Seven-Dimensional Charge Space

Abstract

Some implications of a charge space of seven (rotational) dimensions are considered for (I) particle classification, (II) strong interactions, and (III) weak interactions. The principal conclusions from this point of view are that (I) all particles except the photon and graviton can be incorporated in 7 dimensional charge space; lepton conservation must be abandoned, which automatically introduces parity nonconservation into $\ensuremath{\beta}$ decay; (II) the one boson, two fermion interaction is predominantly pseudovector in form and induces no mass differences; the $\ensuremath{\Sigma}\ensuremath{-}\ensuremath{\Lambda}$ mass difference arises from interference with a fundamental two boson, two fermion interaction of lower charge symmetry; the $\ensuremath{\Xi}\ensuremath{-}N$ mass difference has an "intrinsic" basis and is not due entirely to strong interactions; (III) the weak universal Fermi interaction has signature -1 under time reversal; the strangeness change $\ensuremath{\Delta}S=\ifmmode\pm\else\textpm\fi{}1$ is associated with 256 independent (in principle) terms; the rule $\ensuremath{\Delta}I=\ifmmode\pm\else\textpm\fi{}\frac{1}{2}$ needs further qualification because I = T+U, where T and U are independent operators.