Hawking radiation

Hawking radiation is not about entropy a black hole. It's about entropy of atom nucleus.

${\displaystyle T_{\mathrm {H} }={\frac {\hbar c^{3}}{8\pi GMk_{\mathrm {B} }}}}$

$T_{\mathrm {H} }={\frac {\rho _{h}\hbar c^{3}}{8\pi c^{2}\beta Mk_{\mathrm {B} }}}$

$T_{\mathrm {N} }={\frac {\hbar ^{2}\beta c}{8\pi Gm_{p}^{2}k_{\mathrm {B} }}}$