Earth's extensive entropy bound

TL;DR

This paper explores the theoretical possibility that planets like Earth could produce black holes by crossing entropy limits, linking geophysical entropy flux with entropy bounds and discussing implications for astronomy and Fermi's paradox.

Contribution

It proposes a novel connection between Earth's entropy flux and an extensive entropy bound, suggesting a potential mechanism for planetary black hole formation.

Findings

Earth's negative entropy flux is comparable to its entropy bound.

Planetary black hole formation may occur via thermodynamic fluctuations.

Implications for observing low mass black holes and Fermi's paradox are discussed.

Abstract

The possibility of planetary mass black hole production by crossing entropy limits is addressed. Such a possibility is given by pointing out that two geophysical quantities have comparable values: first, Earth's total negative entropy flux integrated over geological time and, second, its extensive entropy bound, which follows as a tighter bound to the Bekenstein limit when entropy is an extensive function. The similarity between both numbers suggests that the formation of black holes from planets may be possible through a strong fluctuation toward thermodynamic equilibrium which results in gravothermal instability and final collapse. Briefly discussed are implications for the astronomical observation of low mass black holes and for Fermi's paradox.