# Gravity at a Quantum Condensate

## TL;DR

This paper explores how a quantum superconducting condensate in curved space-time can generate a geometric potential, linking the condensate's wavefunction to space-time curvature and suggesting experimental ways to induce such curvature.

## Contribution

It introduces a novel theoretical framework connecting quantum condensates with space-time curvature and proposes potential experimental methods to manipulate this curvature.

## Key findings

- Geometric potential arises from quantum condensate in curved space-time
- Scalar curvature relates directly to the condensate's wavefunction
- Possible experimental procedures to induce space-time curvature

## Abstract

Provided a quantum superconducting condensate is allowed to occupy a curved hyper-plane of space-time, a geometric potential from the kinetic term arises. An energy conservation relation involving the geometric field at every material point in the superconductor can be demonstrated. The induced three-dimensional scalar curvature is directly related to the wavefunction/order parameter of the quantum condensate thus pointing the way to a possible experimental procedure to artificially induce curvature of space-time via change in the electric/probability current density.