Discreteness of area and volume in quantum gravity
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Publication:1890677
DOI10.1016/0550-3213(95)00150-QzbMath0925.83013arXivgr-qc/9411005OpenAlexW2104041846MaRDI QIDQ1890677
Publication date: 21 May 1995
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/gr-qc/9411005
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A generally covariant quantum field theory and a prediction on quantum measurements of geometry
- Ashtekar formulation of general relativity and loop-space nonperturbative quantum gravity: a report
- Spatial infinity as a boundary of spacetime
- Weaving a classical metric with quantum threads
- Knot invariants as nondegenerate quantum geometries
- Extended loops: A new arena for nonperturbative quantum gravity
- The physical Hamiltonian in nonperturbative quantum gravity
- Fermions in quantum gravity
- Hermitian operators on quantum general relativity loop space
- Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories