Quantum Mechanics from General Relativity

Quantum Mechanics from General Relativity PDF Author: M. Sachs
Publisher: Springer Science & Business Media
ISBN: 9789027722478
Category : Science
Languages : en
Pages : 254

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Book Description
This monograph is a sequel to my earlier work, General Relativity and Matter [1], which will be referred to henceforth as GRM. The monograph, GRM, focuses on the full set of implications of General Relativity Theory, as a fundamental theory of matter in all domains, from elementary particle physics to cosmology. It is shown there to exhibit an explicit unification of the gravitational and electromagnetic fields of force with the inertial manifestations of matter, expressing the latter explicitly in terms of a covariant field theory within the structure of this general theory. This monograph will focus, primarily, on the special relativistic limit of the part of this general field theory of matter that deals with inertia, in the domain where quantum mechanics has been evoked in contemporary physics as a funda mental explanation for the behavior of elementary matter. Many of the results presented in this book are based on earlier published works in the journals, which will be listed in the Bibliography. These results will be presented here in an expanded form, with more discussion on the motivation and explanation for the theoretical development of the subject than space would allow in normal journal articles, and they will be presented in one place where there would then be a more unified and coherent explication of the subject.

Quantum Mechanics from General Relativity

Quantum Mechanics from General Relativity PDF Author: M. Sachs
Publisher: Springer Science & Business Media
ISBN: 9789027722478
Category : Science
Languages : en
Pages : 254

Get Book

Book Description
This monograph is a sequel to my earlier work, General Relativity and Matter [1], which will be referred to henceforth as GRM. The monograph, GRM, focuses on the full set of implications of General Relativity Theory, as a fundamental theory of matter in all domains, from elementary particle physics to cosmology. It is shown there to exhibit an explicit unification of the gravitational and electromagnetic fields of force with the inertial manifestations of matter, expressing the latter explicitly in terms of a covariant field theory within the structure of this general theory. This monograph will focus, primarily, on the special relativistic limit of the part of this general field theory of matter that deals with inertia, in the domain where quantum mechanics has been evoked in contemporary physics as a funda mental explanation for the behavior of elementary matter. Many of the results presented in this book are based on earlier published works in the journals, which will be listed in the Bibliography. These results will be presented here in an expanded form, with more discussion on the motivation and explanation for the theoretical development of the subject than space would allow in normal journal articles, and they will be presented in one place where there would then be a more unified and coherent explication of the subject.

The Problem of Time

The Problem of Time PDF Author: Edward Anderson
Publisher: Springer
ISBN: 3319588486
Category : Science
Languages : en
Pages : 920

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Book Description
This book is a treatise on time and on background independence in physics. It first considers how time is conceived of in each accepted paradigm of physics: Newtonian, special relativity, quantum mechanics (QM) and general relativity (GR). Substantial differences are moreover uncovered between what is meant by time in QM and in GR. These differences jointly source the Problem of Time: Nine interlinked facets which arise upon attempting concurrent treatment of the QM and GR paradigms, as is required in particular for a background independent theory of quantum gravity. A sizeable proportion of current quantum gravity programs - e.g. geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense. This book's foundational topic is thus furthermore of practical relevance in the ongoing development of quantum gravity programs. This book shows moreover that eight of the nine facets of the Problem of Time already occur upon entertaining background independence in classical (rather than quantum) physics. By this development, and interpreting shape theory as modelling background independence, this book further establishes background independence as a field of study. Background independent mechanics, as well as minisuperspace (spatially homogeneous) models of GR and perturbations thereabout are used to illustrate these points. As hitherto formulated, the different facets of the Problem of Time greatly interfere with each others' attempted resolutions. This book explains how, none the less, a local resolution of the Problem of Time can be arrived at after various reconceptualizations of the facets and reformulations of their mathematical implementation. Self-contained appendices on mathematical methods for basic and foundational quantum gravity are included. Finally, this book outlines how supergravity is refreshingly different from GR as a realization of background independence, and what background independence entails at the topological level and beyond.

Quantum Mechanics and Gravity

Quantum Mechanics and Gravity PDF Author: Mendel Sachs
Publisher: Springer Science & Business Media
ISBN: 3662096404
Category : Science
Languages : en
Pages : 200

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Book Description
This book describes a paradigm change in modern physics from the philosophy and mathematical expression of the quantum theory to those of general relativity. The approach applies to all domains - from elementary particles to cosmology. The change is from the positivistic views in which atomism, nondeterminism and measurement are fundamental, to a holistic view in realism, wherein matter - electrons, galaxies, - are correlated modes of a single continuum, the universe. A field that unifies electromagnetism, gravity and inertia is demonstrated explicitly, with new predictions, in terms of quaternion and spinor field equations in a curved spacetime. Quantum mechanics emerges as a linear, flatspace approximation for the equations of inertia in general relativity.

Modern Canonical Quantum General Relativity

Modern Canonical Quantum General Relativity PDF Author: Thomas Thiemann
Publisher: Cambridge University Press
ISBN: 113946759X
Category : Science
Languages : en
Pages : 739

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Book Description
This book provides a complete treatise of the canonical quantisation of general relativity and the loop quantum gravity theory. Mathematical concepts are provided, so it can be read by graduate students with a basic knowledge of quantum field theory or general relativity.

Quantum Mechanics from General Relativity

Quantum Mechanics from General Relativity PDF Author: M. Sachs
Publisher: Springer Science & Business Media
ISBN: 9400946643
Category : Science
Languages : en
Pages : 243

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Book Description
This monograph is a sequel to my earlier work, General Relativity and Matter [1], which will be referred to henceforth as GRM. The monograph, GRM, focuses on the full set of implications of General Relativity Theory, as a fundamental theory of matter in all domains, from elementary particle physics to cosmology. It is shown there to exhibit an explicit unification of the gravitational and electromagnetic fields of force with the inertial manifestations of matter, expressing the latter explicitly in terms of a covariant field theory within the structure of this general theory. This monograph will focus, primarily, on the special relativistic limit of the part of this general field theory of matter that deals with inertia, in the domain where quantum mechanics has been evoked in contemporary physics as a funda mental explanation for the behavior of elementary matter. Many of the results presented in this book are based on earlier published works in the journals, which will be listed in the Bibliography. These results will be presented here in an expanded form, with more discussion on the motivation and explanation for the theoretical development of the subject than space would allow in normal journal articles, and they will be presented in one place where there would then be a more unified and coherent explication of the subject.

Relativistic Quantum Physics

Relativistic Quantum Physics PDF Author: Tommy Ohlsson
Publisher: Cambridge University Press
ISBN: 1139504320
Category : Science
Languages : en
Pages : 311

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Book Description
Quantum physics and special relativity theory were two of the greatest breakthroughs in physics during the twentieth century and contributed to paradigm shifts in physics. This book combines these two discoveries to provide a complete description of the fundamentals of relativistic quantum physics, guiding the reader effortlessly from relativistic quantum mechanics to basic quantum field theory. The book gives a thorough and detailed treatment of the subject, beginning with the classification of particles, the Klein–Gordon equation and the Dirac equation. It then moves on to the canonical quantization procedure of the Klein–Gordon, Dirac and electromagnetic fields. Classical Yang–Mills theory, the LSZ formalism, perturbation theory, elementary processes in QED are introduced, and regularization, renormalization and radiative corrections are explored. With exercises scattered through the text and problems at the end of most chapters, the book is ideal for advanced undergraduate and graduate students in theoretical physics.

Relativistic Quantum Mechanics and Introduction to Field Theory

Relativistic Quantum Mechanics and Introduction to Field Theory PDF Author: Francisco J. Yndurain
Publisher: Springer Science & Business Media
ISBN: 3642610579
Category : Mathematics
Languages : en
Pages : 342

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Book Description
This advanced textbook supplies graduate students with a primer in quantum theory. A variety of processes are discussed with concepts such as potentials, classical current distributions, prescribed external fields dealt with in the framework of relativistic quantum mechanics. Then, in an introduction to field theory, the author emphasizes the deduction of the said potentials or currents. A modern presentation of the subject together with many exercises, unique in its unusual underlying concept of combining relativistic quantum mechanics with basic quantum field theory.

Vedic Physics

Vedic Physics PDF Author: Keshav Dev Verma
Publisher: Motilal Banarsidass
ISBN: 8120832701
Category : Philosophy
Languages : en
Pages : 326

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Book Description
The present volume on Vedic Physics by Keshav Dev Verma is indeed a unique attempt to interpret the ancient Indian literature by defining various symbols, concepts and terminology occurring in Vedic hymns and other texts. While accepting Maharsi Dayananda's view that Vedas are the repository of all true sciences, the author does examine this statement with a view to test it on the hard rock of truth. Shri Verma has selected the Sankhya-Patanjala system that explains the physical world (Universe) on the basis of Cosmic evolution; the Vaisesika-Nyaya expounds the methodology and elaborates the concepts of physics, chemistry and mechanics. Shri Verma has very systematically tried to interpret the Sankhya aphorisms and concludes that the ultimate ground to which the manifested world can be traced is Prakrti having three attributes-Sattva (existence), energy at rest or Rajas (energy that which is efficient in a phenomenon and is characterised by a tendency to move and overcome any resistance) and Tamas (mass or inertia) which resists the Rajas to do work and also resists Sattva from conscious manifestation.

Quantum Non-Locality and Relativity

Quantum Non-Locality and Relativity PDF Author: Tim Maudlin
Publisher: John Wiley & Sons
ISBN: 1444331264
Category : Science
Languages : en
Pages : 315

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Book Description
The third edition of Quantum Non-Locality and Relativity has been carefully updated to reflect significant developments, including a new chapter covering important recent work in the foundations of physics. A new edition of the premier philosophical study of Bell’s Theorem and its implication for the relativistic account of space and time Discusses Roderich Tumiulka’s explicit, relativistic theory that can reproduce the quantum mechanical violation of Bell’s inequality. Discusses the "Free Will Theorem" of John Conway and Simon Kochen Introduces philosophers to the relevant physics and demonstrates how philosophical analysis can help inform physics

Part I: Particles and Fields. Part II: Foundations of Quantum Mechanics

Part I: Particles and Fields. Part II: Foundations of Quantum Mechanics PDF Author: Arthur S. Wightman
Publisher: Springer
ISBN: 9783540572930
Category : Science
Languages : en
Pages : 576

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Book Description
The first part of this third volume of Wigner's Collected Works is devoted to his analysis of symmetries in quantum mechanics, of the relativistic wave equations, of relativistic particle theory, and of field theory. It is introduced by the masterly annotation of Arthur S. Wightman. Abner Shimony annotates the second part where the reader will find Wigner's contributions to the foundations of quantum physics and to the problems of measurement.