The Action Principle and Evolution

From general physics direction a-biotic entities evolution is well known, and at present it is beyond any discussion. But at the same time, the development triggers are totally mysterious on the matter by which the evolution is recorded and evaluated. Despite principle of the least actions, as the most general tenet, has been discovered almost three hundred years ago. However, its properties and features still remain unexamined adequately on space-time macro, micro and ordinary scales. Taken separately the evolution term still is not validated strictly in biology and physics. The evolution as extreme, irreversible and accumulative process is completely unknown in mathematics too. Particularly, hierarchic, excessive fragmentations of subjective function or functional and forming adequate restrictions are not so familiar for/in the mathematics. These issues had been axial for long time for the author, and he strives patiently and surely to evaluate and argue them in his published works.