Kinematical Hilbert Space

Sundance Bilson-Thompson ()
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Sundance Bilson-Thompson: University of Adelaide, School of Physics, Chemistry and Earth Sciences

Chapter Chapter 6 in Loop Quantum Gravity for the Bewildered, 2024, pp 69-89 from Springer

Abstract: Abstract This chapter covers the conceptual structure of spacetime in terms of loop states, as well as the formulation of operators which extract physical observables from these states. A toy model is introduced which illustrates how space may be subdivided into discrete units. This model motivates a dual representation of discrete space in terms of graphs with labelled edges. The model is extended and connected to Penrose’s conception of spin networks, leading to a description of spacetime as a graph labelled with spin representations. The use of these labels to define area and volume operators is then described.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-43452-5_6

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DOI: 10.1007/978-3-031-43452-5_6

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