# Long range order in gravity

## TL;DR

This paper explores how gravity can induce particle momentum alignment, using a 1D Ising model to analyze the conditions and implications for astrophysical and terrestrial environments.

## Contribution

It introduces a novel application of the Ising model to describe gravity-induced momentum alignment and calculates key parameters like alignment and correlation length.

## Key findings

- Momentum alignment is possible near certain astrophysical objects.
- Momentum oscillations follow spin oscillation dispersion relations.
- Alignment parameters suggest observable effects in laboratory settings.

## Abstract

Gravity induced condensation takes the form of momentum alignment in an ensemble of identical particles. Use is made of a one-dimensional Ising model to calculate the alignment per particle and the correlation length as a function of the temperature. These parameters indicate that momentum alignment is possible in the proximity of some astrophysical objects and in earth, or near earth laboratories. Momenta oscillations behave as known spin oscillations and obey identical dispersion relations.