Gravitationally Generated Interactions

TL;DR

This paper derives extended theories of gravity from a 5D manifold, linking spacetime deformations to particle masses and interactions, and discusses experimental implications and unification prospects.

Contribution

It introduces a reduction mechanism from 5D to 4D that reproduces ETGs and relates spacetime deformations to particle spectra and interactions.

Findings

Deformation-based approach reproduces ETGs

Predicts energy-dependent coupling and spinor interactions

Suggests experimental tests at LHC

Abstract

Starting from a 5D-Riemannian manifold, we show that a reduction mechanism to 4D-spacetimes reproduces Extended Theories of Gravity (ETGs) that are direct generalizations of Einstein's gravity. In this context, the gravitational degrees of freedom can be dealt under the standard of spacetime deformations. Besides, such deformations can be related to the mass spectra of particles. The intrinsic non-linearity of ETGs gives an energy-dependent running coupling, while torsion gives rise to interactions among spinors displaying the structure of the weak forces among fermions. We discuss how this scheme is compatible with the known observational evidence and suggest that eventual discrepancies could be detected in experiments, as ATLAS and CMS, today running at LHC (CERN). We finally discuss the consequences of the present approach in view of unification of physical interactions.