  Taking manifest invariance under both gauge symmetry and diffeomorphisms as a
guiding principle physical objects are constructed for Yang-Mills-Higgs theory
coupled to quantum gravity. These objects are entirely classified by quantum
numbers defined in the tangent space. Applying the Fr\"ohlich-Morchio-Strocchi
mechanism to these objects reveals that they coincide with ordinary correlation
functions in quantum-field theory, if quantum fluctuations of gravity and
curvature become small. Taking these descriptions literally exhibits how
quantum gravity fields need to dress quantum fields to create physical objects,
i.e. giving a graviton component to ordinary observed particles. The same
mechanism provides access to the physical spectrum of pure gravitational
degrees of freedom.
