DIRAC SQUARE-ROOT AND NEW HYPOTHETICAL HADRONIC STATES

Dirac's square root procedure, when extended to the reducible represen tations of Dirac algebra (defined by Clifford algebras) and combined w ith an intrinsic exclusion principle, leads successfully (within the s tandard model) to three families of leptons and quarks and, in additio n, to two families of not-yet-observed fundamental scalars. Among thes e, the coloured scalars imply new (generally unstable) hadronic states of five types.