It's a math paper, not one in evolutionary biology. Only the mathematical aspect is of relevance here, and either it holds water or it doesn't. You can assume a

It's a math paper, not one in evolutionary biology. Only the mathematical aspect is of relevance here, and either it holds water or it doesn't. You can assume a seven-dimensional space, and for analyzing the geometry of such space it is irrelevant whether it actually exists somewhere in the universe or beyond.