# Cosmic Conundra Explained by Thermal History and Primordial Black Holes

## TL;DR

This paper proposes a unified primordial black hole (PBH) formation model linked to early Universe phase transitions, explaining dark matter, black hole mergers, and cosmic background correlations, with testable predictions for gravitational wave observations.

## Contribution

It introduces a multi-modal PBH mass spectrum model that connects cosmic conundra to early Universe phase transitions and predicts specific gravitational wave signatures.

## Key findings

- PBH mass spectrum peaks at specific masses including stellar and supermassive scales.
- Recent gravitational wave events match the predicted mass gaps, supporting the primordial origin hypothesis.
- The model links PBH formation to early Universe phase transitions, offering new probes of fundamental physics.

## Abstract

A universal mechanism may be responsible for several unresolved cosmic conundra. The sudden drop in the pressure of relativistic matter at $W^{\pm}/Z^{0}$ decoupling, the quark--hadron transition and $e^{+}e^{-}$ annihilation enhances the probability of primordial black hole (PBH) formation in the early Universe. Assuming the amplitude of the primordial curvature fluctuations is approximately scale-invariant, this implies a multi-modal PBH mass spectrum with peaks at $10^{-6}$, 1, 30, and $10^{6}\,M_{\odot}$. This suggests a unified PBH scenario which naturally explains the dark matter and recent microlensing observations, the LIGO/Virgo black hole mergers, the correlations in the cosmic infrared and X-ray backgrounds, and the origin of the supermassive black holes in galactic nuclei at high redshift. A distinctive prediction of our model is that LIGO/Virgo should observe black hole mergers in the mass gaps between 2 and $5\,M_{\odot}$ (where no stellar remnants are expected) and above $65\,M_{\odot}$ (where pair-instability supernovae occur) and low-mass-ratios in between. Therefore the recent detection of events GW190425, GW190814 and GW190521 with these features is striking confirmation of our prediction and may indicate a primordial origin for the black holes. In this case, the exponential sensitivity of the PBH abundance to the equation of state would offer a unique probe of the QCD phase transition. The detection of PBHs would also offer a novel way to probe the existence of new particles or phase transitions with energy between $1\,{\rm MeV}$ and $10^{10}\,$GeV.