NONLINEARITY, NONLOCALITY AND ULTRAMETRICITY
International Conference on the Occasion of Branko Dragovich 80th Birthday
26 — 30.05.2025, Belgrade, Serbia




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George Zoupanos

Unification of Conformal and Fuzzy Gravities with Internal Interactions based on the $SO(10)$ GUT

Abstract

Based on the observation that the dimension of the tangent space is not necessarily equal to the dimension of the corresponding curved manifold and on the known fact that gravitational theories can be formulated in a gauge theoretic way, we discuss how to describe all known interactions in a unified manner. This is achieved by enlarging the tan- gent group of the four-dimensional manifold to $SO(2,16)$, which permits the inclusion of both gauge groups, the one that describes gravity as a gauge theory as well as the $SO(10)$ GUT. The gravity theories to be discussed are the Conformal and Fuzzy gravities.