Reply to the "Comment on: Detecting Vanishing Dimensions Via Primordial Gravitational Wave Astronomy"

TL;DR

This paper refutes a misleading comment on earlier work about detecting vanishing dimensions through primordial gravitational waves, clarifying that their original claims remain unaffected and are based on a specific framework.

Contribution

The paper clarifies misunderstandings about vanishing dimensions and defends the original framework against incorrect claims in the comment.

Findings

The comment misinterprets the original work.

No self-consistent example supports the comment's claim.

Original framework remains valid and unaffected.

Abstract

The "Comment on: Detecting Vanishing Dimensions Via Primordial Gravitational Wave Astronomy" [arXiv:1104.1223] is misleading and premised on a misinterpretation of the main content of Phys. Rev. Lett. 106, 101101 (2011) [arXiv:1102.3434]. The main claim in the comment - that in some exotic theories different from general relativity (GR) there might be local degrees of freedom even in lower dimensional spaces - is trivial. Nevertheless, the authors of the Comment fail to come-up with a single self-consistent example. This claim, however, has no implications for our paper, in which we make it clear we are working within the framework of "vanishing" or "evolving" dimensions as defined in arXiv:1003.5914.