Reply to W. T. Kranz on "Explicit analytical solution for random close packing in $d=2$ and $d=3$"
A. Zaccone
TL;DR
This paper refutes W. T. Kranz's recent comment by identifying a critical mathematical error that invalidates his conclusions about explicit solutions for random close packing in two and three dimensions.
Contribution
It clarifies the mathematical inaccuracies in Kranz's comment, reaffirming the validity of previous solutions for random close packing.
Findings
Kranz's conclusions are invalid due to a mathematical error
Previous solutions for random close packing remain valid
The paper corrects the misconception caused by the error
Abstract
A recent Comment by W. T. Kranz is shown to be plagued by a serious mathematical error which makes its conclusions invalid.
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Taxonomy
TopicsMathematical Approximation and Integration · Bayesian Methods and Mixture Models · Point processes and geometric inequalities