Yang-Mills Gravity in Flat Space-time, II. Gravitational Radiations and Lee-Yang Force for Accelerated Cosmic Expansion

TL;DR

This paper explores Yang-Mills gravity in flat space-time, demonstrating its consistency with gravitational radiation experiments and proposing a novel long-range Lee-Yang force as a potential explanation for cosmic acceleration.

Contribution

It introduces a flat space-time Yang-Mills gravity framework that matches Einstein's predictions for gravitational radiation and proposes a new gauge force to explain cosmic acceleration.

Findings

Quadrupole gravitational radiation matches experimental results.

Lee-Yang force can produce a linear potential related to cosmic acceleration.

Experimental testability of the Lee-Yang force is discussed.

Abstract

Within Yang-Mills gravity with translation group $T(4)$ in flat space-time, the invariant action involving quadratic translation gauge-curvature leads to quadrupole radiations which are shown to be consistent with experiments. The radiation power turns out to be the same as that in Einstein's gravity to the second-order approximation. We also discuss an interesting physical reason for the accelerated cosmic expansion based on the long-range Lee-Yang force of $U_{b}(1)$ gauge field associated with the established conservation law of baryon number. We show that the Lee-Yang force can be related to a linear potential $\propto r$, provided the gauge field satisfies a fourth-order differential equation. Furthermore, we consider an experimental test of the Lee-Yang force related to the accelerated cosmic expansion. The necessity of generalizing Lorentz transformations for accelerated frames of reference and accelerated Wu-Doppler effects are briefly discussed.