On the equivalence principle as a breaking of the dilatation symmetry

TL;DR

This paper explores a gauge theory framework called Conformal Affine Theory (CAT) that unifies gravity, electromagnetism, and potentially the Standard Model through a holographic duality, emphasizing scale invariance and symmetry breaking.

Contribution

It introduces CAT as a minimalistic unification scheme linking gravity and gauge interactions via holography, completing Weyl's geometrisation of electromagnetism and proposing a pathway to Standard Model unification.

Findings

Derivation of bimetric gravity models as non-inertial gauges in CAT

Completion of Weyl's geometrisation of electromagnetism within CAT

Sketch of Standard Model emergence from light cone assumptions

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.