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Phys. Rev. D 76, 121702(R) (2007) [4 pages]

Cosmotopological relation for a unified field theory

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J. J. van der Bij
Insitut für Physik, Albert-Ludwigs Universität Freiburg, H. Herderstr. 3, 79104 Freiburg i.B., Deutschland

Received 26 August 2007; published 28 December 2007

I present an argument, based on the topology of the universe, why there are three generations of fermions. The argument implies a preferred unified gauge group of SU(5), but with SO(10) representations of the fermions. The breaking pattern SU(5)→SU(3)×SU(2)×U(1) is preferred over the pattern SU(5)→SU(4)×U(1). On the basis of the argument one expects an asymmetry in the early universe microwave data, which might have been detected already.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.121702
DOI:
10.1103/PhysRevD.76.121702
PACS:
12.10.Dm, 04.20.Gz, 11.10.Gh, 11.30.Er