  We discuss a Modified Field theory (MOFT) in which the number of fields can
vary. It is shown that in MOFT fermions obey the so-called parastatistics in
which the order of the parastatistics depends on scales. In particular, at very
large distances $r>r_{\min}$ fermions violate the Pauli principle. It is also
shown that in MOFT in some range of scales $r_{\max}>r>r_{\min}$ the Universe
acquires features of a two-dimensional space whose distribution in the observed
3-dimensional volume has an irregular character. This provides a natural
explanation to the observed fractal distribution of galaxies and the
logarithmic behavior of the Newton's potential for a point source.
