Mass hierarchies from two extra dimensions

TL;DR

This paper proposes a geometric model where particle mass hierarchies are explained by the positions of domain walls in a two-dimensional anti-de Sitter space, linking fundamental scales to extra-dimensional geometry.

Contribution

It introduces a novel geometric framework connecting extra-dimensional domain wall configurations to observed mass hierarchies in particle physics.

Findings

Mass scales correspond to domain wall positions.

The extra space is tiled by cells with specific geometric properties.

A graphical representation of the extra space is provided.

Abstract

The string, MSSM GUT, weak and QCD scales, and the Rydberg constant, correspond to the positions of AdS domain wall intersections in a two-dimensional extra space of infinite extent. The domain walls lie along and parallel to the sides of cells which tile the extra space. The cells are four-sided with parallel opposite sides of lengths Rln(pi/2) and Rln(pi), where R is the AdS radius of curvature. Particle masses correspond to the positions of domain walls. We represent the extra space graphically.