F\left(x,\cdots,x_n\right)\equiv1\equiv{m_e}{e^4\over8c\epsilon_0^2h^3R_H}-{{\pi r_pcm_e}\over2h}
m_e={2R_\infty h\over c\alpha^2}
{1\over\alpha^2}={4c^2\epsilon_0^2h^2\over e^4-4\pi r_pc^2h^2R_H}
{1\over\alpha}=\alpha^{-1}=\sqrt{{4c^2\epsilon_0^2h^2\over e^4-4\pi r_pc^2h^2R_H}}
\alpha^{-1}={e^4-4\pi r_pc^2h^2R_H\over4c^2\epsilon_0^2h^2}
Google Calculator Check of new equation = 137.073329
(fine-structure constant)^{-1} = 137.035999138 NIST/CODAT/built-in constant
5 digit accuracy! at least!!!
m_e={2R_\infty h\over c\alpha^2}
{1\over\alpha^2}={4c^2\epsilon_0^2h^2\over e^4-4\pi r_pc^2h^2R_H}
{1\over\alpha}=\alpha^{-1}=\sqrt{{4c^2\epsilon_0^2h^2\over e^4-4\pi r_pc^2h^2R_H}}
\alpha^{-1}={e^4-4\pi r_pc^2h^2R_H\over4c^2\epsilon_0^2h^2}
Google Calculator Check of new equation = 137.073329
(fine-structure constant)^{-1} = 137.035999138 NIST/CODAT/built-in constant
5 digit accuracy! at least!!!
more later in follow up posts.
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