Gravitational anomaly and fundamental forces

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 approach to explain fermion generations and gauge symmetry breaking, suggesting testable cosmological signatures.

Findings

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

Predicts an asymmetry in early universe microwave data

Favors SU(5) to SU(3)xSU(2)xU(1) symmetry breaking pattern

Abstract

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