# 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…

## 4 Citations

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

- Physics
- 2013

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

- Mathematics
- 2013

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

- PhysicsClassical and Quantum Gravity
- 2021

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

- Physics
- 2012

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…

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