Building the Standard Model particles and fields within a sphere fiber bundle framework

In this paper a sphere fiber bundle structure underlying the Standard Model of Particle Physics is developed. The developed bundle framework is shown to contain mathematical structures naturally suited for modeling the Standard Model’s elementary particles and fields.

This modeling yields numerous results across the spectrum of physics, including: a resolution to the family problem, explanation of the 6-6 lepton–quark split in nature, a spacetime structural explanation of dark matter and energy, prediction of repulsive gravitational effects occurring in localized regions of space maintained at energies $O\left(10^{15}K\right)$, a modeling of the SM elementary particles as vibrating closed loops in spacetime, elimination of the fermionic QFT VEV catastrophe, the unveiling of a grand unification model at odds with standard GUT models, prediction of Dirac-style magnetic monopoles and of a quark-gluon and quasi-quark-gluon plasma near inception of the universe, a topological explanation for quark confinement, resolution to the cosmological constant problem, and a presentation of the model’s topology of quantum entanglement which reconciles relativistic locality with quantum non-locality.