Reply to "Comment on 'Insensitivity of Hawking radiation to an invariant Planck-scale cutoff' "
Ivan Agullo, Jose Navarro-Salas, Gonzalo J. Olmo, Leonard Parker

TL;DR
This paper clarifies the relationship between previous critiques and our brief report on the insensitivity of Hawking radiation to Planck-scale cutoffs, addressing misunderstandings or disagreements in the field.
Contribution
It provides a detailed clarification of the differing conclusions regarding the robustness of Hawking radiation against Planck-scale modifications.
Findings
Clarifies the relationship between previous comment and our report
Addresses misunderstandings about Hawking radiation's insensitivity
Reinforces the robustness of Hawking radiation against Planck-scale effects
Abstract
We clarify the relationship between the conclusions of the previous Comment of A. Helfer [1] and that of our Brief Report [arXiv:0906.5315]
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