Unification of Einstein Gravity with Internal Interactions
Abstract
The gauge-theoretic formulation of gravity, enriched with the observation that the tangent group of a curved manifold need not have the same dimension as the manifold itself, provides a natural framework for unifying gravity with internal interactions. In the present work we study the unification of Einstein gravity with the SO(10) grand unified theory within an SO(1,17) gauge theory. As a central result, we derive Einstein gravity with a cosmological constant from the spontaneous symmetry breaking (SSB) of an SO(1,5) gauge theory to the Lorentz group via two independent routes: one using two scalar fields in the fundamental representation 6 of SO(6), and one using a single scalar in the adjoint 15. Both yield a Gauss-Bonnet + Einstein-Hilbert + cosmological constant action. Embedding the SO(1,5) gravitational sector in SO(1,17) and breaking the full gauge group yields Einstein gravity coupled to SO(10). The Weyl-Majorana condition reduces the fermion family degeneracy to two, in contrast to the four families obtained in the SO(2,16) conformal gravity unification.
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BibTeX
@misc{stefas2026unification,
title = {{Unification of Einstein Gravity with Internal Interactions}},
author = {S. Stefas and G. Zoupanos},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29590},
eprint = {2609.29590},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29590},
}
RIS
TY - UNPB
TI - Unification of Einstein Gravity with Internal Interactions
AU - S. Stefas
AU - G. Zoupanos
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.29590
UR - https://arxiv.org/abs/2609.29590
AB - The gauge-theoretic formulation of gravity, enriched with the observation that the tangent group of a curved manifold need not have the same dimension as the manifold itself, provides a natural framework for unifying gravity with internal interactions. In the present work we study the unification of Einstein gravity with the SO(10) grand unified theory within an SO(1,17) gauge theory. As a central result, we derive Einstein gravity with a cosmological constant from the spontaneous symmetry breaking (SSB) of an SO(1,5) gauge theory to the Lorentz group via two independent routes: one using two scalar fields in the fundamental representation 6 of SO(6), and one using a single scalar in the adjoint 15. Both yield a Gauss-Bonnet + Einstein-Hilbert + cosmological constant action. Embedding the SO(1,5) gravitational sector in SO(1,17) and breaking the full gauge group yields Einstein gravity coupled to SO(10). The Weyl-Majorana condition reduces the fermion family degeneracy to two, in contrast to the four families obtained in the SO(2,16) conformal gravity unification.
ER -