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

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