Reply to R. Blumenfeld on "Explicit analytical solution for random close packing in $d=2$ and $d=3$"

TL;DR

This paper refutes a comment by Blumenfeld, demonstrating that his critique of the authors' analytical solution for random close packing density contains significant errors and inaccuracies.

Contribution

The authors clarify and defend their analytical solution against Blumenfeld's critique, correcting misconceptions and errors in his comments.

Findings

Blumenfeld's critique contains significant errors.

The authors' original analytical solution remains valid.

Misstatements in Blumenfeld's comment are corrected.

Abstract

A Comment by R. Blumenfeld on our recent analytical solution for the random close packing density [A. Zaccone, Phys. Rev. Lett. 128, 028002 (2022)] is shown to be plagued by important errors and to contain incorrect statements.