Mathematics and Statistics Vol. 7(5), pp. 197 - 204
DOI: 10.13189/ms.2019.070506
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Long-ranged Interaction Forces and Real Spaces Related to Them Including Anisotropic Cases

Emil V. Veitsman ^*
Veitsman’s Science Project, Russia

ABSTRACT

This paper is aimed to find a connection between i-dimensional spaces (i=0,…, ‘n') and the long-range j-dimensional attractive forces (j=0,…, ‘m') creating these spaces. The connection is fundamental and unrelated to any processes going in the spaces being studied. A theorem is formulated and strictly proved showing in which cases the long-ranged attractive forces can form real spaces of different dimensions ( i=0,…,n). The existence of the attraction between masses is defined by divergence of the vector of interaction between masses. Weak anisotropic real spaces are studied by rotating an ellipsoid for (3ζ)D-cases when its eccentricity ε<<1. Such spaces cannot be in equilibrium, the time of their existence is substantially limited. The greater is anisotropy, the shorter is the lifetime of such substance. The latter cannot be in equilibrium, the time of their existence is substantially limited.

KEYWORDS
Attractive Forces, Spaces of Different Dimensions, Real Spaces, Attraction between Masses, Divergence

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Emil V. Veitsman , "Long-ranged Interaction Forces and Real Spaces Related to Them Including Anisotropic Cases," Mathematics and Statistics, Vol. 7, No. 5, pp. 197 - 204, 2019. DOI: 10.13189/ms.2019.070506.

(b). APA Format:
Emil V. Veitsman (2019). Long-ranged Interaction Forces and Real Spaces Related to Them Including Anisotropic Cases. Mathematics and Statistics, 7(5), 197 - 204. DOI: 10.13189/ms.2019.070506.