The new edition will provide the sole comprehensive resource available for non-linear optics, including detailed descriptions of the advances over the last decade from world-renowned experts.

It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. This volume offers a self-consistent hypothesis which removes some of these problems, as well as builds a framework on which linear and nonlinear optics are treated as a non-Abelian gauge held theory based on the emergence of the fundamental magnetizing field of radiation, the B(3) field. Part One deals with development of the basic theory at the undergraduate level; Part Two is a collection of invited articles in advanced electrodynamics.

This monograph consists of nine chapters which develop the well known Einstein Cartan Evans (ECE and ECE2) unified field theory which has swept the world of science in step with the knowledge revolution. It systematically develops the ECE theory from geometrical first principles and applies it to the unification of gravitation and electrodynamics and the unification of quantum mechanics and general relativity in nine chapters as follows. 1) "Basics of Cartan Geometry"; 2) "Electrodynamics and Gravitation; 3) "ECE Theory and Beltrami Fields"; 4) "Photon Mass and the B(3) field"; 5) "Unification of Quantum Mechanics and Gravitation"; 6) "Antisymmetry"; 7) "Energy from Spacetime and Low Energy Nuclear Reactions"; 8) "ECE Cosmology "; 9) "Relativistic Cosmology and Einstein's Gravitational Waves". The monograph has been translated into Spanish by Alex Hill (Spanish language section of www.aias.us. It has already been read tens of thousands of times off www.aias.us and www.upitec.org. Both sites are archived permanently on www.archive.org and www.webarchive.org.uk About the Authors Myron Evans ("Marquis Who's Who" over thirty editions online) is a Civil List Pensioner and author of about two thousand publications and broadcasts. He is perhaps best known for the Einstein Cartan Evans (ECE and ECE2) unified field theory, which has been studied open source tens of millions of times. Horst Eckardt (Marquis world edition online) is a well known author and co author of many of the ECE and ECE2 papers on www.aias.us and www.upitec.org. He is primarily interested in sources of new energy and is also a theoretical physicist and chemist. He is a leading scholar of ECE physics. Douglas Lindstrom (Marquis world edition online) is primarily interested in new forms of energy and worked in government facilities in Canada developing new materials. He is a well known author of several of the ECE papers, and is a leading ECE scholar. Stephen Crothers is probably the leading scholar of conventional Einsteinian general relativity and is a well known author and lecturer. He is an internationally renowned and definitive critic of the methods used to solve the conventional Einstein field equation.

This book is the first to describe a very successful objective unified field theory which emerged in 2003 and which is already mainstream physics - Einstein Cartan Evans (ECE) field theory. The latter completes the well known work of Einstein and Cartan, who from 1925 to 1955 sought to unify field theory in physics with the principles of general relativity. These principles are based on the need for objectivity in natural philosophy, were first suggested by Francis Bacon in the sixteenth century and developed into general relativity in about 1915. In this year, using Riemann geometry, Einstein and Hilbert independently arrived at an objective field equation for gravitation. Since then there have been many attempts to unify the 1915 gravitational theory with the other three fundamental fields: electromagnetism, the weak and strong fields. In this sixth volume ECE theory is established as the only correct theory of natural philosophy at present. The standard model of physics is shown to be erroneous fundamentally in its gravitational and electromagnetic sectors because of its neglect of spacetime torsion. In the papers of this volume, the ECE theory is extended systematically to encompass several internationally acknowledged and fundamental discoveries in the natural sciences and engineering, cosmology and mathematics. These discoveries are based on relatively simple methods and have been accepted by the scientific community in several disciplines. The standard model of physics is obsolete dogma, and no longer has scientific meaning.

This book is the first to describe a very successful objective unified field theory which emerged in 2003 and which is already mainstream physics -Einstein Cartan Evans (ECE)field theory.The latter completes the well known work of Einstein and Cartan,who from 1925 to 1955 sought to unify field theory in physics with the principles of general relativity.These principles are based on the need for objectivity in natural philosophy,were first suggested by Francis Bacon in the sixteenth century and developed into general relativity in about 1915.In this year,using Riemann geometry,Einstein and Hilbert independently arrived at an objective field equation for gravitation.Since then there have been many attempts to unify the 1915 gravitational theory with the other three fundamental fields: electromagnetism,the weak and strong fields. As described for the first time in this book,unification is achieved straightforwardly with the principles of standard Cartan geometry and the Evans Ansatz.The latter shows that electromagnetism is spinning spacetime,gravitation is curving spacetime and that they are unified with the structure (or master)equations of Cartan.Quantum mechanics is unified with general relativity using the Evans Lemma and wave equation. Technical appendices and charts are provided which show how all the major equations of physics are obtained from the ECE field theory and two introductory chapters describe the background mathematics from an elementary level. In this third volume,ECE theory is extended to the Sagnac effect and Faraday disc generator to show that electrodynamics is spinning space-time in general relativity.These two effects are difficult to explain with special relativity.A simplified dielectric ECE theory is developed and applied for example to cosmology.One chapter is dedicated to a convenient summary of all the details of Cartan geometry needed to develop ECE theory.The important topic of spin connection resonance (SCR)is introduced and applied to new energy and counter-gravitation.Finally wave mechanics is developed in ECE theory.