The Gravitational Spectral Radio Forest: A Signature of Primordial Black Holes
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| Format: | Preprint |
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2026
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| _version_ | 1866916008634089472 |
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| author | Christopher, P. George Hari, K. Shankaranarayanan, S. |
| author_facet | Christopher, P. George Hari, K. Shankaranarayanan, S. |
| contents | We propose a novel gravitational signature to detect Primordial Black Hole (PBH) dark matter by treating interstellar hydrogen as a quantum sensor for spacetime curvature. Focusing on H II regions, we demonstrate that the Riemann tidal tensor of an \emph{asteroid-mass} PBH induces a symmetric splitting of the $2P_{3/2}$ state in bound hydrogen atoms. This relativistic effect redistributes $9.9\,\mathrm{GHz}$ absorption line into a gravitational spectral radio forest with a bandwidth $\sim 2\,\mathrm{GHz}$. By accounting for active accretion of Hydrogen atoms and the resulting density-squared emission measure within the Bondi radius, we find a relatively enhanced absorption spectrum. This feature presents a concrete, high-contrast target for upcoming radio-surveys to constrain PBH populations in the dark matter sector. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_13042 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Gravitational Spectral Radio Forest: A Signature of Primordial Black Holes Christopher, P. George Hari, K. Shankaranarayanan, S. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Astrophysics of Galaxies High Energy Physics - Theory Atomic and Molecular Clusters We propose a novel gravitational signature to detect Primordial Black Hole (PBH) dark matter by treating interstellar hydrogen as a quantum sensor for spacetime curvature. Focusing on H II regions, we demonstrate that the Riemann tidal tensor of an \emph{asteroid-mass} PBH induces a symmetric splitting of the $2P_{3/2}$ state in bound hydrogen atoms. This relativistic effect redistributes $9.9\,\mathrm{GHz}$ absorption line into a gravitational spectral radio forest with a bandwidth $\sim 2\,\mathrm{GHz}$. By accounting for active accretion of Hydrogen atoms and the resulting density-squared emission measure within the Bondi radius, we find a relatively enhanced absorption spectrum. This feature presents a concrete, high-contrast target for upcoming radio-surveys to constrain PBH populations in the dark matter sector. |
| title | The Gravitational Spectral Radio Forest: A Signature of Primordial Black Holes |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Astrophysics of Galaxies High Energy Physics - Theory Atomic and Molecular Clusters |
| url | https://arxiv.org/abs/2605.13042 |