Extension of standard model by knot algebra

This paper makes a connection between the quantum group SLq(2), which described knots, and the elementary particles of the standard model. The elements of the fundamental (j = 1/2) representation of SLq(2) are interpreted as creation operators for preons. The preons interact through a preonic vector field defined by elements of the adjoint (j = 1) representation. The leptons and quarks then appear (as required by the electroweak data) as elements of the j = 3/2 representation. Unexpectedly the e...