# Phase transition and topology in 4d simplicial gravity

## TL;DR

This paper investigates phase transitions and topological effects in 4D simplicial gravity, providing evidence that the observed first-order transition is not due to algorithmic ergodicity issues and that the thermodynamical limit is topology-independent.

## Contribution

It demonstrates that the first-order phase transition in 4D simplicial gravity is not caused by ergodicity breakdown and shows the thermodynamical limit's independence from topology.

## Key findings

- First-order phase transition not due to ergodicity breakdown
- Thermodynamical limit is topology-independent
- Data supports robustness of phase transition characteristics

## Abstract

We present data indicating that the recent evidence for the phase transition being of first order does not result from a breakdown of the ergodicity of the algorithm. We also present data showing that the thermodynamical limit of the model is independent of topology.