Yutaka Akiyama

An Eleven-Dimensional Geometric Reading of Lenz's 6π^5 Approximation to the Proton–Electron Mass Ratio — A Doodle with the Unit 11-Ball and Twenty Equatorial Cross-Polytopes

That the proton-to-electron mass ratio m_p/m_e ≈ 1836.15 can be approximated by 6π^5 = 1836.118 is a well-known numerical coincidence, dating from an extremely short 1951 note by F. Lenz. The present paper shows that 6π^5 need not be read as mere number-matching: it can be drawn,...