The Electron Mass from Golden-Ratio QCD Binding

Key Points

• The aim is to derive the electron mass based on Fibonacci constants and quantum chromodynamics.
• The electron mass was calculated using the formula $m_e = \alpha^{-1}\phi^4/(6\pi^5)$.
• The proton mass was first derived as $m_p = \alpha^{-1}\phi^4$ to establish a relation with the electron mass.
• The calculated electron mass is $0.5115$ MeV, closely matching the experimental value of $0.51100$ MeV (0.11% error).
• The derived proton mass is $939.3$ MeV, also with a 0.11% margin of error.