Miroslaw,
I certainly feel your essay is not just valuable but invaluable, and at many levels. I was intrigued by the coincidental relation of Avogadro's constant, as an astronomer particularly from the astrophysical viewpoint. I believe there is also a fundamental role and application of the fine structure constant in the area of gauges and the condensation of conjugate fermion pairs. I'm less familiar with Avogadro's constant but intuitively feel a key role, but can't yet see it.
I have however 'seen' a few other things beyond the current paradigms and would be very grateful if you'd check over this preprint to see if you can find connectivity with your own findings. //www.academia.edu/6655261/A_CYCLIC_MODEL_OF_GALAXY_EVOLUTION_WITH_BARS.
But I hope first as a physicist you'll read my essay's geometrical reproduction of the QM predictions using entirely classical mechanics. The 'classroom experiment at the end has been reproduced. Of course the model will not even be countenanced by any within quantum physics for the usual reasons! It seems it's escaping from belief led science that may allow us to make use of your own valuable work and exploit the HZ. I expect the reaction to 'changing natures constants' will be to send in the men in white coats who'll then visit me!
But for now you have a top score from me at least. I hope you may feel the same of mine (with it's added allegorical angle) before scoring finishes later this week. I also look forward to your comments on that and the above paper.
Very best wishes
Peter