Differentiating unparticles from extra dimensions via mini black hole thermodynamics

TL;DR

This paper proposes a method to distinguish between black holes formed via extra dimensions and unparticle-enhanced gravity at the LHC by analyzing their Hawking temperature spectra, which depend differently on the underlying physics.

Contribution

It introduces a novel approach using black hole thermodynamics to differentiate unparticle effects from extra dimensions in collider experiments.

Findings

Mass-dependent Hawking temperature profiles vary with the underlying mechanism.

Reconstruction of temperature spectra can conclusively identify the creation mechanism.

Unparticle effects can mimic extra dimensions but have distinguishable thermodynamic signatures.

Abstract

A simple method for differentiating two similar accelerator-based black hole creation mechanisms -- compactified extra dimensions and unparticle-enhanced gravity -- is discussed, in light of several properties of black hole thermodynamics. The real-valued scaling dimension $\du$ will induce interactions that mimic those in a universe with $(2\du-2)$-extra spatial dimensions, and thus provides an alternative mechanism for black hole creation at the LHC within the confines of standard 4D general relativity. This results in mass-dependent Hawking temperature profiles that depend primarily on $\du$, yielding an evaporation signature unique to the framework. Specifically, a precision reconstruction of the Hawking temperature spectrum morphology for black holes of mass $\Mbh$ yields conclusive evidence of one mechanism over the other, due to the presence of additional adjustable parameters in the unparticle sector.