The nuclear matter and charge radii of the helium isotopes (A=4,6,8) are calculated by quantitative geometrical thermodynamics (QGT) taking as input symmetry alpha-particle, very weak binding (and hence halo nature) heavier isotopes, a characteristic length scale given proton size. results follow considering each isotope in its ground state, with QGT representing system maximum entropy configur...

It is shown that physical fields are formed by physical structures, which in their properties are differential-geometrical structures. These results have been obtained due to using the mathematical apparatus of skew-symmetric differential forms. This apparatus discloses the controlling role of the conservation laws in evolutionary processes, which proceed in material media and lead to originati...

In the paper the main attention is paid to conditions on algebras from a given variety Θ which provide coincidence of their algebraic geometries. The main part here play the notions mentioned in the title of the paper.

presence of joints and fractures in rocks strongly influences the behavior of the rock mass by dividing the media into smaller units. these structures intensify the potential instability besides the development of sliding and rotational movements. the assumption of discontinuum media changes the whole analysis conditions in relation to the continuum analysis. acquisition of geometrical and stru...