Quantum gauge confinement of multiple quarks based on the homogeneous 5D projection theory

Abstract

A quick and simplified review of the 5D quantum field theory is presented. The role of topological mapping, which must preserve gauge invariance, is done in two ways, leading to the realization of the gauge transformation in the 5D space-time becoming two separate gauge constraints, one for the multi-quark state quark constituents, while the other is the quantum confinement imposed on the gluon potentials, formed from products of vector potentials generated by products of the fractional charged quark currents. The procedure presented clearly shows multi-quark states can be designed and that they can be verified by experiments, such as the penta-quark state reported. Based on these gauge constraints we propose the existence of 4, 5 and 6 quark states.