Gravitational Holonomy in Sagnac Interferometry
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908792105467904 |
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| author | Javadinezhad, Reza Seraj, Ali |
| author_facet | Javadinezhad, Reza Seraj, Ali |
| contents | We analyze the influence of gravitational waves on a Sagnac interferometer formed by the interference of two counter-propagating beams traversing a closed spatial loop. In addition to the well-known Sagnac phase shift, we identify an additional contribution originating from a relative rotation in the polarization vectors. We formulate this effect as a gravitational holonomy associated to the internal Lorentz group. The magnitude of both effects is computed due to gravitational waves generated by a localized source far from the detector, at leading order in the inverse distance. For freely falling observers, the phase shift is zero and the polarization rotation becomes the dominant effect. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_24429 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gravitational Holonomy in Sagnac Interferometry Javadinezhad, Reza Seraj, Ali General Relativity and Quantum Cosmology High Energy Physics - Theory We analyze the influence of gravitational waves on a Sagnac interferometer formed by the interference of two counter-propagating beams traversing a closed spatial loop. In addition to the well-known Sagnac phase shift, we identify an additional contribution originating from a relative rotation in the polarization vectors. We formulate this effect as a gravitational holonomy associated to the internal Lorentz group. The magnitude of both effects is computed due to gravitational waves generated by a localized source far from the detector, at leading order in the inverse distance. For freely falling observers, the phase shift is zero and the polarization rotation becomes the dominant effect. |
| title | Gravitational Holonomy in Sagnac Interferometry |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.24429 |