On the equivalence principle as a breaking of the dilatation symmetry

Abstract

The so called Telelateral Conformal Gravity (TCG) is a first order gauge theory describing inertia as internal, scale invariant geometry. The Conformal Affine Theory (CAT) unifies other interactions into TCG in a minimalistic scheme via an exact holographic gauge-gravity duality. In the three parts of this Letter, the currently topical bimetric gravity models are obtained as non-inertial gauges in the CAT, the geometrisation of electromagnetism by Hermann Weyl is brought to a completion, and it is sketched how the rest of the Standard Model could result from the assumption of a light cone, respectively. The radically intuitive CAT suggests the possibility of further transgressive unification of sciences.