XXVII Workshop on Geometric Methods in Physics 29.06-05.07.2008

Franklin Schroeck

The Poincare' Group in a Hemisemidirect Product with a Non-associative Algebra with Representations that include Particles and Quarks

The quarks have always been a puzzle, as have the particles' mass and mass/spin relations as they seemed to have no coordinates in configuration and/or momentun space. The solution to this seems to lie in the marriage of ordinary Poincare' group representations with a non-associative algebra made through a hemisemidirect product.