Fundamental Theory of Torsion Gravity
arXiv:1703.02287 · doi:10.3390/universe7080305
Abstract
In this work we present the general differential geometry of a background in which the space-time has both torsion and curvature with internal symmetries being described by gauge fields, and that is equipped to couple spinorial matter fields having spin and energy as well as gauge currents: torsion will turn out to be equivalent to an axial-vector massive Proca field and because the spinor can be decomposed in its two chiral projections, torsion can be thought as the mediator that keeps spinors in stable configurations; we will justify this claim by studying some limiting situations. We will then proceed with a second chapter, where the material presented in the first chapter will be applied to specific systems in order to solve problems that seems to affect theories without torsion: hence the problem of gravitational singularity formation and positivity of the energy are the most important, and they will also lead the way for a discussion about the Pauli exclusion principle and the concept of macroscopic approximation. In a third and final chapter we are going to investigate in the light of torsion dynamics some of the open problems in the standard models of particles and cosmology which would not be easily solvable otherwise.
adapted so to appear as Introduction to the Special Issue "Torsion-Gravity and Spinors in Fundamental Theoretical Physics" https://www.mdpi.com/journal/universe/special_issues/Torsion_Gravity
References in corpus (28)
- A direct empirical proof of the existence of dark matter
- Constraints on Torsion from Lorentz Violation
- Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
- Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
- Big bounce and closed universe from spin and torsion
- Einstein-Cartan Portal to Dark Matter
- Axions in gravity with torsion
- Dirac fields in f(R)-gravity with torsion
- Elie Cartan's torsion in geometry and in field theory, an essay
- Observational Constraints in Metric-Affine Gravity
- Parity violating Friedmann Universes
- On the junction conditions in -gravity with torsion
- Spinor driven cosmic bounces and their cosmological perturbations
- Torsion instead of Technicolor
- Singularity-free spinors in gravity with propagating torsion
- On the Mathematics of Coframe Formalism and Einstein-Cartan Theory -- A Brief Review
- Torsion in Extra Dimensions and One-Loop Observables
- Solar neutrinos, helicity effects and new affine gravity with torsion II
- Updated limits on extra dimensions through torsion and LHC data
- Torsion in Gauge Theory
- Restrictions on torsion-spinor field theory
- Lorentz Gauge Theory and Spinor Interaction
- A geometrical assessment of spinorial energy conditions
- Axially-Symmetric Exact Solutions for Flagpole Fermions with Gravity
- Non-Causal Propagation for Higher-Order Interactions of Torsion with Spinor Fields
- Black Hole singularity avoidance by the Higgs scalar field
- Torsion Limits From Production at the LHC
- Dark Matter and Torsion