General Yang-Mills Symmetry

General Yang-Mills SymmetryThis monograph expounds on general Yang Mills symmetry, a new symmetry based on arbitrary vector gauge functions and Hamilton's characteristic phase functions in the gauge transformations of Abelian and non Abelian groups. General Yang Mills symmetry includes the conventional gauge symmetries as special cases and is useful for describing phenomena at scales ranging from the super macroscopic such as dark matter, to the ultra microscopic such as the

This monograph expounds on general Yang-Mills symmetry, a new symmetry based on arbitrary vector gauge functions and Hamilton's characteristic phase functions in the gauge transformations of Abelian and non-Abelian groups. General Yang-Mills symmetry includes the conventional gauge symmetries as special cases and is useful for describing phenomena at scales ranging from the super-macroscopic such as dark matter, to the ultra-microscopic such as the quantum 3-body problem of baryons. Moreover, this symmetry supports the Broader Particle-Cosmology framework based on particle physics and quantum Yang-Mills gravity in flat space-time, which can explain why the gravitational force is always attractive. This volume also discusses how CPT invariance in particle physics suggests a "Big Jets" model for the birth of the universe, proposing one explanation for the dearth of anti-matter in our universe. Finally, we discuss a simplified quantum shell model for N baryons with a quark Hamiltonian and a Sonine-Laguerre equation that gives reasonable eigenvalues for the energies of the 29 N baryons.