quantum black hole lepton mass spectrum...
According to QCD, a proton is not a elementary or fundamental particle.
Wikipedia said:
These equations define the electron as a single photon microgeon and also as a gravitationally confined particle with its gravitational force and electromagnetic force precisely balanced. It therefore has the properties of an extremal black hole without an event horizon.
The extremal black hole electron is clearly quantized, with only one mass value allowed, because gravitational force and electromagnetic force are required to be balanced.
The solution I derived for the quantum black hole electron mass:
\boxed{m_e = \frac{1}{2 \sqrt{\pi} (6G)^{\frac{1}{4}}} \left( \frac{\hbar}{c} \right)^{\frac{3}{4}}}
The solution I derived for the quantum black hole mass:
\boxed{m = C_1 \cdot m_L}
C_1 - quantized dimensionless constant
Quantum black hole quantum lepton mass:
\boxed{m_L = \frac{1}{3 \sqrt{2 \pi} G^{\frac{1}{4}}} \left( \frac{\hbar}{c} \right)^{\frac{3}{4}}}
Quantum black hole quantum lepton mass theorem:
\boxed{m = C_1 \left[ \frac{1}{3 \sqrt{2 \pi} G^{\frac{1}{4}}} \left( \frac{\hbar}{c} \right)^{\frac{3}{4}} \right]}
Quantum black hole Lepton quantum mass spectrum:
Quantum black hole Electron mass:
\boxed{m_e = \left( \frac{3}{2} \right)^{\frac{3}{4}} \left[ \frac{1}{3 \sqrt{2 \pi} G^{\frac{1}{4}}} \left( \frac{\hbar}{c} \right)^{\frac{3}{4}} \right]}
Quantum black hole Muon mass:
\boxed{m_{\mu} = \left( \frac{7}{2} \right)^{\frac{9}{2}} \left[ \frac{1}{3 \sqrt{2 \pi} G^{\frac{1}{4}}} \left( \frac{\hbar}{c} \right)^{\frac{3}{4}} \right]}
Quantum black hole Tauon mass:
\boxed{m_{\tau} = \left( \frac{8}{5} \right)^{18} \left[ \frac{1}{3 \sqrt{2 \pi} G^{\frac{1}{4}}} \left( \frac{\hbar}{c} \right)^{\frac{3}{4}} \right]}
Quantum black hole Proton mass:
\boxed{m_p = \left( \frac{7}{4} \right)^{14} \left[ \frac{1}{3 \sqrt{2 \pi} G^{\frac{1}{4}}} \left( \frac{\hbar}{c} \right)^{\frac{3}{4}} \right]}
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Reference:
http://en.wikipedia.org/wiki/Black_hole_electron#Discrete_Mass.2C_Spin_and_Stability"
http://en.wikipedia.org/wiki/Compton_wavelength"
http://en.wikipedia.org/wiki/Electron"
http://en.wikipedia.org/wiki/Muon"
http://en.wikipedia.org/wiki/Tau_lepton"
http://en.wikipedia.org/wiki/Proton"
