Theoretical analysis derives a parameter-free geometric formula connecting electron mass to the gravitational constant, suggesting a fundamental unification of physical constants.
We present a purely geometric relation between the electron mass and the gravitational constant. The formula m_e=(15/8)(α/4π)^7√(ℏc/G) contains no fitting parameters, with all coefficients having combinatorial origins. The predicted value m_e=9.087×10^-31 kg has an equivalent accuracy of 0.242% compared to the measured value 9.109×10^-31 kg. This deviation can be attributed to the difference between the apparent value and geometric natural value of the fine-structure constant. The formula relates electron mass to gravitational constant through the Planck mass and fine-structure constant, suggesting a deeper geometric connection among fundamental constants.
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Tianpeng Luo (2026) studied this question.
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