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Unified Field Theory: Mathematical Treatise

Unified Field Theory: Mathematical Treatise PDF Author: R. A. Villecco
Publisher: FriesenPress
ISBN: 1460242343
Category : Science
Languages : en
Pages : 125

Book Description
In this book, all known electromagnetic laws are proven to be derivable from the solution of a single quadratic equation. This governing equation, it is shown, generates precisely three complex fields in 4-space, but can itself be generated as a law of all even-dimensioned spaces in universes having "meaning," without need of a prior knowledge of physics. Provided for the first time are electromagnetic formulas applicable in a general Riemannian space: the fundamental field tensor with three complex components, the energy-momentum tensor and the force-power tensor. The Lorentz force, as currently known, is shown to be an approximate form of the derived Riemannian force-power tensor, which imbeds gravitational interactions inclusive of frame-dragging terms. Newly identified electro-gravitational interaction force and power-transfer mechanisms are provided as natural consequences of the reformulations. As a byproduct of the complex-field theory developed in this book, the mystery of missing magnetic monopoles in nature is fully resolved. Also clarified are classical duality, field superposition, and the origins of charge sign and chirality. The approach taken to include all spatial dimensionalities leads to the justifiable conclusion that infinitely many higher-dimensioned spaces likely exist, with their laws of operation able to be broadly generated from the material presented....

Unified Field Theory: Mathematical Treatise

Unified Field Theory: Mathematical Treatise PDF Author: R. A. Villecco
Publisher: FriesenPress
ISBN: 1460242343
Category : Science
Languages : en
Pages : 125

Book Description
In this book, all known electromagnetic laws are proven to be derivable from the solution of a single quadratic equation. This governing equation, it is shown, generates precisely three complex fields in 4-space, but can itself be generated as a law of all even-dimensioned spaces in universes having "meaning," without need of a prior knowledge of physics. Provided for the first time are electromagnetic formulas applicable in a general Riemannian space: the fundamental field tensor with three complex components, the energy-momentum tensor and the force-power tensor. The Lorentz force, as currently known, is shown to be an approximate form of the derived Riemannian force-power tensor, which imbeds gravitational interactions inclusive of frame-dragging terms. Newly identified electro-gravitational interaction force and power-transfer mechanisms are provided as natural consequences of the reformulations. As a byproduct of the complex-field theory developed in this book, the mystery of missing magnetic monopoles in nature is fully resolved. Also clarified are classical duality, field superposition, and the origins of charge sign and chirality. The approach taken to include all spatial dimensionalities leads to the justifiable conclusion that infinitely many higher-dimensioned spaces likely exist, with their laws of operation able to be broadly generated from the material presented....

Highlights of the Grand Unified Theorem

Highlights of the Grand Unified Theorem PDF Author: G. A. Oyibo
Publisher: Nova Publishers
ISBN: 9781590332597
Category : Mathematics
Languages : en
Pages : 116

Book Description


Quantum Field Theory and Gravity

Quantum Field Theory and Gravity PDF Author: Felix Finster
Publisher: Springer Science & Business Media
ISBN: 3034800436
Category : Mathematics
Languages : en
Pages : 389

Book Description
One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Uniphase

Uniphase PDF Author: Sujoy Deyasi
Publisher: iUniverse
ISBN: 059526901X
Category : Body, Mind & Spirit
Languages : en
Pages : 270

Book Description
Defines the "fifth dimension" as mentioned in the book The Bible Code, by Michael Drosnin and presents a solution to Albert Einstein's "Unified Field Theory," as mentioned in the book, A Brief History of Time - from big bang to black holes by Stephen Hawking. This explanation or solution is presented without applying any mathematical equation, formula or diagram. Uniphase explains "spirituality" applying basic modern optical physics. This treatise is "The Answer" that John Lennon, the ex-Beatle, went to find India and it fulfills the wishes that were expressed by him in the song "Imagine."

Mathematical Aspects of Quantum Field Theories

Mathematical Aspects of Quantum Field Theories PDF Author: Damien Calaque
Publisher: Springer
ISBN: 3319099493
Category : Science
Languages : en
Pages : 572

Book Description
Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed. Both leading experts and comparative newcomers to the field present their latest findings, helping readers to gain a better understanding of not only quantum but also classical field theories. Though the book offers a valuable resource for mathematicians and physicists alike, the focus is more on mathematical developments. This volume consists of four parts: The first Part covers local aspects of perturbative quantum field theory, with an emphasis on the axiomatization of the algebra behind the operator product expansion. The second Part highlights Chern-Simons gauge theories, while the third examines (semi-)classical field theories. In closing, Part 4 addresses factorization homology and factorization algebras.

Advanced Classical Field Theory

Advanced Classical Field Theory PDF Author: G. Giachetta
Publisher: World Scientific
ISBN: 9812838961
Category : Science
Languages : en
Pages : 393

Book Description
Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology terms provide the strict mathematical formulation of BRST extended classical field theory. The most physically relevant field theories OCo gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory OCo are presented in a complete way. This book is designed for theoreticians and mathematical physicists specializing in field theory. The authors have tried throughout to provide the necessary mathematical background, thus making the exposition self-contained.

Generally Covariant Unified Field Theory

Generally Covariant Unified Field Theory PDF Author: Myron Wyn Evans
Publisher: Theschoolbook.com
ISBN:
Category : Mathematics
Languages : en
Pages : 580

Book Description
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 chapers describe the background mathematics from an elementary level. The mathematical structure of ECE field theory is standard Cartan geometry, also known as differential geometry. The main topics of contemporary physics are covered in individual chapters, which also describe the conditions under which ECE theory reduces to Einstein Hilbert (EH) theory, and to Maxwell Heaviside field theory in classical electrodynamics. The Dirac equation is derived as a limit of the wave equation of ECE theory. The Schrodinger and Newton equations then follow as limits of the Dirac equation. It is therefore shown that ECE field theory provides, for the first time, a structure for the objective unification of field theory in natural philosophy.

Unified Field Theories

Unified Field Theories PDF Author: Vladimir P. Vizgin
Publisher: Springer Science & Business Media
ISBN: 3034801742
Category : Mathematics
Languages : en
Pages : 353

Book Description
Despite the rapidly expanding ambit of physical research and the continual appearance of new branches of physics, the main thrust in its development was and is the attempt at a theoretical synthesis of the entire body of physical knowledge. The main triumphs in physical science were, as a rule, associ ated with the various phases of this synthesis. The most radical expression of this tendency is the program of construction of a unified physical theory. After Maxwellian electrodynamics had unified the phenomena of electricity, magnetism, and optics in a single theoretical scheme on the basis of the con cept of the electromagnetic field, the hope arose that the field concept would become the precise foundation of a new unified theory of the physical world. The limitations of an electromagnetic-field conception of physics, however, already had become clear in the first decade of the 20th century. The concept of a classical field was developed significantly in the general theory of relativity, which arose in the elaboration of a relativistic theory of gravitation. It was found that the gravitational field possesses, in addition to the properties inherent in the electromagnetic field, the important feature that it expresses the metric structure of the space-time continuum. This resulted in the following generalization of the program of a field synthesis of physics: The unified field representing gravitation and electromagnetism must also describe the geometry of space-time.

Unified Field Theory

Unified Field Theory PDF Author: Phil Bouchard
Publisher: AuthorHouse
ISBN: 1504927141
Category : Science
Languages : en
Pages : 56

Book Description
In this book, a new gravitational theory is being suggested to replace general relativity. The theory is objective and predicts low-scale GPS gravitational time dilation, perihelion precession disparity, gravitational light bending, artificial faster-than-light motion, up to the rotation curve for all galaxies, natural faster-than-light universe expansion, and can even explain the black holes! In practical terms, this means the following: We can achieve infinite speed. We can also easily time travel into the future. It follows levitation, also derived from the theory. You will also find many reasons why general relativity is wrong and how to verify this experimentally!

Conformal Field Theory and Topology

Conformal Field Theory and Topology PDF Author: Toshitake Kohno
Publisher: American Mathematical Soc.
ISBN: 9780821821305
Category : Mathematics
Languages : en
Pages : 188

Book Description
Geometry and physics have been developed with a strong influence on each other. One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry. This book focuses on a relationship between two-dimensional quantum field theory and three-dimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle of the 1980s and Witten's invariantfor 3-manifolds derived from Chern-Simons gauge theory. An essential difficulty in quantum field theory comes from infinite-dimensional freedom of a system. Techniques dealing with such infinite-dimensional objects developed in the framework of quantum field theory have been influential in geometryas well. This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds. The book is organized as follows: The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry. Chapter 1 presents conformal field theory based on the geometry of loop groups. Chapter 2 deals with the holonomy of conformal field theory. Chapter 3 treatsChern-Simons perturbation theory. The final chapter discusses topological invariants for 3-manifolds derived from Chern-Simons perturbation theory.