Fractional quantum numbers deduced from experimental ground state meson spectra
arXiv:1003.5246
Abstract
Based on the Caputo definition of the fractional derivative the ground state spectra of mesons are classified as multiplets of the fractional rotation group. The comparison with the experimental values leads to the conclusion, that quarks carry an up to now unrevealed fractional multiplicative quantum number, which we call fractional hyper charge.
5 pages, 3 figures, draft for proceedings for IFAC FDA10 at Badajoz, Spain