Averaging using normal distribution and its application in condensed matter mechanics

Abstract

Abstract The work offers a new method of averaging of physical values. The normal distribution of Gauss accepted as a method of averaging. The proposed method of averaging allows the introduction a new commutative ring. This ring has some useful properties. It is shown that in all physical laws where averaging exists, one should switch from ordinary multiplying to multiplying proposed by authors preserving the equations form. It is shown that the shape of the motion equation changes as a result of averaging in all physics laws for condensed matter.