Group Theoretical Methods in Physics: Proceedings of the Fifth International Colloquium provides information pertinent to the fundamental aspects of group theoretical methods in physics. This book provides a variety of topics, including nuclear collective motion, complex Riemannian geometry, quantum mechanics, and relativistic symmetry. Organized into six parts encompassing 64 chapters, this book begins with an overview of the theories of nuclear quadrupole dynamics. This text then examines the conventional approach in the determination of superstructures. Other chapters consider the Hamiltonian formalism and how it is applied to the KdV equation and to a slight variant of the KdV equation. This book discusses as well the significant differential equations of mathematical physics that are integrable Hamiltonian systems, including the equations governing self-induced transparency and the motion of particles under an inverse square potential. The final chapter deals with the decomposition of the tensor product of two irreducible representations of the symmetric group into a direct sum of irreducible representations. This book is a valuable resource for physicists.

Einstein was Right! Quantum Mechanics and General Relativity are the two main theories of physics that describe the universe in which we live. Attempts at combining them have been made since the 1920's with no success. Albert Einstein spent much of his later years searching for the key to unification. He never fully accepted quantum theory and maintained it was incomplete. Einstein showed that gravitation is the curving of spacetime, not an attractive force between masses. Evans has showed that electromagnetism is the spinning of spacetime. Using Cartan differential geometry, Evans describes Einstein's gravitation and quantum electromagnetics in the same equations. This book describes the basics of special relativity, quantum mechanics, general relativity, and the geometry used to describe them.

"A fascinating and thought-provoking story, one that sheds light on the origins of . . . the current challenging situation in physics." -- Wall Street Journal When the fuzzy indeterminacy of quantum mechanics overthrew the orderly world of Isaac Newton, Albert Einstein and Erwin Schröger were at the forefront of the revolution. Neither man was ever satisfied with the standard interpretation of quantum mechanics, however, and both rebelled against what they considered the most preposterous aspect of quantum mechanics: its randomness. Einstein famously quipped that God does not play dice with the universe, and Schröger constructed his famous fable of a cat that was neither alive nor dead not to explain quantum mechanics but to highlight the apparent absurdity of a theory gone wrong. But these two giants did more than just criticize: they fought back, seeking a Theory of Everything that would make the universe seem sensible again. In Einstein's Dice and Schröger's Cat, physicist Paul Halpern tells the little-known story of how Einstein and Schröger searched, first as collaborators and then as competitors, for a theory that transcended quantum weirdness. This story of their quest-which ultimately failed-provides readers with new insights into the history of physics and the lives and work of two scientists whose obsessions drove its progress. Today, much of modern physics remains focused on the search for a Theory of Everything. As Halpern explains, the recent discovery of the Higgs Boson makes the Standard Model-the closest thing we have to a unified theory- nearly complete. And while Einstein and Schröger failed in their attempt to explain everything in the cosmos through pure geometry, the development of string theory has, in its own quantum way, brought this idea back into vogue. As in so many things, even when they were wrong, Einstein and Schröger couldn't help but get a great deal right.

Grand Unified Theories introduces the application of gauge field theories to a unified description of the strong, electromagnetic, weak, and gravitational interactions. The phenomenological aspects of the work are emphasized and explicit calculations presented. Many of the aspects of current research, including technicolor models, supersymmetry and supergravity, and the cosmological implications of these theories, are discussed in this book.This book is suitable for graduate students with a background in quantum mechanics, and experimental and theoretical particle physicists who want to understand the grand unified theories.

General theorem providing a mathematical basis for a grand Unified Field Theory (GUT) is presented. The proof of the theorem is shown to be a recent work entitled 'Generalised Mathematical Proof of Einstein's Theory Using a New Group Theory', which has been reviewed by the American Mathematical Society. This work provides generic solutions to the unified field, from which both the Newtonian and Einsteinian gravitational fields seem to be recoverable. Furthermore, the electromagnetic field seems to be recoverable also from these solutions. Since the investigation does not assume the existence of particles a priori, matter could therefore be interpreted as high field intensity. Therefore, nuclear force fields (strong and weak) seem to be included. The solution seems to mathematically represent the modification of space-time predicted by Einstein's general relativity theory.

Why did Einstein tirelessly study unified field theory for more than thirty years? In this book, the author argues that Einstein believed he could find a unified theory of all of nature's forces by repeating the methods he thought he had used when he formulated general relativity. The book discusses Einstein's route to the general theory of relativity, focusing on the philosophical lessons that he learnt. It then addresses his quest for a unified theory for electromagnetism and gravity, discussing in detail his efforts with Kaluza-Klein and, surprisingly, the theory of spinors. From these perspectives, Einstein's critical stance towards the quantum theory comes to stand in a new light. This book will be of interest to physicists, historians and philosophers of science.