  Brans-Dicke theory is described by an action that allows the so called frame
transformation, which replaces the non-minimal coupling between the scalar
field and the curvature by a coupling between the scalar field and matter
fields. In this paper, we describe how the viewpoint that they are physically
equivalent has a geometrical counterpart in the framework of Weyl integrable
geometry. This way, Dicke's interpretation in terms of running units is a
physical manifestation of the non-metricity tensor.
