• Corpus ID: 119184908

Spontaneously Broken Erlangen Program Offers a Bridge Between the Einstein and the Yang-Mills Theories

@article{Yang2012SpontaneouslyBE,
  title={Spontaneously Broken Erlangen Program Offers a Bridge Between the Einstein and the Yang-Mills Theories},
  author={Yi Yang and Wai Bong Yeung},
  journal={arXiv: General Physics},
  year={2012}
}
We shall give dynamics to our spacetime manifold by first identifying the local affine symmetry as the characterizing symmetry for our geometry \'a la Felix Klein, and then by prescribing 16 gauge vector bosons to this symmetry \'a la Yang and Mills. The locally affine symmetric Yang-Mills Lagrangian in the presence of a background world metric, and the corresponding equations of motion, are respectively constructed and derived. Spontaneous breaking of the local affine symmetry to the local… 

A New Approach to the Yang-Mills Gauge Theory of Gravity and It's Applications

We shall give dynamics to our spacetime manifold by first identifying the local affine symmetry as the characterizing symmetry for our geometryla Felix Klein, this symmetry is imposed on us by the

The non-Abelian Weyl$$-$$-Yang$$-$$-Kaluza$$-$$-Klein gravity model

The Weyl$$-$$-Yang gravitational gauge theory is investigated in the structure of a pure higher-dimensional non-Abelian Kaluza$$-$$-Klein background. We construct the dimensionally reduced field

A black hole solution of higher-dimensional Weyl–Yang–Kaluza–Klein theory

We consider the Weyl–Yang gauge theory of gravitation in a (4 + 3)-dimensional curved space-time within the scenario of the non-Abelian Kaluza–Klein theory for the source and torsion-free limits. The

A Yang-Mills Type Gauge Theory of Gravity and the Dark Matter and Dark Energy Problems

A Yang-Mills type gauge theory of gravity is shown to have a structure richer than that of the Einstein's General Theory of Relativity. This new structure can give an explanation of the form of the

References

SHOWING 1-9 OF 9 REFERENCES

INTRODUCTION TO GEOMETRY

This paper is an introduction to Riemannian and semi-Riemannian manifolds of constant sectional curvature. We will introduce the concepts of moving frames, curvature, geodesics and homogeneity on six

Nuovo Cimento IX

  • 263
  • 1958

For a discussion on higher derivative theories, see K. S. Stelle

  • Ann. Phys. (Leipzig)
  • 1919

The original affine transformations introduced by Euler include the action of translations

  • 1989

See also Appendix II of Ref

  • 2011

For an analysis on the occurrence of unphysical states in gravity theories with torsion, see

  • Int. J. Mod. Phys, D
  • 2002

Erice Lecture 1979

  • Plenum Press, New York
  • 1979

* Electronic address: yi.yang@cern.ch † Electronic address: phwyeung@phys

    Infinitecomponent GL(4 R) spinors are considered as matter fields

    • J. of Math. Phys
    • 1989