THE PROBLEM OF A PRIMORDIAL BLACK-HOLE HYDROGENLIKE ATOM

It is shown that the recently proposed system composed of an electron and a primordial black hole forming a hydrogenlike atomic system canno t be stable, because the radiation pressure acting on the electron fro m Hawking radiation of the black hole far exceeds the binding force. O n the contrary, if the black hole has a zero Hawking temperature, eith er due to its charge or spin, the required values of these parameters are so large that the electron would still not be stably bound to the black hole. However, if the black hole has a magnetic moment due to it s spin, then electrons passing by the black hole could have spin-flip transitions producing high-energy gamma rays of approximately 10(14) e V - 10(15) eV.