From the Unification of Conformal and Fuzzy Gravities with Internal Interactions to the $SO(10)$ GUT and the Particle Physics Standard Model

TL;DR

This paper explores a unified framework combining conformal and fuzzy gravities with internal interactions, leading to a pathway towards the Standard Model via symmetry breakings and scale estimations using one-loop RGEs.

Contribution

It introduces a novel unification approach of gravities and internal interactions, detailing symmetry breaking sequences toward the Standard Model and estimating relevant energy scales.

Findings

Unified theories can break down into the Standard Model.

Scale estimations of symmetry breakings using one-loop RGEs.

Potential pathways for gravity and particle physics unification.

Abstract

In the present study, the unification of the Conformal and Fuzzy Gravities with the Internal Interactions is based on the observation that the tangent space of a curved space and the space itself do not have necessarily the same dimensions. Moreover, the construction is based on the fact that the gravitational theories can be formulated in a gauge-theoretical way. In the present work we study the various consecutive breakings through which these unified theories can ultimately result into the Standard Model. We estimate the scales of the breakings in each case using one-loop RGEs.