A model of classical thermodynamics based on the partition theory of integers, Earth gravitation, and semiclassical asymptotics. I
The author proposes a new construction of the theory of partitions of integers. A notion of entropy is defined as the natural logarithm of the number of partitions of a number \(M\) into natural summands with repetitions allowed \(p(M)\) and repetitions forbidden \(q(M)\). The passage from \(\ln p(M)\) to \(\ln q(M)\) through the mesoscopic values \(M\to 0\) is investigated. The author analyzes a role of quantum mechanics in establishing the new world outlook in physics. Moreover, it stressed that Niels Bohr's liquid model of the nucleus does not involve any interaction of particles in the form of attraction and is based on the presence of a common potential trough for all elements of the nucleus. A new approach to thermodynamics is proposed by means of quantum mechanics and the Earth's gravitational attraction as a common potential trough.
scientific article; zbMATH DE number 6822605
scientific article