As elec. engineers (and c. scientists) one of our only hammers is signals theory and cosmology looks like a nail. But the physicists probably have it right.
... have what right exactly? Pictures (i.e. measurements) of faint celestal bodies are but mushy wish-washed smears of a point is what I'm talking about for example. Quite simply, our band-width is limited by position, the ammount that we can observe is likely just a tiny fraction, the known universe only accounts for ca. 10% of theoretical total energy. In that sense the low energies are likely lost on us, then we actually see through a highpass (redshift?).
I mean that the physicists have accounted for the limited amount of information available and still conclude that the observable universe is not a fractal.
I remember thinking about this in 2011/2012 when it wasn't known (IIRC there was a bet over a bottle of wine between two physicists over this matter). But years later, because a satellite "zoomed out" far enough and sent images back to earth, physicists confirmed that it is very likely that the observable universe is not a fractal (i.e. it's Hausdorff-Besikovitch dimension, which is calculated from measurements, is fractional).