This book presents the long sought after quaternion form of the Dirac equation. Recent developments in understanding quaternion differentiation by the author of this book have produced a rewrite of the Dirac equation as a quaternion equation. The quaternion Dirac equation predicts parity violation by the weak force and explains how neutrinos can be both massless and oscillate between generations. We also have a significant step towards the unification of general relativity and quantum field theory. This book is a monumental triumph of work by many individuals over almost a century. It will be...

This book presents the modern quantum field theory view of the electron. This view is very different from the outdated classical view that is most often taught in schools and colleges. We cannot present the QFT view of the electron without also presenting the electron's sister particle the neutrino, and so the QFT view of the neutrino is presented also. The quantum physics equations which describe the electron and the neutrino are presented in a simple and clear way. The Dirac equation is rewritten using quaternions, and this leads to a resolution of the neutrino mass problem and to an...

This book is a non-mathematical description of our present understanding of the nature of empty space and time. It is written to be easily understood by the intelligent lay person. After centuries with only little advance in our understanding of the physics of empty space, there have been sudden recent developments in this area. The author is at the forefront of those recent developments. This enthralling book is clear and simple.

This book is about the space-time of our universe. This book is about why our space-time is 4-dimensional and why it has the observed distance function. The mathematics in this book are no more than matrices and a little finite group theory. The mathematical steps are clearly laid out and simple to follow. From this elementary mathematics, we get general relativity and classical electromagenetism; we get spinors stripped naked; we get gravito-electromagnetism; and we get the space-time of our universe. We also get an explanation of why there are three generations of matter and why the...

This book is about spinors. The whole mathematical theory of spinors is within Clifford algebra, and so this book is about Clifford algebra. Spinor theory is really the theory of empty space, and so this book is about empty space. The whole of Clifford algebra is rewritten in a much simpler form, and so the whole of spinor theory is rewritten in a much simpler form. Not only does this book make Clifford algebra simple and obvious, but it lifts the fog and mirrors from this area of mathematics to make it clear and obvious. In doing so, the true nature of spinors is revealed to the reader, and,...

This book is about the 4-dimensional space-time of our universe. From nothing more than the spinor algebras, we derive the existence and nature of our space-time. We explain why our space-time is 4-dimensional, why is has the distance function it has, why we have two types of 2-dimensional angles in our 4-dimensional space-time, and why we find intrinsic curvature in our space-time. We also derive tensor calculus, general relativity, and Riemann geometry from the spinor algebras. We also see classical electromagnetism emerge alongside general relativity. This book is a very easy and clearly...

This book is about the higher dimensional complex numbers. Although it was not known when the first edition was printed, the higher dimensional complex numbers are spinor spaces and the classical spaces, including our 4-dimensional space-time, arise from these spinor spaces by superimposition of isomorphic algebras. This book covers the mathematical foundations underlying the mathematics of spinors and the space-time of classical physics. To understand this book, the reader needs no more than an elementary understanding of matrices and an elementary understanding of finite group theory....

This book is about quaternions. The quaternions are derived from finite group theory. Non-commutative differentiation is included, as is non-commutative rotation. Quaternion trigonometry is included. Double cover rotation is included. The spinors of quantum physics are shown to be quaternions. Lie algebra and Clifford algebra are visited.

This book is a rewrite of Lie groups and Lie algebras. The rewrite very much simplifies the standard presentations. The rewrite is done by approaching this area of physics and maths from the intuitively easy side of Lie groups first and Lie algebras second. This makes an inspiring and simple presentation of the material.