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arXiv · astro-ph/0211162

Violation of the Pauli principle and dimension of the Universe at very large distances

A. A. Kirillov
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Abstract

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.

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A. A. Kirillov. 2003-01-22. Violation of the Pauli principle and dimension of the Universe at very large distances. https://doi.org/10.1016/s0370-2693(03)00013-3

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