D.D.Ivanenko, P.N.Antonyuk, R.V.Galiulin

CRYSTAL-TYPE MODEL OF THE UNIVERSE

(First breef publication: Astronomical Circulare, 1992, N 1553,p.1-2)

1. The Universe as the discrete little-ordered system of objects

2. Absolutely ordered discrete system - an ideal crystal

3. Chaotic discrete system - an ideal gas

4. Another discrete matter states are intermediate

5. Delaunay systems as the models of discrete matter states

6. Axiomatic of Delaunay systems

(R.V.Galiulin, Crystallography,1980,V.25,P.901-907)

7. The ratio r/R as characteristic for ordered of the system

(For the Galaxies distribution r/R = 27/26,

J.Burns, Scientific American, 1986, V.255, N1)

8. Regular Delaunay systems. Space Groups

(R.V.Galiulin, Priroda,1991,N12,p.20-36)

9. Local-Euclidean manifolds as fundamental regions of Space Groups

10. Local determination of regular systems (B.N.Delaunay,N.P.Dol-

bilin,M.I.Shtogrin,R.V.Galiulin, DAN SSSR,1976,V.227,p.19-21)

11. Atom identity law as consequence of regularity (Neuter's theorem)

12. Regular systems determinism and long-order

13. Penrose-like quasicrystals theory and its inconsistency

14. Space Groups in constant curvature spaces

15. Fullerenes as regular systems of spherical space

16. Densests ball packings in Lobachevsky space

(P.N.Antonyuk,R.V.Galiulin,V.S.Macarov,Priroda,1993,N7,p.28-31)

17. Ideal crystal in elliptic Riemannian space

(S.V.Rudnev, Comput.Math.Applic. 1988,Vol.16, N 5-8, pp.597-616)

18. Local-Regular Delaunay systems. Shtogrin theorem

19. THE GAP BETWEEN AN IDEAL CRYSTAL AND IDEAL GAS IS VERY SMALL

20. Riemannian space with non-constant curvature saves us from

a total crystallisation

21. Fractal model of the Universe

..