On some advances in physics and astronomy over the past three years

In 1999 the author published a paper What problems of physics and astrophysics seem now to be especially important and interesting (thirty years later, already on the verge of XXI century? [1]. By its very nature and intention, the content of this paper should be modified on a continuous basis to keep up with advances in science. In the last three years important results of a fundamental nature have been obtained which the author finds appropriate to summarize briefly in this article - not least because of the great readers' interest generated by Ref. [1].