Hi Judy,
Thanks for your kind words and for your high rating which honour my work.
Concerning the points you raise:
i) Bohr's atomic model, introduced by N. Bohr in 1913, describes the atom in terms of a small and positively charged nucleus surrounded by negatively charged electrons travelling in circular orbits around the nucleus. Thus, it is similar in structure to the solar system. Bohr's model obeys to three laws: 1) Electrons orbit the nucleus. 2) Electrons' orbits are stable and electrons cannot radiate (in contrast with classical electromagnetics) in such "stationary orbits". These orbits correspond to definite energies and are also called "energy shells" or "energy levels" in quantum terms. 3) Electrons can only gain and lose energy when they jump from one allowed energy level to another. In that case, they absorb or emit electromagnetic radiation and the frequency of the emission/absorption is determined by the energy difference of the levels according to the Planck relation. In my model the "electrons" are the black hole quasi-normal modes, interpreted in terms of particles quantized in circumferences, and the emitted particles are Hawking quanta. The first and second laws are completely satisfied.The third is partially satisfied in the sense that again quasi-normal modes can only gain and lose energy when they jump from one allowed energy level to another, but in this model the frequency of the emission/absorption is determined by the energy difference of the levels according to eq. (11) in my Essay.
ii) Concerning reverting a little less to mathematics,I founded this Essay on a more technical research paper published in C. Corda, "Black hole quantum spectrum", Eur. Phys. J. C 73, 2665 (2013). Here I tried to simplify the discussion and I tried to use the end notes for giving my results in more simple terms. My computations in the Essay should be at the level of a course of quantum mechanics in a University. In any case, I will try to further reduce mathematical formalism in my next works in future Contests.
Thanks again, I am going to read, comment and rate your Essay in next days. also wish you best luck in the Contest.
Cheers,
Ch.