There's nothing particularly novel or unique about holding the belief that a mathematical model of reality is the same thing as reality. Discussions on HN reveal that many commenters hold this belief, arguing, for example, that a "virtual" universe simulated on a supercomputer would be indistinguishable from a real (or the real) universe.
Max Tegmark is largely responsible for popularising the idea.
I'm always rooting for the anti-establishment math/phys researchers, but this article fails to impress.