The new draft now contains the following text:
What does this kind of compression mean in an isomorphic representation? If the perceptual frame of reference is compressed along with the objects in that space, then the compression need not be immediately apparent perceptually. Figure 16 (C) (reproduced below) represents the compressed reference grid in the compressed space, i.e. the unequal intervals between adjacent grid lines in depth define intervals that are perceived to be of equal length, so the flattened cubes defined by the distorted grid would appear perceptually as regular cubes, of equal height, breadth, and depth. This compression of the reference grid to match the compression of the space would, in a mathematical system with infinite resolution, completely conceal the compression from the percipient. In a real physical implementation on the other hand, there are two effects of this compression that would remain apparent perceptually, because the spatial matrix itself would have to have a finite perceptual resolution, i.e. there is a limit to the smallest edge or surface that can be expressed in the matrix. Therefore the depth dimension of the space would exhibit a progressively reduced resolution as a function of depth. A second, related effect would result from the singular condition at the far surface of the representation, where the resolution of the depth dimension falls to zero. This means that beyond a certain limiting range, all objects would be perceived to be flattened into two dimensions, with zero extent in depth. This phenomenon too is observed perceptually, where the sun and moon and distant mountains appear perceptually as if cut out of cardboard and pasted against the flat dome of the sky, as seen also in the museum diarama.