General Yang–Mills Symmetry From Quark Confinement to an Antimatter Half-Universe

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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. Sample Chapter(s) Preface Chapter 1: Underpinnings Contents: Preface Overview About the Authors Broader Particle-Cosmology: New Perspectives On Dark Matter, Dark Energy, And The Missing Anti-Matter: Underpinnings A Model for Dark Matter A Model for Dark Energy The Question of the Missing Antimatter: The Big Jets Model The Evolution of the Universe Symmetry-Unified Quark-Cosmic Model Based On General Yang-Mills Symmetry: A Universal Principle of Interactions for Quarks and Leptons Finite Fermion Self-Masses and a Non-Propagating Phase Field Quark Confinement and the Accelerated Cosmic Expansion A Simple Harmonic Oscillator Model for 3-Quark Confinement Total Symmetry-Unified Model and Violations of All Internal Gauge Symmetries by Yang-Mills Gravity Appendices: Quantum Yang-Mills Gravity vs. Classical Einstein Gravity A New Gauge Invariant Phase Equation for Bound Fermions in Superconductors Quantum Shell Model for 3-Quark Bound States Epilogue Author Index Subject Index Readership: Graduate students, researchers interested in theoretical physics, astrophysics and cosmology.