Frame-dragging effects in a gravitational quantum field theory

TL;DR

This paper derives frame-dragging effects within the gravitational quantum field theory (GQFT) framework, providing constraints on its parameters from current and future experimental measurements, and comparing them with existing empirical bounds.

Contribution

It introduces the derivation of Lense-Thirring frame-dragging effects in GQFT and assesses experimental constraints on its parameters from recent and upcoming measurements.

Findings

Current Lense-Thirring measurements constrain |b3_W| to less than 2d7 10^{-2}.

Cassini data constrains b3_W to approximately (2.1 b1 2.3)d7 10^{-5}.

Future experiments like LARES 2 will improve measurement precision by an order of magnitude.

Abstract

Analogous to magnetism in electrodynamics, it is gravitomagnetism in relativistic gravity. Since gravity determines locally inertial frames, in general relativity (GR) and other relativistic theories of gravity, frame-dragging with source motion plays a key role in gravitomagnetism. Recently, Wu has put forward a gauge theory of gravity, called the gravitational quantum field theory (GQFT), with the gravitational force and the spin gauge force described by the gauge fields. Gao {\it et al.} ({\it Phy. Rev. D 109, 064072}) have derived the Shapiro time delay in the GQFT and given an empirical constraint from the Cassini experimental result on the dimensionless GQFT parameter $\gamma_W$ to be $(2.1\pm 2.3)\times 10^{-5}$. In this work, we derive the frame-dragging Lense-Thirring effects in the GQFT. The current precision of LARES-LAGEOS Lense-Thirring measurement gives a constraint on $|\gamma_W|$ to be less than $2\times 10^{-2}$. This constraint is consistent with, but subdominant to, the Cassini experimental constraint. As a candidate of quantum gravity, we do not expect that the deviation from the GR value ($\gamma_W=0$) is large, classically. With the launch of LARES 2, the precision of the Lense-Thirring measurement is expected to increase by one order of magnitude in a couple of years. As to the Shapiro effect, current technologies have the capability to measure the $\gamma_W$ parameter to a precision of $10^{-9}$.