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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.01198 |
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| _version_ | 1866914232874827776 |
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| author | Varadarajan, Madhavan |
| author_facet | Varadarajan, Madhavan |
| contents | We show how quantum discreteness of spatial area is consistent with a unitary implementation of Lorentz boosts in an LQG type quantization of a diffeomorphism invariant reformulation of free scalar field theory on 2d flat spacetime known as Parameterized Field Theory (PFT). This consistency is a result of Hilbert space non-separability which is a characteristic feature of LQG representations. Our results suggest a possible interpretation of Hilbert space non-separability in terms of observer perspectives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_01198 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Area discreteness, Lorentz covariance and Hilbert space non-separability Varadarajan, Madhavan General Relativity and Quantum Cosmology We show how quantum discreteness of spatial area is consistent with a unitary implementation of Lorentz boosts in an LQG type quantization of a diffeomorphism invariant reformulation of free scalar field theory on 2d flat spacetime known as Parameterized Field Theory (PFT). This consistency is a result of Hilbert space non-separability which is a characteristic feature of LQG representations. Our results suggest a possible interpretation of Hilbert space non-separability in terms of observer perspectives. |
| title | Area discreteness, Lorentz covariance and Hilbert space non-separability |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2601.01198 |