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===In loop quantum gravity=== A detailed study of the quantum geometry of a black hole [[event horizon]] has been made using [[loop quantum gravity]].<ref name="url[2001.08833] Black Hole evaporation: A Perspective from Loop Quantum Gravity">{{cite journal |title=Black Hole Evaporation: A Perspective from Loop Quantum Gravity |year=2020 |doi=10.3390/universe6020021 |arxiv=2001.08833 |last1=Ashtekar |first1=Abhay |journal=Universe |volume=6 |issue=2 |page=21 |bibcode=2020Univ....6...21A |doi-access=free }}</ref><ref>{{Cite journal | doi = 10.1103/PhysRevLett.80.904 | last1 = Ashtekar | first1 = Abhay | last2 = Baez | first2 = John Carlos | last3 = Corichi | first3 = Alejandro | last4 = Krasnov | first4 = Kirill | title = Quantum Geometry and Black Hole Entropy | bibcode=1998PhRvL..80..904A | volume=80 | issue = 5 | journal=[[Physical Review Letters]]| pages=904–907|arxiv = gr-qc/9710007 | year = 1998 | s2cid = 18980849 }}</ref> Loop-quantization does not reproduce the result for [[black hole entropy]] originally discovered by [[Jacob Bekenstein|Bekenstein]] and [[Stephen Hawking|Hawking]], unless the value of [[Immirzi parameter|a free parameter]] is set to cancel out various constants such that the Bekenstein–Hawking entropy formula is reproduced. However, [[quantum gravity|quantum gravitational]] corrections to the entropy and radiation of black holes have been computed based on the theory. Based on the fluctuations of the horizon area, a quantum black hole exhibits deviations from the Hawking radiation spectrum that would be observable were [[X-ray]]s from Hawking radiation of evaporating [[primordial black holes]] to be observed.<ref>{{Cite journal | doi = 10.1016/j.nuclphysb.2007.01.009 | last1 = Ansari | first1 = Mohammad H. | title = Spectroscopy of a canonically quantized horizon | bibcode=2007NuPhB.783..179A | volume=783 | issue = 3 | journal=[[Nuclear Physics B]]| pages=179–212|arxiv = hep-th/0607081 | year = 2007 | s2cid = 9966483 }}</ref> The quantum effects are centered at a set of discrete and unblended frequencies highly pronounced on top of the Hawking spectrum.<ref>{{Cite journal | doi = 10.1016/j.nuclphysb.2007.11.038 | last1 = Ansari | first1 = Mohammad H. | title = Generic degeneracy and entropy in loop quantum gravity | bibcode=2008NuPhB.795..635A | volume=795 | issue = 3 | journal=[[Nuclear Physics B]]| pages=635–644|arxiv = gr-qc/0603121 | year = 2008 | s2cid = 119039723 }}</ref>
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