Introduction of the G$_2$-Ricci Flow: Geometric Implications for Spontaneous Symmetry Breaking and Gauge Boson Masses

Richard Pinčák; Alexander Pigazzini; Michal Pudlák; Erik Bartoš

doi:10.1016/j.nuclphysb.2025.116959

paper

Introduction of the G $_{2}$ -Ricci Flow: Geometric Implications for Spontaneous Symmetry Breaking and Gauge Boson Masses

arXiv:2503.14578 · doi:10.1016/j.nuclphysb.2025.116959

Abstract

This work introduces the G $_{2}$ -Ricci flow on seven-dimensional manifolds with non-zero torsion and explores its physical implications. By extending the Ricci flow to manifolds with G $_{2}$ structures, we study the evolution of solitonic solutions and their role in spontaneous symmetry breaking in gauge theories. In particular, this model proposes that the masses of the W and Z bosons are determined not by an external scalar field, as in the Higgs mechanism, but by the intrinsic geometric torsion of the manifold. Furthermore, a possible connection between the geometry of extra dimensions and the curvature of our spacetime is explored, with implications for the experimentally observed positive cosmological constant. This approach provides an innovative interpretation of fundamental interactions in theoretical physics, opening new possibilities for studying extra dimensions and the geometry of G $_{2}$ -manifolds.

20 pages

Introduction of the G2​-Ricci Flow: Geometric Implications for Spontaneous Symmetry Breaking and Gauge Boson Masses

Abstract

References in corpus (5)

Introduction of the G $_{2}$ -Ricci Flow: Geometric Implications for Spontaneous Symmetry Breaking and Gauge Boson Masses