# A New Action for Nonrelativistic Particle in Curved Background

## TL;DR

This paper introduces a novel action formulation for a nonrelativistic particle in a curved Newtonian background, addressing previous inconsistencies through galilean gauge theory.

## Contribution

It presents a new, consistent action for nonrelativistic particles in curved backgrounds using galilean gauge theory, improving upon prior formulations.

## Key findings

- New action form derived and validated
- Previous formulations found to have inconsistencies
- Galilean gauge theory effectively analyzes nonrelativistic symmetries

## Abstract

We obtain a new form for the action of a nonrelativistic particle coupled to Newtonian gravity. The result is different from that existing in the literature which, as shown here, is riddled with problems and inconsistencies. The present derivation is based on the formalism of galilean gauge theory, introduced by us as an alternative method of analysing nonrelativistic symmetries in gravitational background.