# 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} }

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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