Deriving the mass of particles from Extended Theories of Gravity in LHC era

TL;DR

This paper proposes a geometrical framework based on extended gravity theories to derive particle masses, suggesting a unified origin of interactions and addressing the hierarchy problem within a 5D unification scheme testable at the LHC.

Contribution

It introduces a novel geometric approach from 5D unification to derive particle masses and interactions, potentially resolving the hierarchy problem without new particles.

Findings

Interactions emerge as symmetry breaking of diffeomorphisms

Gravitational degrees of freedom generate a TeV-scale cut-off

Gravity induces other interactions non-perturbatively

Abstract

We derive a geometrical approach to produce the mass of particles that could be suitably tested at LHC. Starting from a 5D unification scheme, we show that all the known interactions could be suitably deduced as an induced symmetry breaking of the non-unitary GL(4)-group of diffeomorphisms. The deformations inducing such a breaking act as vector bosons that, depending on the gravitational mass states, can assume the role of interaction bosons like gluons, electroweak bosons or photon. The further gravitational degrees of freedom, emerging from the reduction mechanism in 4D, eliminate the hierarchy problem since generate a cut-off comparable with electroweak one at TeV scales. In this "economic" scheme, gravity should induce the other interactions in a non-perturbative way.