# Large scale solitonic back-reaction effects in pre-inflation

## TL;DR

This paper investigates how solitonic back-reaction effects emerge on cosmological and astrophysical scales during pre-inflation using Relativistic Quantum Geometry, revealing that large-scale modes are more coherent and resemble coarse-grained solitons.

## Contribution

It introduces a model using Relativistic Quantum Geometry to analyze solitonic back-reaction modes during pre-inflation, highlighting their scale-dependent coherence.

## Key findings

- Large-scale back-reaction modes are more coherent than astrophysical ones.
- Back-reaction modes can be modeled as coarse-grained solitons.
- The study connects topological phase transitions with solitonic effects in early universe.

## Abstract

Using Relativistic Quantum Geometry (RQG), we study the emergence of back-reaction modes with solitonic properties, on astrophysical and cosmological scales, in a model of pre-inflation where the universe emerge from a topological phase transition. We found that, modes of the geometrical field that describes back-reaction effects related to larger scales (cosmological scales), are more coherent than those related to astrophysical scales, so that they can be considered a coarse-grained soliton.