Baryon number conservation in Bose-Einstein condensate black holes

TL;DR

This paper explores baryon-number conservation in primordial black holes modeled as Bose-Einstein condensates, predicting formation times, remnant masses, and implications for astrophysical black holes.

Contribution

It introduces a novel Bose-Einstein condensate framework for primordial black holes and analyzes baryon-number conservation and bound state formation.

Findings

Formation time estimated between 10^{-12} and 10^{12} seconds after Big Bang

Remnant mass predicted around 3 x 10^{23} kg

Implications for astrophysical black hole formation discussed

Abstract

Primordial black holes are studied in the Bose-Einstein condensate description of space-time. The question of baryon-number conservation is investigated with emphasis on possible formation of bound states of the system's remaining captured baryons. This leads to distinct predictions for both the formation time, which for the naively natural assumptions is shown to lie between $10^{-12}\.\srm$ to $10^{12}\.\srm$ after Big Bang, as well as for the remnant's mass, yielding approximately $3 \cdot 10^{23}\.{\rm kg}$ in the same scheme. The consequences for astrophysically formed black holes are also considered.