11 / 12
А.А. Кириллов, Е.П. Савелова
120
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2016. № 6
DARK MATTER AS FRACTALITY EFFECT OF TOPOLOGICAL
SPACE STRUCTURE
A.A. Kirillov
ka98@mail.ruE.P. Savelova
University Dubna, Dubna, Moscow Region, Russian Federation
Bauman Moscow State Technical University, Moscow, Russian Federation
Abstract
Keywords
The current research suggests the model in which the Universe
possesses the fractal topological structure. We describe such
structure by a homogeneous gas of cosmological wormholes.
The study shows that the wormholes polarization effects in
external gravitational fields lead to the spatial dispersion and
modification of Newton's law. We interpret such modification
as the presence of dark matter. The dependence on scales is
determined by the distribution of wormholes over the distan-
ces between throat mouths. Findings of the research show that
the fractal law of the wormholes distribution gives a clear
explanation for the empirically observed distribution
of dark matter in galaxies
Fractal structure, dark matter,
wormholes, modification of gravity
REFERENCES
[1] Diemand J., Zemp M., Moore B., Stadel J., Carollo M
.
Cusps in cold dark matter haloes.
Monthly Notices of the Royal Astronomical Society
, 2005, vol. 364, no. 2, pp. 665–673.
[2] Milgrom M
.
A modification of the Newtonian dynamics as a possible alternative to the
hidden mass hypothesis.
Astrophysical Journal
, 1983, vol. 270, pp. 365–370.
[3] Penrose R
.
2010 Cycles of time: An extraordinary new view of the universe. UK, London,
Bodley Head.
[4] Knizhnik V., Polyakov A., Zamolodchikov A
.
Fractal structure of 2D quantum gravity.
Mod. Phys. Lett
.
A
, 1988, vol. 3, p. 819.
[5] Kawai H., Kawamoto N., Mogami T., Watabiki Y. Transfer matrix formalism for two-
dimensional quantum gravity and fractal structures of space-time.
Phys. Lett. B
, 1993, vol. 306,
pp. 19–26.
[6] Ambjorn J., Jurkiewicz J., Loll R. Spectral dimension of the Universe.
Phys. Rev. Lett
., 2005,
vol. 95, p. 171301.
[7] Coleman P.H., Pietronero L
.
The fractal structure of the Universe.
Phys. Rep
., 1992,
vol. 213, pp. 311–389.
[8] Kirillov A.A., Turaev D
.
Foam-like structure of the Universe.
Phys. Lett. B
, 2007, vol. 656,
pp. 1–8.
[9] Kirillov A.A., Savelova E.P., Shamshutdinova G.D
.
On the topological bias of discrete
sources in the gas of wormholes.
JETP Lett
., 2009, vol. 90, pp. 599–603.