Editing Immirzi parameter (section)

==Immirzi parameter in spin foam theory==
In late 2006, independent from the definition of [[isolated horizon]] theory, [[Mohammad H. Ansari|Ansari]] reported that in [[loop quantum gravity]] the eigenvalues of the [[Volume operator|area operator]] are symmetric by the [[ladder symmetry]].<ref name="Ansari2007">{{cite journal |last=Ansari |first=Mohammad H. |date=2007 |title=Spectroscopy of a canonically quantized horizon |journal=[[Nuclear Physics B]] |volume=783 |issue=3 |pages=179&ndash;212 |doi=10.1016/j.nuclphysb.2007.01.009 |arxiv=hep-th/0607081|bibcode = 2007NuPhB.783..179A |s2cid=9966483 }}</ref> Corresponding to each eigenvalue there are a finite number of degenerate states.<ref name="Ansari2008">{{cite journal |last=Ansari |first=Mohammad H. |date=2008 |title=Generic degeneracy and entropy in loop quantum gravity |journal=Nuclear Physics B |volume=795 |issue=3 |pages=635&ndash;644 |doi=10.1016/j.nuclphysb.2007.11.038 |arxiv=gr-qc/0603121|bibcode = 2008NuPhB.795..635A |s2cid=119039723 }}</ref> One application could be if the classical null character of a horizon is disregarded in the quantum sector, in the lack of energy condition and presence of gravitational propagation the Immirzi parameter tunes to:

:<math>\ln(3) / \sqrt{8} \pi, </math>

by the use of [[Olaf Dreyer]]'s conjecture for identifying the evaporation of minimal area cell with the corresponding area of the highly damping quanta. This proposes a kinematical picture for defining a quantum horizon via [[spin foam]] models, however the dynamics of such a model has not yet been studied.