Editing Immirzi parameter (section)

==The reality conditions==
The Immirzi parameter arises in the process of expressing a Lorentz connection with noncompact group SO(3,1) in terms of a complex connection with values in a compact group of rotations, either SO(3) or its double cover SU(2). Although named after Giorgio Immirzi,<ref>Immirzi, G. (1997). "Quantum Gravity and Regge Calculus." {{cite journal |arxiv=gr-qc/9701052|doi=10.1016/S0920-5632(97)00354-X|title=Quantum gravity and Regge calculus|year=1997|last1=Immirzi|first1=G.|journal=Nuclear Physics B - Proceedings Supplements|volume=57|issue=1–3|pages=65–72|bibcode=1997NuPhS..57...65I|s2cid=53537555}}.</ref> the possibility of including this parameter was first pointed out by  Fernando Barbero.<ref>J. Fernando Barbero G. (1995). "Real Ashtekar variables for Lorentzian signature space-times". Phys. Rev. D 51, 5507. {{cite journal |arxiv=gr-qc/9410014|doi=10.1103/PhysRevD.51.5507|title=Real Ashtekar variables for Lorentzian signature space-times|year=1995|last1=Barbero g|first1=J. Fernando|journal=Physical Review D|volume=51|issue=10|pages=5507–5510|pmid=10018309|bibcode=1995PhRvD..51.5507B|s2cid=16314220}}</ref> The significance of this parameter remained obscure until the spectrum of the [[Volume operator|area operator]] in LQG was calculated. It turns out that the area spectrum is proportional to the Immirzi parameter.