Yang-Mills Gravity in Flat Space-Time, I. Classical Gravity with Translation Gauge Symmetry

TL;DR

This paper develops a new translation gauge theory of gravity in flat space-time using a Yang-Mills framework, showing it reproduces classical gravitational effects and aligns with experimental tests.

Contribution

It introduces a novel flat space-time gauge theory of gravity based on translation symmetry with a quadratic curvature action, differing from general relativity.

Findings

Consistent with classical tests of gravity.

Reproduces quadrupole radiation of binary pulsars.

Proposes an effective Riemann metric tensor from gauge symmetry.

Abstract

We formulate and explore the physical implications of a new translation gauge theory of gravity in flat space-time with a new Yang-Mills action, which involves quadratic gauge curvature and fermions. The theory shows that the presence of an "effective Riemann metric tensor" for the motions of classical particles and light rays is probably the manifestation of the translation gauge symmetry. In the post-Newtonian approximation of the tensor gauge field produced by the energy-momentum tensor, the results are shown to be consistent with classical tests of gravity and with the quadrupole radiations of binary pulsars.