DonJStevens

The theorist, Alexander Burinskii has modeled the electron as a naked ring singularity. In this model, the ring singularity radius is larger than the electron Schwarzschild radius so the singularity is naked. We can add to this model and test a hypothesis that the electron is a gravitationally collapsed entity with its collapse halted at the electron photon orbit radius, 3Gm divided by c squared. The electron mass energy is equal to 1/2 of the electromagnetic energy of a photon with the wavelength 1.213155109x10^-12 meters. This photon energy is labeled (E2) in the hypothesized electron mass energy equation below.

E1/E2 = E2/E3

The E1 is defined as (2/3)^1/2 times Planck mass energy while the E3 value is (1/2pi)^2 times the energy of a photon with frequency one cycle per second.

E1 = (hc^5/3pi G)^1/2 joule

E2 = 2mc^2 joule

E3 = h/(2pi)^2 joule

E2 = (E1)^1/2 (E3)^1/2 = (hc^5/3piG)^1/4 [h/(2pi)^2]^1/2

The electron mass is E2/(2c^2). The electron mass will then be (h/4pi c)(c/3pi hG)^1/4 kilogram. Further evaluations provide evidence that this value is precisely correct.

The electron Compton wavelength, labeled (Le) is determined next.

Le = h/mc = (h/c)(1/m)

Le = (h/c)(4pi c/h)(3pi hG/c)^1/4

Le = 4pi(3pi hG/c)^1/4

(1/2)(Le) = 1.2131551x10^-12 meters = 2pi(3pi hG/c)^1/4

h/2mc = 1.213155119x10^-12 meter

(h/4pi mc)(c/3pi h)^1/4 = G^1/4

G = 6.671745178x10^-11 N m^2/kg^2

This value for G is probably the best that can presently be determined. The larger mass muon is not stable because it can not collapse to a balanced condition without radiating excess mass energy away. A balanced condition requires that time dilation outside of the particle light orbit radius will be equal to time dilation within the particle light orbit radius. The electron mass value, E2/(2c^2) implies, equal time dilation factors are required to produce a stable state. With this concept, the electron is a gravitational wave geon rather than an electromagnetic wave geon.

In October, 1954, John Wheeler and Einstein agreed that GR allowed for electromagnetic wave geon solutions. However, electromagnetic geons were found to be unstable. Wheeler proposed, if a geon is small "-- a geon might radiate away some of its energy in electron-positron pairs". See John Wheeler book,"Geons, Black Holes, And Quantum Foam", page 237-238. Wheeler writes, "Such a (gravitational wave) geon, it seemed to me, might offer a transitional state between gravity waves and a black hole". A single photon (unstable) electromagnetic geon may change into a pair of gravitational wave geons that are stable.

When the electron is described as a gravitational wave geon, it has some, but not all of the predicted properties of a black hole. The electron lives in a space where its reference frame spins at light velocity. This space is very different from the one we live in.

Don Stevens

E1/E2 = E2/E3

The E1 is defined as (2/3)^1/2 times Planck mass energy while the E3 value is (1/2pi)^2 times the energy of a photon with frequency one cycle per second.

E1 = (hc^5/3pi G)^1/2 joule

E2 = 2mc^2 joule

E3 = h/(2pi)^2 joule

E2 = (E1)^1/2 (E3)^1/2 = (hc^5/3piG)^1/4 [h/(2pi)^2]^1/2

The electron mass is E2/(2c^2). The electron mass will then be (h/4pi c)(c/3pi hG)^1/4 kilogram. Further evaluations provide evidence that this value is precisely correct.

The electron Compton wavelength, labeled (Le) is determined next.

Le = h/mc = (h/c)(1/m)

Le = (h/c)(4pi c/h)(3pi hG/c)^1/4

Le = 4pi(3pi hG/c)^1/4

(1/2)(Le) = 1.2131551x10^-12 meters = 2pi(3pi hG/c)^1/4

h/2mc = 1.213155119x10^-12 meter

(h/4pi mc)(c/3pi h)^1/4 = G^1/4

G = 6.671745178x10^-11 N m^2/kg^2

This value for G is probably the best that can presently be determined. The larger mass muon is not stable because it can not collapse to a balanced condition without radiating excess mass energy away. A balanced condition requires that time dilation outside of the particle light orbit radius will be equal to time dilation within the particle light orbit radius. The electron mass value, E2/(2c^2) implies, equal time dilation factors are required to produce a stable state. With this concept, the electron is a gravitational wave geon rather than an electromagnetic wave geon.

In October, 1954, John Wheeler and Einstein agreed that GR allowed for electromagnetic wave geon solutions. However, electromagnetic geons were found to be unstable. Wheeler proposed, if a geon is small "-- a geon might radiate away some of its energy in electron-positron pairs". See John Wheeler book,"Geons, Black Holes, And Quantum Foam", page 237-238. Wheeler writes, "Such a (gravitational wave) geon, it seemed to me, might offer a transitional state between gravity waves and a black hole". A single photon (unstable) electromagnetic geon may change into a pair of gravitational wave geons that are stable.

When the electron is described as a gravitational wave geon, it has some, but not all of the predicted properties of a black hole. The electron lives in a space where its reference frame spins at light velocity. This space is very different from the one we live in.

Don Stevens