Loop quantum gravity is a background-independent approach to the quantization of general relativity. The fundamental states of the theory are described by spin networks, states associated with graphs whose quantum numbers give the spectra of discrete and non-commuting geometric operators. On a fixed graph, the quantum numbers can be interpreted as a collection of fuzzy polyhedra describing a twisted geometry. The maths describing the twisted geometry uses an amusing interplay of symplectic geometry, group theory and Regge geometry which I will describe in some details. There is also a connection to twistors that I will briefly discuss.
De Jan Ambjorn
De Jan Ambjorn
De Jan Ambjorn
De Jan Ambjorn
De Robert de Mello Koch
De Robert de Mello Koch
De Sanjaye Ramgoolam
De Sanjaye Ramgoolam
De Sanjaye Ramgoolam
De Sanjaye Ramgoolam
De Razvan Gurau
De Razvan Gurau
De Razvan Gurau
De Razvan Gurau
De François David
De Albert Schwarz
De Claudio Dappiaggi
De Alexander Strohmaier
