Fermion condensate at the event horizon
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916031139676160 |
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| author | Dzhunushaliev, Vladimir Folomeev, Vladimir |
| author_facet | Dzhunushaliev, Vladimir Folomeev, Vladimir |
| contents | Some arguments are considered in favor of the idea that the canonical anticommutation relations for fermions should be modified in curved spacetime near the event horizon of a black hole. Such a modification is expected to lead to a change in the source term of the inhomogeneous Dirac equation describing the two-point Green's function. By introducing an {\it ad hoc} source into the Dirac equation that mimics the modification of these anticommutation relations, stationary solutions are obtained and interpreted as two-point Green's functions of fermions located near the event horizon. Owing to their stationarity, these Green's functions describe a fermion condensate near the event horizon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21064 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fermion condensate at the event horizon Dzhunushaliev, Vladimir Folomeev, Vladimir General Relativity and Quantum Cosmology Some arguments are considered in favor of the idea that the canonical anticommutation relations for fermions should be modified in curved spacetime near the event horizon of a black hole. Such a modification is expected to lead to a change in the source term of the inhomogeneous Dirac equation describing the two-point Green's function. By introducing an {\it ad hoc} source into the Dirac equation that mimics the modification of these anticommutation relations, stationary solutions are obtained and interpreted as two-point Green's functions of fermions located near the event horizon. Owing to their stationarity, these Green's functions describe a fermion condensate near the event horizon. |
| title | Fermion condensate at the event horizon |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.21064 |