A class of entangled and diffeomorphism-invariant states in loop quantum gravity: Bell-network states
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914447258288128 |
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| author | Baytaş, Bekir |
| author_facet | Baytaş, Bekir |
| contents | Bell-network states constitute a class of diffeomorphism-invariant and entangled states of the geometry within loop quantum gravity (LQG) that satisfy an area-law for the entanglement entropy in the limit of large spins. The fluctuations of the geometry for a Bell-network state are entangled, similar to those in the semiclassical limit as described by quantum field theory in curved spacetimes. We present a comprehensive analysis of the effective geometry of Bell-network states on a dipole graph. This analysis provides a detailed characterization of the quantum geometry of a class of diffeomorphism-invariant, area-law states representing homogeneous and isotropic configurations in loop quantum gravity, which may be explored as boundary states for the dynamics of the theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21145 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of entangled and diffeomorphism-invariant states in loop quantum gravity: Bell-network states Baytaş, Bekir General Relativity and Quantum Cosmology Bell-network states constitute a class of diffeomorphism-invariant and entangled states of the geometry within loop quantum gravity (LQG) that satisfy an area-law for the entanglement entropy in the limit of large spins. The fluctuations of the geometry for a Bell-network state are entangled, similar to those in the semiclassical limit as described by quantum field theory in curved spacetimes. We present a comprehensive analysis of the effective geometry of Bell-network states on a dipole graph. This analysis provides a detailed characterization of the quantum geometry of a class of diffeomorphism-invariant, area-law states representing homogeneous and isotropic configurations in loop quantum gravity, which may be explored as boundary states for the dynamics of the theory. |
| title | A class of entangled and diffeomorphism-invariant states in loop quantum gravity: Bell-network states |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.21145 |