  Current observations present unprecedented opportunities to probe the true
nature of black holes, which must harbor new physics beyond General Relativity
to provide singularity-free descriptions. To test paradigms for this new
physics, it is necessary to bridge the gap all the way from theoretical
developments of new-physics models to phenomenological developments such as
simulated images of black holes embedded in astrophysical disk environments. In
this paper, we construct several steps along this bridge. We construct a novel
family of regular black-hole spacetimes based on a locality principle which
ties new physics to local curvature scales. We then characterize these
spacetimes in terms of a complete set of curvature invariants and analyze the
ergosphere and both the outer event as well as distinct Killing horizon. Our
comprehensive study of the shadow shape at various spins and inclinations
reveals characteristic image features linked to the locality principle. We also
explore the photon rings as an additional probe of the new-physics effects. A
simple analytical disk model enables us to generate simulated images of the
regular spinning black hole and test whether the characteristic image-features
are visible in the intensity map.
