# Proposed experimental test of Randall-Sundrum Models

## TL;DR

This paper proposes an experimental method using nanoelectromechanical systems to test the short-distance gravitational modifications predicted by Randall-Sundrum models, by analyzing particle motion in a spherical gravitational field with drag.

## Contribution

It introduces a feasible experimental approach to distinguish Randall-Sundrum models from general relativity through measurable particle stopping distances.

## Key findings

- Potential to detect deviations from general relativity at short distances.
- Utilizes current nanoelectromechanical technology for experimental tests.
- Provides a practical framework for testing extra-dimensional theories.

## Abstract

The Randall-Sundrum models are expected to modify the short distance behavior of general relativity. In this paper, we will propose an experimental test for this short distance modification due to Randall-Sundrum models. This will be done by analyzing motion of a particle which is moving in spherical gravitational field with a drag force. The position at which the particle stops will be different in general relativity and Randall-Sundrum model. This difference in the distance moved by the particle before stopping can be measured using a Nanoelectromechanical setup. Thus, it is possible to experimentally test Randall-Sundrum models using currently available technology.