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If the true value of (0.5) times the electron Compton wavelength is (2 pi)
If the true value of (0.5) times the electron Compton wavelength is (2 pi)
times (3pi hG/c) Exponent 1/4, the mass or energy to photon wavelength relationship is defined by the gravitational constant and the electron mass. The value 3Gm times (2 pi) exponent 5 will be equal to (0.5 times electron wavelength) exponent 3.
times (3pi hG/c) Exponent 1/4, the mass or energy to photon wavelength relationship is defined by the gravitational constant and the electron mass. The value 3Gm times (2 pi) exponent 5 will be equal to (0.5 times electron wavelength) exponent 3.


Since there is no known, accepted theory to explain the numerical relationships described, these relationships may only be approximately correct. These relationships define very close approximations of electron properties if not actual true values and support the suggestion that the electron may be a sub-micro black hole. See Talk: Time dilation. Don J. Stevens
Since there is no known, accepted theory to explain the numerical relationships described, these relationships may only be approximately correct. These relationships define very close approximations of electron properties if not actual true values and support the suggestion that the electron may be a sub-micro black hole. See Talk: Time dilation. Don J. Stevens

Revision as of 15:13, 15 April 2004

Some theorists have suggested (recently Brian Greene) that the electron may be a sub-micro black hole. In general relativity, there is no minimum mass for a black hole. Very small mass black holes would look like elementary particles because they would be completely defined by their mass charge and spin.

If any photon is gravitationally blueshifted to the wavelength (3/2) exponent 1/2 times 2 pi (Planck length) it would appear to have the energy density to collapse and produce a pair of black holes, each with a photon capture radius (3G m/c squared) equal to the photon wavelength divided by 2 pi. This "limit wavelength" is (3 pi hG/c cubed) exponent 1/2.

The photon wavelength with energy equal to the mass energy of two electron particles is (0.5) times the electron Compton wavelength. The blueshift factor or time dilation factor that will reduce a wavelength from (0.5) times the Compton wavelength to the "limit wavelength" is (1/2 pi)exponent 1/2 times (3/2) exponent 1/4 times (Planck time/ one second) exponent 1/2. This is the indicated time dilation factor at the electron gravitational photon capture radius, approximately 1.025 x 10 exponent -22 seconds per second.

When this factor is inverted, it becomes the redshift factor that would apply to a photon as it escapes from gravitational confinement. The product of the "limit wavelength" and the redshift factor is equal to (0.5) times the electron Compton wavelength. The value (0.5) times electron Compton wavelength will then be (2 pi) times (3 pi hG/c) exponent 1/4 and the electron mass will be (h/4 pi c) times (c/3 pi hG) exponent 1/4.

If the true value of (0.5) times the electron Compton wavelength is (2 pi) times (3pi hG/c) Exponent 1/4, the mass or energy to photon wavelength relationship is defined by the gravitational constant and the electron mass. The value 3Gm times (2 pi) exponent 5 will be equal to (0.5 times electron Compton wavelength) exponent 3.

Since there is no known, accepted theory to explain the numerical relationships described, these relationships may only be approximately correct. These relationships define very close approximations of electron properties if not actual true values and support the suggestion that the electron may be a sub-micro black hole. See Talk: Time dilation. Don J. Stevens