The mathematics of the grand unified theory

This paper surveys the mathematics of GUT and highlights the author's new real number system R∗ which is a continuum, non-Archimedean and non-Hausdorff, but its subspace of decimals is countably infinite, discrete, Archimedean and Hausdorff. The paper also proves Goldbach's conjecture in R∗ and provides an overview of GUT and qualitative and computational models of many of the presently ill-defined physical concepts, e.g., gravity.