Comment on "Unruh effect for neutrinos interacting with accelerated matter"
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909913837469696 |
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| author | Oliveira, R. R. S. |
| author_facet | Oliveira, R. R. S. |
| contents | In the present comment, we show that the fundamental equation worked by Dvornikov in his paper, which is the Dirac equation for a massive neutrino interacting with linearly accelerated matter, is incorrect. In particular, Dvornikov incorrectly wrote/defined the effective external current in a curved space-time. In other words, Dvornikov wrote/defined such an effective current in a flat space-time, which is a mistake. Consequently, the second-order differential equation (generated through the quadratic Dirac equation) in your paper is incorrect, where such an equation is given by the Whittaker equation. So, since the solutions of such a differential equation (whose solutions are the Whittaker functions) are the basis for its results, it implies that such results are also incorrect. In this way, starting from the true/correct Dirac equation with an effective external current in a curved space-time, we obtain in detail the second-order differential equation (also a Whittaker equation) and its solutions for a neutrino interacting with linearly accelerated matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05403 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comment on "Unruh effect for neutrinos interacting with accelerated matter" Oliveira, R. R. S. High Energy Physics - Phenomenology In the present comment, we show that the fundamental equation worked by Dvornikov in his paper, which is the Dirac equation for a massive neutrino interacting with linearly accelerated matter, is incorrect. In particular, Dvornikov incorrectly wrote/defined the effective external current in a curved space-time. In other words, Dvornikov wrote/defined such an effective current in a flat space-time, which is a mistake. Consequently, the second-order differential equation (generated through the quadratic Dirac equation) in your paper is incorrect, where such an equation is given by the Whittaker equation. So, since the solutions of such a differential equation (whose solutions are the Whittaker functions) are the basis for its results, it implies that such results are also incorrect. In this way, starting from the true/correct Dirac equation with an effective external current in a curved space-time, we obtain in detail the second-order differential equation (also a Whittaker equation) and its solutions for a neutrino interacting with linearly accelerated matter. |
| title | Comment on "Unruh effect for neutrinos interacting with accelerated matter" |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2510.05403 |