^{2}/r^{2}**.

For an alternate approach see Don J. Stevens here or here.

Electrons

Bergman's and Wesley's 1990 ring electron paper, ring protons and dual ring electron-proton neutrons are at this site worth exploring.

Planck's law

Electron magnetic moment

The huge magnetic field of the electron from the electron magnetic moment is

**BrE = me*c ^{2}/(ce*c*r_{ring})** where the magnetic field increases as

Proton magnetic moment

The radius of the ring proton =

The radius of the tube of the ring proton is

Proton magnetic field

Bohr magneton or electron magnetic moment

Electron angular momentum or spin

The

Electron spin

Planck's law, the spin and the magnet moment of the electron imply that the radius of the electron is **r _{ring} = rc/alpha** and that the circumference is,

The g-factor

This is a quote from Wiki, "The spin of a charged particle is associated with a magnetic dipole moment with a g-factor differing from 1. This is incompatible with classical physics, assuming that the charge and mass of the particle are distributed evenly in The electron is not a sphere

Is the electron a disk or a ring or what?where

**r = I * 4*pi*c/hp**, from above.

**r = 1/2*m*r ^{2} * 4*pi*c/hp**, substitute for the moment of inertia of a

*I speculate**, the ambiguity in the shape of the electron, in its moment of inertia, might be resolved in favor of the disk shaped electron. We have toroidal currents along the circumference of the ring of the electron and poloidal magnetic flux through the area of the ring of the electron. Both of which have energy and therefore mass.
It would be hard to say the mass is only confined to the ring. The mass might be said to be confined to something like a disk which includes the ring. *

q*E = q*c*B

The charge of the electron is Poincare stress and energy density

"Poincare stress" has to be present to prevent the electric charge of an electron from flying apart due to the Coulomb repulsion". See Paul Marmet.kg*m/s

This is the magnetic pinch pressure equals the electrostatic pressure of repulsion. This magnetic pinch pressure restrains the charge to the thin ring of the electron like a hose restrains water.

Electron energy

Cyclotron formula and the magnetic field

The

Toroidal electron current

Ampere’s law

The poloidal magnetic field around the tube of the electron is associated with the toroidal current along the ring of the electron.r

r

r

The ratio

Bergman and Wesley in their version of the ring electron used charge/area = surface charge density. I see current through the tube which implies charge/volume = charge density. The ring electron model may illuminate some of these questions but we are very far from understanding nature.

Ampere's and Faraday's laws

The red The green

The poloidal green flux of B/(c*u0)

Green exerts a torque around red. This is a cross section through the second figure. It shows a single green loop of the poloidal flux around the tube and a piece of the red ring is now shown as a red arrow. In this cross section, showing the tube of the electron, the former red toroidal is now red poloidal and the former green poloidal is now green toroidal. This perpendicular transformation, in going to a cross section, changes our viewpoint from Faraday to Ampere.

These helical current loops wrap around the green magnetic field which wraps around the torus. The red side of the loops and the blue side of the loops go in different directions, so they have a tendency to cancel when they are close together. Where the loops point in a common direction they have a tendency to add like the blue line at the top, which touches the torus, and the red line at the bottom, which is a little farther out from the torus.

**me*c ^{2} *alpha/(2*rc^{3}) = 1.3349E28_kg/(m*s^{2}).** Ring electron energy density using only the volume of the ring. This is

me*c

1/(2*rc) / {me*alpha/(ce

ce

ce

**Constants:**

**me = 9.109E-31_kg,** mass of the electron

**ce = 1.602E-19_A*s,** charge of the electron

**e0 = 1E7/(4*pi*c ^{2})_A^{2}*s^{2}/(kg*m), ** permittivity of free space.

**rc = ce ^{2}/(4*pi*e0*me*c^{2}) = 2.82E-15_m,** the classical radius of the electron.

hp = Planck's constant = 2*pi*me*c*rc/alpha = 6.626E-34 _kg*m

frequency*wavelength = c

me*c

me*c

wavelength = hp/(me*c) = Compton's wavelength = 2.426E-12_m,

Any symbolic definition of

**me*c ^{2}*rc = ce^{2}/(4*pi*e0) = 2.307E-28_kg*m^{3}/s^{2},** for comparison with,

Are these small and similar numbers a clue linking the force between electrons and the cosmological constants or is this merely numerology ?

Go to Magnets

Go to index @ blackholeformulas.com