## Dimensionless Physical Constant Mysteries

**Authors:** Ke Xiao

Feynman proposed searching for -α^(1/2)=-0.08542455 with the ± sign on the -α^(1/2) for the positive and negative charge, and may be related to π, ϕ, 2 and 5. We found α^(1/2)≈±log e/Φπ=±0.0854372 where Φ=1/ϕ=2cos(π/5). I/FQHE R_xy=± Z_0/2αν_i α^(1/2)=±log e^(±ϕ/Kπ) where Φ-ϕ-e-π in Euler Identity and K~{3,37,61} from 2^((p-1)) (p-1)!∈2^n n! are linked to Quantum theories. The energy-mass formula E=mc^2 and special relativistic mass m=γ m_0 established the particle rest-mass m_0 , mass-ratio m_i/m_e , mass-defect ∆m . The rest-mass of a particle can be quantized by the fine structure constant and the proton-electron mass ratio β_(p/e)=(α^(-3/2)-2α^(1/2)+α^2/πϕ^2-ηα^3)lnπ . The hydrogen atomic rest-mass is m_(1_H )=m_(p+)+m_e (1-α^2 ln10) in the Quantum Gravity. The high-energy W^± boson α_W^(1/2)=≈±(1-αsin^2 θ_w)log F/Φπ , where Fransén-Robinson constant F=∫_0^∞□(dt/(Γ(t)))=2.80777⋯ replaced e=∑_(n=0)^∞□(1/(Γ(n)))=2.71828⋯ We get the g-factors of particles (Leptons and Baryons).

**Comments:** 61 Pages.

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### Submission history

[v1] 2012-05-09 10:53:39

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