Schemes based on anticommuting scalar coordinates, corresponding to properties, lead to generations of particles naturally. The application of Grassmannian duality cuts down the number of states substantially and is vital for constructing sensible Lagrangians anyhow. We apply duality to all of the subgroups within the classification group SU(3)× SU(2)L × SU(2)R, which encompasses the standard model gauge group, and thereby determine the full state inventory; this includes the definite prediction of quarks with charge −4/3 and other exotic states. Assuming universal gravitational coupling to the gauge fields and parity even property curvature, we also obtain 4 sin2θ𝓌 = 1 − 2α/3αs which is not far from the experimental value around the MZ mass.
History
Publication title
International Journal of Modern Physics A
Volume
31
Issue
26
Article number
1650153
Number
1650153
Pagination
18
ISSN
0217-751X
Department/School
School of Natural Sciences
Publisher
World Scientific Publishing Company
Place of publication
Journal Dept Po Box 128 Farrer Road, Singapore, Singapore, 912805
Rights statement
Copyright 2016 World Scientific Publishing Company