Pati-Salam model in curved space-time from square root Lorentz manifold
arXiv:1412.2578 · doi:10.23880/psbj-16000186
Abstract
There is a U(4')\times U(4)-bundle on four-dimensional square root Lorentz manifold. Then a Pati-Salam model in curved space-time (Lagrangian) and a gravity theory (Lagrangian) are constructed on square root Lorentz manifold based on self-parallel transportation principle. An explicit formulation of Sheaf quantization on this square root Lorentz manifold is shown. Sheaf quantization is based on superposition principle and construct a linear Sheaf space in curved space-time. The transition amplitude in path integral quantization is given which is consistent with Sheaf quantization. All particles and fields in Standard Model (SM) of particle physics and Einstein gravity are found in square root metric and the connections of bundle. The interactions between particles/fields are described by Lagrangian explicitly. There are few new physics in this model. The gravity theory is Einstein-Cartan kind with torsion. There are new particles, right handed neutrinos, dark photon, Fiona, X^{\pm C} and Y^0,Y^1,Y^2,Y_*^1,Y_*^2.
8 pages, 4 figures
References in corpus (15)
- A Topos Foundation for Theories of Physics: I. Formal Languages for Physics
- A Topos Foundation for Theories of Physics: II. Daseinisation and the Liberation of Quantum Theory
- A Topos Foundation for Theories of Physics: III. The Representation of Physical Quantities With Arrows
- The Standard Model Algebra - Leptons, Quarks, and Gauge from the Complex Clifford Algebra Cl6
- Sheaf Quantization of Lagrangians and Floer cohomology
- On the Mathematics of Coframe Formalism and Einstein-Cartan Theory -- A Brief Review
- A topological model of composite preons from the minimal ideals of two Clifford algebras
- A Clifford Bundle Approach to the Differential Geometry of Branes
- Yang-Mills mass gap, Floer homology, glueball spectrum, and conformal window in large-N QCD
- Clifford Space as a Generalization of Spacetime: Prospects for Unification in Physics
- Clifford Structures in Noncommutative Geometry and the Extended Scalar Sector
- Floer homology of Lagrangian submanifolds
- Sheaf quantization and intersection of rational Lagrangian immersions
- Pati-Salam model in curved space-time from square root Lorentz manifold
- Sheaf quantization from exact WKB analysis