# The fast non-commutative sharp drop

## TL;DR

This paper presents an exact solution to a membrane matrix model describing a fast-moving, axially symmetric drop with a sharp tip, advancing understanding of dynamic membrane configurations.

## Contribution

It introduces a novel exact solution for a membrane matrix model representing a rapidly moving sharp-tipped drop.

## Key findings

- Provides an explicit membrane matrix solution for a fast-moving drop.
- Models the world volume of a sharp-tipped axially symmetric drop.
- Enhances theoretical understanding of dynamic membrane configurations.

## Abstract

An exact GH membrane matrix model solution is given that corresponds to the world volume swept out by a fast moving axially symmetric drop with a sharp tip.