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

We present a unification scenario of the conformal and fuzzy gravities with the internal interactions, based on the observation that the tangent space of a curved space and the space itself do not necessarily have the same dimensions. Accordingly, the construction is based on enlarging the tangent space, while it is formulated in a gauge-theoretical way.