MG13 - Talk detail |
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Participant |
Duston, Christopher | |||||||
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Institution |
Florida State University - 315 Keen Building - Tallahassee - FL - USA | |||||||
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Session |
QG1 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Topspin Networks and Loop Quantum Gravity | |||||
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Abstract |
We discuss the extension of loop quantum gravity to topspin networks, a proposal which allows topological information to be encoded in spin networks. This requires minimal changes to the phase space, C*-algebra and Hilbert space of cylindrical functions. We study the action of the area and Hamiltonian operators, and determine how they depend on the topology. This extends the idea of "background independence" in loop quantum gravity to include topology as well as geometry. It is hoped this work will confirm the usefulness of the topspin network formalism and open up several new avenues for research into quantum gravity. |
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