A cosmotopological relation for a unified field theory

TL;DR

This paper proposes a topological argument linking the universe's topology to the existence of three fermion generations, favoring a specific gauge group and symmetry breaking pattern, with potential observable cosmological implications.

Contribution

It introduces a novel topological perspective explaining fermion generations and gauge symmetry breaking in a unified field theory context.

Findings

Supports SU(5) as the unified gauge group with SO(10) fermion representations

Predicts an asymmetry in microwave data related to universe topology

Suggests the preferred symmetry breaking pattern $SU(5) o SU(3) imes SU(2) imes U(1)$

Abstract

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 $SU(5) \to SU(3) \times SU(2) \times U(1)$ is preferred over the pattern $SU(5) \to SU(4) \times U(1)$. On the basis of the argument one expects an asymmetry in the microwave data, which might have been detected already.