Compact sources and cosmological horizons in lower dimensional bootstrapped Newtonian gravity

TL;DR

This paper investigates how lower-dimensional bootstrapped Newtonian gravity models lead to finite vacuum regions around sources, suggesting the existence of cosmological horizons and potential links to baby universes in high-energy processes.

Contribution

It introduces a model of bootstrapped Newtonian gravity in one and two dimensions, revealing finite vacuum extensions and implications for cosmological horizons and baby universes.

Findings

Finite spatial extensions of vacuum in 1D and 2D models

Potential existence of cosmological horizons around compact sources

Implications for Planck-scale baby universes

Abstract

We study the bootstrapped Newtonian potential generated by a localised source in one and two spatial dimensions, and show that both cases naturally lead to finite spatial extensions of the outer vacuum. We speculate that this implies the necessary existence of a cosmological (particle) horizon associated with compact sources. In view of the possible dimensional reduction occurring in ultra-high energy processes - like scatterings at Planckian energies, the gravitational collapse of compact objects or the end-point of black hole evaporation - one can consider such lower-dimensional "bubbles" immersed in our Universe as describing (typically Planckian size) baby universes relevant to those dynamics.