Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
MC-6334A
Abdulmajid Osumanu
Applied Mathematics, University of Waterloo
Time Gauge Fixing in 3d Loop Quantum Gravity
Loop quantum gravity is a non-perturbative and background independent approach to the quantization of general relativity. It predicts the discreteness of geometrical operators like the area and the volume of spacetime. In the more physical 4-dimensional case of loop quantum gravity, a time gauge is introduced to construct the Ashtekar-Barbero variables. This provides a sure way to obtain a phase space parametrized by a connection and its conjugate momentum. Mimicking this concept, a particular time gauge will be implemented in the 3-dimensional loop quantum gravity case. This will be the focus of this talk. I will look at the results obtained so far, the challenges and the way forward. In addition, the relevant issues of dynamics and kinematics of loop quantum gravity will also be presented.
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within the Office of Indigenous Relations.