Dr. Christian Corda,
You describe what you are showing and its relevance to steering humanity:
"Realizing a complete theory of quantum gravity, which will unify general relativity and quantum mechanics, is unanimously considered one of the most
important tasks which steers the future of science in general and of theoretical physics in particular. In fact, such a fundamental result will steer humanity towards a better understanding of the universe. A key point of this issue is to realize a definitive model of quantum BH as BHs are generally considered theoretical laboratories for ideas in quantum gravity. It is indeed an intuitive but general conviction that, in some respects, BHs are the fundamental bricks of quantum gravity in the same way that atoms are the fundamental bricks of quantum mechanics. This analogy suggests that the BH mass should have a discrete spectrum. In this Essay, we show that the such an intuitive picture is more than a picture. Considering the natural correspondence between Hawking radiation [1] and BH quasi-normal modes (QNMs) [24], we show that QNMs can be really interpreted in terms of BH quantum levels discussing a BH model somewhat similar to the semi-classical Bohr model of the structure of a hydrogen atom [5, 6]."
In the end you explain how you have accomplished your task:
"Our Bohr-like model for BHs has important implications for the BH information paradox [37]. In fact, this Essay completes our previous results [24], confirming that BH QNMs are really the BH quantum levels in our Bohr-like semi-classical approximation. This point implies that BHs are well defined quantum mechanical systems, having ordered, discrete quantum spectra, in perfect agreement with the unitarity of the underlying quantum gravity theory and with the idea that information should come out in BH evaporation. Consistence between our Bohr-like model and a recent approach to solve the BH information paradox [2528] has been recently highlighted in [27]. Thus, the general conviction that BHs result in highly excited states representing both the hydrogen atom and the quasi-thermal emission in an unitary theory of quantum gravity is in perfect agreement with our Bohr-like model."
The essay was technical, but, you patiently explained what you were doing and why you where doing it. It was a pleasure to be led along on your journey.
James Putnam