&gt; <i>If current mathematics is unable to describe physics, then new mathematics is invented</i><p>Now suppose that this process stops. One day, mathematics describes physics. What does that mean? It means that some pencil-and-paper mathematics descriptions hint at an abstraction, and that abstraction <i>is</i> physics.<p>The mathematics which was used prior to that point was not the right one. That mathematics still corresponds to a universe, just not this one.<p>The idea is that every mathematical object is a universe (not to be confused with some representation of that object, like a definition in plain language, or a diagram, 
equation).<p>The world may be exactly the same <i>category</i> of thing as <i>dodecahedron</i> or <i>pi</i>. (Not in the category of pencil-and-paper description of such things; the category of those thing themselves.)