This book starts with the exponential series and deduces every possible kind of space that has geometric structure. We see our observed 4-dimensional space-time fall out of the exponential series as the unique super-position space that has geometric structure.The mathematics is within the ability of a bright high school student, and the steps are carefully explained.This simple book is perhaps the biggest revolution in our understanding of empty space since Euclid, and it is all so simple.Every possible type of rotation is deduced, and, with each type of rotation, the distance function held constant by by that rotation is deduced. This has profound implications for gauge theory.The fermion content of the universe is explained as the small number of rotations that can be manifest in our 4-dimensional space-time - there is a match.The expansion of the universe is explained - it is so obvious that Einstien ought to have seen it, but he famously did not see it.This book asks and answers many questions that have not before been asked like:Why is there only one gravity field when there are two electro-magnetic fields?Why are there two electro-magnetic fields rather than, say, three or four?This book answers questions that have been asked many times but were unansered like:Why is the universe 4-dimensional?Why do we have four forces in our universe rather than, say, ten or twenty?This book presents the complex numbers in a remarkably simple form, and we see deeply into the nature of mathematics.This book explains why there are two algebraic operations, addition and multiplication, rather than, say three of five.This book is a very pleasant read; indeed, for a maths student or a physics student, this book is simple enough to be a bedtime read. The book is clearly written with an engaging stlye.The author has been researching the nature of empty space for more than twenty years. This puts him at the forefront of theoretical physics. He is an outstanding mathematician with an outstanding ability to pierce through the fog to the essence of the subject.Suitable for high school students and above.