The Fine Structure Constant and Hawking Radiation

Theory of quantum gravity is still a mystery, as well as the derivation of fine structure constant and masses of elementary particles. (Fine structure constant is calculated from force between two elementary charges.) Possibility that elementary particles are black holes is offering itself intuitively, but nobody know how to prove this mathematically. I propose possibility that the fine structure constant can be calculated from Hawking radiation: A force acts between two black holes. Force acts because of Hawking photons which directly hit another black hole and because of the photons which deflect on this black hole. The first force is independent on gravitational constant and on masses of both black holes and it is inversely proportional with the square of mutual distance. The first force is only 52 times smaller than the force between two elementary charges. The second force is not inversely proportional with square of mutual distance, therefore it is not similar with force between two elementary charges. But it is possible that deeper use of quantum gravity (still unknown) could give that this force is similar with the force between two elementary charges. If further calculation will prove that total force is very close to force between two elementary charges, this is almost proof, that Hawking radiation is key to the fine structure constant. Hypotheses of quantum gravity can rarely be verified with numbers and hypothesis above is a such one.