Pentcho,
it was an interesting article. It is true that scale relativity is not dealt with by Einstein and yet it is everyday experience that the output from the sensory data we receive does show difference in observed size depending on distance from source. Perspective has been known in art since the Renaissance yet seems ignored in physics. That fact of apparent size variation makes it obvious that the observed object is an image manifestation and not the object itself. Yet somehow that is forgotten when observations are dealt with within special relativity. It was really interesting to hear that they can reproduce Einstein's results using shape dynamics. I also think it a really interesting and important realization that shape has a stability that size does not, when considering distance from an observer. Though thinking about perspective I don't think that stability is retained in the output image of an observer, if the triangle is rotated about different axes and then observed. So it definitely it depends upon whether it is a triangle object of fixed shape who is angles can not change or an image fabrication that can vary according to how the sensory data from which it is constructed is received, that is under consideration .- though I suspect that Julian might still say that it is neither but a triangle in abstract shape space.That the triangles are being considered for tiling space and thinking about black holes just surprises me but it isn't absurd, merely seeing what the idea can do.