# Upper bound on the energies of the emitted Hawking quanta.

@article{Hod2018UpperBO,
title={Upper bound on the energies of the emitted Hawking quanta.},
author={S. Hod},
journal={arXiv: High Energy Physics - Theory},
year={2018},
pages={184-187}
}
• S. Hod
• Published 2018
• Physics
• arXiv: High Energy Physics - Theory
• Using Thorne's hoop conjecture, it is argued that the energies of the Hawking quanta emitted from canonical Schwarzschild black holes are bounded from above by the simple quantum relation ${\cal E}<{\cal E}_{\text{max}}={\hbar^{2/3}}/M^{1/3}$. In particular, it is shown that, due to non-linear (self-gravity) effects of the tunneling quanta, higher energy field modes are re-absorbed (rather than escape to infinity) by the black hole.

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