# A proposed atom interferometry determination of $G$ at $10^{-5}$ using a cold atomic fountain

## TL;DR

This paper proposes a novel cold atomic fountain setup utilizing matter wave interferometry to measure the gravitational constant G with a relative accuracy of 10^{-5}, addressing longstanding discrepancies in its measurement.

## Contribution

The paper introduces a new experimental method for measuring G with high precision using cold atomic fountains and matter wave interferometry, including detailed error analysis.

## Key findings

- Potential to measure G at 10^{-5} accuracy
- Analysis of systematic errors and statistical uncertainties
- Feasibility of reaching 10^{-6} precision

## Abstract

In precision metrology the determination of the Newtonian gravity constant $G$ represents a real problem, since its history is plagued by huge unknown discrepancies between a large number of independent experiments. In this paper we propose a novel experimental setup for measuring $G$ with a relative accuracy of $10^{-5}$ using a standard cold atomic fountain and matter wave interferometry. We discuss in details the major sources of systematic errors, providing also the expected statistical uncertainty. Feasibility of determining $G$ at a level of $10^{-6}$ level is also discussed.