Gravity limits the kinetic energy of a massive elementary particle
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916102951403520 |
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| author | Feng, Justin C. |
| author_facet | Feng, Justin C. |
| contents | In this note, I argue that tidal effects generically limit the kinetic energy of a single massive elementary particle in the vicinity of a compact object. As the kinetic energy is increased, the differences in the tidal potential over a Compton wavelength will at some point exceed the rest mass of the particle. Above the threshold, one expects tidal effects to disrupt single-particle states, and in turn, one might expect an incident particle scattering off a compact object with an energy significantly exceeding the threshold to result in a shower of lower energy particles. A calculation reveals that the threshold for neutrinos scattering off a $10 M_\odot$ black hole within three Schwarzschild radii is roughly $1~\text{GeV}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_05764 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gravity limits the kinetic energy of a massive elementary particle Feng, Justin C. General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Phenomenology 83B05, 83C57 In this note, I argue that tidal effects generically limit the kinetic energy of a single massive elementary particle in the vicinity of a compact object. As the kinetic energy is increased, the differences in the tidal potential over a Compton wavelength will at some point exceed the rest mass of the particle. Above the threshold, one expects tidal effects to disrupt single-particle states, and in turn, one might expect an incident particle scattering off a compact object with an energy significantly exceeding the threshold to result in a shower of lower energy particles. A calculation reveals that the threshold for neutrinos scattering off a $10 M_\odot$ black hole within three Schwarzschild radii is roughly $1~\text{GeV}$. |
| title | Gravity limits the kinetic energy of a massive elementary particle |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Phenomenology 83B05, 83C57 |
| url | https://arxiv.org/abs/2401.05764 |