Comment on "Explicit Analytical Solution for Random Close Packing in $d=2$ and $d=3$"

TL;DR

This paper critiques a recent derivation of random close packing density, identifying a flaw that invalidates the original analytical solution and emphasizing the importance of correct mathematical treatment in packing problems.

Contribution

It provides a critical analysis of Zaccone's 2022 derivation, pointing out a specific flaw that affects the validity of the results.

Findings

Identified a flaw in Zaccone's derivation.

Showed the divergence was spurious and invalid.

Concluded the original solution is not valid.

Abstract

I comment on Zaccone, Phys. Rev. Lett. {\bf 128}, 028002 (2022) highlighting a flaw in the derivation that led to a spurious divergent factor. This renders the derivation of the random close packing density invalid.