A highly technical book describing a new Cosmology for the Beginning of the Universe as well as diverse related topics such as Quantum Field Theory, Tachyons, Quantum Coordinates and Dimensions, Inflationary Cosmology, complex space-time, complex General Relativity, the dodecahedral shape of the universe and so on. The intended audience is cosmologists, physicists, mathematical physicists, mathematicians, and graduate students in those areas.