We perform numerical simulations of the dynamical equations for free water surface in finite basin in presence of gravity. Wave Turbulence (WT) is a theory derived for describing statistics of weakly nonlinear waves in the infinite basin limit. Its formal applicability condition on the minimal size of the computational basin is impossible to satisfy in present numerical simulations, and the num...

We perform numerical simulations of the dynamical equations for free water surface in finite basin in presence of gravity. Wave Turbulence (WT) is a theory derived for describing statistics of weakly nonlinear waves in the infinite basin limit. Its formal applicability condition on the minimal size of the computational basin is impossible to satisfy in present numerical simulations, and the num...

With the gradual increase of coal mining intensity, many pillars need to be left near stope. The stability composite structure and their overlying strata determines safety whole stope surface. This paper conducts uniaxial compression tests on coal-rock structures with same lithology height ratio finds structure’s mechanical properties failure characteristics have greater discreteness. Combining...

The discreteness problem, that is, the problem of determining whether or not a given finitely generated group G of orientation preserving isometries of hyperbolic three-space, H is discrete as a subgroup of the whole isometry group Isom(H), is a challenging problem that has been investigated for more than a century and is still open. It is known that G is discrete if, and only if, every non-ele...

Abstract Various approaches to Quantum Gravity suggest an existence of a minimal measurable length. The cost have such length could be modified uncertainty principle, dispersion relation, non-commutative geometry or breaking continuous Lorentz symmetry. In this paper, we propose that can obtained naturally through spin–orbit interaction. We consider Dresselhaus anisotropic interaction as the pe...

Time at the Planck scale (∼10−44s) is an unexplored physical regime. It widely believed th...