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, the possibility of including this parameter was first pointed out by Fernando Barbero. The significance of this parameter remained obscure until the spectrum of the area operator in LQG was calculated. It turns out that the area spectrum is proportional to the Immirzi parameter.
Read more about this topic: Immirzi Parameter
Famous quotes containing the words reality and/or conditions:
“What is a novel if not a conviction of our fellow-mens existence strong enough to take upon itself a form of imagined life clearer than reality and whose accumulated verisimilitude of selected episodes puts to shame the pride of documentary history?”
—Joseph Conrad (18571924)
“There is no society known where a more or less developed criminality is not found under different forms. No people exists whose morality is not daily infringed upon. We must therefore call crime necessary and declare that it cannot be non-existent, that the fundamental conditions of social organization, as they are understood, logically imply it.”
—Emile Durkheim (18581917)