Effects Of Non Locality In Gravity And Quantum Theory

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Effects of Non-locality in Gravity and Quantum Theory

Author : Jens Boos
Publisher : Springer Nature
Page : 223 pages
File Size : 47,7 Mb
Release : 2021-10-28
Category : Science
ISBN : 9783030829100

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Effects of Non-locality in Gravity and Quantum Theory by Jens Boos Pdf

This thesis is devoted to the systematic study of non-local theories that respect Lorentz invariance and are devoid of new, unphysical degrees of freedom. Such theories are attractive for phenomenological applications since they are mostly unconstrained by current experiments. Non-locality has played an increasingly important role in the physics of the last decades, appearing in effective actions in quantum field theory, and arising naturally in string theory and non-commutative geometry. It may even be a necessary ingredient for quantum theories of gravity. It is a feature of quantum entanglement, and may even solve the long-standing black hole information loss problem. “Non-locality” is a broad concept with many promising and fruitful applications in theoretical and mathematical physics. After a historical and pedagogical introduction into the concept of non-locality the author develops the notion of non-local Green functions to study various non-local weak-field problems in quantum mechanics, quantum field theory, gravity, and quantum field theory in curved spacetime. This thesis fills a gap in the literature by providing a self-contained exploration of weak-field effects in non-local theories, thereby establishing a “non-local intuition” which may serve as a stepping stone for studies of the full, non-linear problem of non-locality.

Classical and Quantum Nonlocality

Author : J. N. Goldberg
Publisher : World Scientific
Page : 258 pages
File Size : 45,5 Mb
Release : 2000
Category : Science
ISBN : 9789812792938

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Classical and Quantum Nonlocality by J. N. Goldberg Pdf

This book provides an up-to-date understanding of the progress and current problems of the interplay of nonlocality in the classical theories of gravitation and quantum theory. These problems lie on the border between general relativity and quantum physics, including quantum gravity.

New Developments on Fundamental Problems in Quantum Physics

Author : M. Ferrero,Alwyn van der Merwe
Publisher : Springer Science & Business Media
Page : 447 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401158862

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New Developments on Fundamental Problems in Quantum Physics by M. Ferrero,Alwyn van der Merwe Pdf

Quantum theory is one of the most fascinating and successful constructs in the intellectual history of mankind. Nonetheless, the theory has very shaky philosophical foundations. This book contains thoughtful discussions by eminent researchers of a spate of experimental techniques newly developed to test some of the stranger predictions of quantum physics. The advances considered include recent experiments in quantum optics, electron and ion interferometry, photon down conversion in nonlinear crystals, single trapped ions interacting with laser beams, atom-field coupling in micromaser cavities, quantum computation, quantum cryptography, decoherence and macroscopic quantum effects, the quantum state diffusion model, quantum gravity, the quantum mechanics of cosmology and quantum non-locality along with the continuing debate surrounding the interpretation of quantum mechanics. Audience: The book is intended for physicists, philosophers of science, mathematicians, graduate students and those interested in the foundations of quantum theory.

Quantum Gravity

Author : Domenico J. W. Giulini,Claus Kiefer,Claus Lämmerzahl
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 55,8 Mb
Release : 2003-09-16
Category : Science
ISBN : 354040810X

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Quantum Gravity by Domenico J. W. Giulini,Claus Kiefer,Claus Lämmerzahl Pdf

The relation between quantum theory and the theory of gravitation remains one of the most outstanding unresolved issues of modern physics. According to general expectation, general relativity as well as quantum (field) theory in a fixed background spacetime cannot be fundamentally correct. Hence there should exist a broader theory comprising both in appropriate limits, i.e., quantum gravity. This book gives readers a comprehensive introduction accessible to interested non-experts to the main issues surrounding the search for quantum gravity. These issues relate to fundamental questions concerning the various formalisms of quantization; specific questions concerning concrete processes, like gravitational collapse or black-hole evaporation; and the all important question concerning the possibility of experimental tests of quantum-gravity effects.

Quantum Gravity in Four Dimensions

Author : Giampiero Esposito
Publisher : Nova Publishers
Page : 176 pages
File Size : 50,9 Mb
Release : 2001
Category : Science
ISBN : 1590330005

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Quantum Gravity in Four Dimensions by Giampiero Esposito Pdf

Main section headings: Ideas and Problems in Quantum Gravity; On Ellipticity and Quantum Gravity; Non-Local Boundary Data in Quantum Gravity; Non-Locality and Ellipticity for Gauge Theories; New Kernels in Quantum Gravity; Quantum Gravity from First Principles; Quantum Gravity and Spectral Geometry; Bibliography; Index.

Quantum Nonlocality

Author : Lev Vaidman
Publisher : MDPI
Page : 238 pages
File Size : 44,5 Mb
Release : 2019-06-12
Category : Science
ISBN : 9783038979487

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Quantum Nonlocality by Lev Vaidman Pdf

This book presents the current views of leading physicists on the bizarre property of quantum theory: nonlocality. Einstein viewed this theory as “spooky action at a distance” which, together with randomness, resulted in him being unable to accept quantum theory. The contributions in the book describe, in detail, the bizarre aspects of nonlocality, such as Einstein–Podolsky–Rosen steering and quantum teleportation—a phenomenon which cannot be explained in the framework of classical physics, due its foundations in quantum entanglement. The contributions describe the role of nonlocality in the rapidly developing field of quantum information. Nonlocal quantum effects in various systems, from solid-state quantum devices to organic molecules in proteins, are discussed. The most surprising papers in this book challenge the concept of the nonlocality of Nature, and look for possible modifications, extensions, and new formulations—from retrocausality to novel types of multiple-world theories. These attempts have not yet been fully successful, but they provide hope for modifying quantum theory according to Einstein’s vision.

Beyond the Quantum

Author : Theo M. Nieuwenhuizen
Publisher : World Scientific
Page : 399 pages
File Size : 55,6 Mb
Release : 2007
Category : Science
ISBN : 9789812771186

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Beyond the Quantum by Theo M. Nieuwenhuizen Pdf

Already Einstein could never see quantum mechanics as a complete theory. Nowadays, many researchers, including 't Hooft, view quantum mechanics as a statistical description of some underlying reality. The workshop Beyond the Quantum, organized in Spring 2006 at the Lorentz Center in Leiden, The Netherlands, was one of the first meetings completely devoted to physics that may need an explanation beyond quantum mechanics. A broad variety of subjects was covered. The present book reflects this. Sample Chapter(s). Chapter 1: The Mathematical Basis for Deterministic Quantum Mechanics (267 KB). Contents: Introductions: The Mathematical Basis for Deterministic Quantum Mechanics (G 't Hooft); What Did We Learn from Quantum Gravity? (A Ashtekar); BoseOCoEinstein Condensates and EPR Quantum Non-Locality (F Lalo1/2); The Quantum Measurement Process: Lessons from an Exactly Solvable Model (A E Allahverdyan et al.); Quantum Mechanics and Quantum Information: POVMs: A Small but Important Step Beyond Standard Quantum Mechanics (W M de Muynck); State Reduction by Measurements with a Null Result (G Nienhuis); Solving Open Questions in the BoseOCoEinstein Condensation of an Ideal Gas via a Hybrid Mixture of Laser and Statistical Physics (M Kim et al.); Long Distance Correlations and Bell Inequalities: Fair Sampling vs No-Signalling Principle in EPR Experiments (G Adenier & A Yu Khrennikov); Mathematical Foundations: Where the Mathematical Structure of Quantum Mechanics Comes From (G M D'Ariano); Phase Space Description of Quantum Mechanics and Non-Commutative Geometry: Wigner-Moyal and Bohm in a Wider Context (B J Hiley); Quantum Mechanics as Simple Algorithm for Approximation of Classical Integrals (A Yu Khrennikov); Stochastic Electrodynamics: Some Quantum Experiments from the Point of View of Stochastic Electrodynamics (V apicka et al.); Models for the Electron: Rotating Hopf-Kinks: Oscillators in the Sense of de Broglie (U Enz); The Electron and the Neutrino as Solitos in Classical Electromagnetism (Th M Nieuwenhuizen); Philosophical Considerations; Round Table; and other papers. Readership: Postgraduates and researchers in quantum physics."

Quantum Fluctuations of Spacetime

Author : Lawrence B. Crowell
Publisher : World Scientific
Page : 388 pages
File Size : 49,8 Mb
Release : 2005
Category : Science
ISBN : 9789812565150

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Quantum Fluctuations of Spacetime by Lawrence B. Crowell Pdf

Three key aspects of quantum gravity are considered in this book: phenomenology, potential experimental aspects and foundational theory. The phenomenology is the treatment of metric quantum fluctuations as torsional curves that deviate from classical expectations. This leads to possible experimental configurations that may detect such fluctuations. Most of these proposed experiments are quantum optical measurements of subtle quantum gravity effects in the interaction of photons and atoms. The foundational discussions attempt to find an substratum to string theories, which are motivated by the phenomenological treatment. Quantum gravity is not the quantization of general relativity, but is instead the embedding of quantum theory and gravitation into a more fundamental field theoretic framework.

Quantum Concepts in Space and Time

Author : Roger Penrose,C. J. Isham
Publisher : Oxford University Press, USA
Page : 376 pages
File Size : 42,5 Mb
Release : 1986
Category : Philosophy
ISBN : UOM:39015015757514

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Quantum Concepts in Space and Time by Roger Penrose,C. J. Isham Pdf

This book is based on a conference held at Oxford in the Spring of 1984 to discuss Quantum Gravity. As an assessment of the present status of quantum theory which also considers future developments, this book should provide much stimulating material for both researchers and post graduate students in theortical and mathematical physics.

Gravitational Theories Beyond General Relativity

Author : Iberê Kuntz
Publisher : Springer
Page : 82 pages
File Size : 47,6 Mb
Release : 2019-05-21
Category : Science
ISBN : 9783030211974

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Gravitational Theories Beyond General Relativity by Iberê Kuntz Pdf

Despite the success of general relativity in explaining classical gravitational phenomena, several problems at the interface between gravitation and high energy physics still remain open. The purpose of this thesis is to explore quantum gravity and its phenomenological consequences for dark matter, gravitational waves and inflation. A new formalism to classify gravitational theories based on their degrees of freedom is introduced and, in light of this classification, it is argued that dark matter is no different from modified gravity. Gravitational waves are shown to be damped due to quantum degrees of freedom. The consequences for gravitational wave events are also discussed. The non-minimal coupling of the Higgs boson to gravity is studied in connection with Starobinsky inflation and its implications for the vacuum instability problem is analyzed.

Introduction to Quantum Effects in Gravity

Author : Viatcheslav Mukhanov,Sergei Winitzki
Publisher : Cambridge University Press
Page : 128 pages
File Size : 52,8 Mb
Release : 2007-06-14
Category : Science
ISBN : 9781139788946

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Introduction to Quantum Effects in Gravity by Viatcheslav Mukhanov,Sergei Winitzki Pdf

This book, first published in 2007, is an introductory textbook on quantum field theory in gravitational backgrounds intended for undergraduate and beginning graduate students in the fields of theoretical astrophysics, cosmology, particle physics, and string theory. The book covers the basic (but essential) material of quantization of fields in an expanding universe and quantum fluctuations in inflationary spacetime. It also contains a detailed explanation of the Casimir, Unruh, and Hawking effects, and introduces the method of effective action used for calculating the back-reaction of quantum systems on a classical external gravitational field. The broad scope of the material covered will provide the reader with a thorough perspective of the subject. Every major result is derived from first principles and thoroughly explained. The book is self-contained and assumes only a basic knowledge of general relativity. Exercises with detailed solutions are provided throughout the book.

Quantum Chance and Non-locality

Author : W. Michael Dickson
Publisher : Cambridge University Press
Page : 268 pages
File Size : 41,7 Mb
Release : 1998-04-02
Category : Philosophy
ISBN : 9780521581271

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Quantum Chance and Non-locality by W. Michael Dickson Pdf

The book will appeal to anyone with an interest in the interpretation of quantum mechanics.

Quantum Gravity

Author : Domenico J. W. Giulini,Claus Kiefer,Claus Lämmerzahl
Publisher : Springer
Page : 402 pages
File Size : 53,5 Mb
Release : 2014-03-12
Category : Science
ISBN : 366214400X

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Quantum Gravity by Domenico J. W. Giulini,Claus Kiefer,Claus Lämmerzahl Pdf

The relation between quantum theory and the theory of gravitation remains one of the most outstanding unresolved issues of modern physics. According to general expectation, general relativity as well as quantum (field) theory in a fixed background spacetime cannot be fundamentally correct. Hence there should exist a broader theory comprising both in appropriate limits, i.e., quantum gravity. This book gives readers a comprehensive introduction accessible to interested non-experts to the main issues surrounding the search for quantum gravity. These issues relate to fundamental questions concerning the various formalisms of quantization; specific questions concerning concrete processes, like gravitational collapse or black-hole evaporation; and the all important question concerning the possibility of experimental tests of quantum-gravity effects.

Nonlocality in Quantum Physics

Author : Andrey Anatoljevich Grib,Waldyr Alves Rodrigues Jr.
Publisher : Springer Science & Business Media
Page : 223 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461546870

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Nonlocality in Quantum Physics by Andrey Anatoljevich Grib,Waldyr Alves Rodrigues Jr. Pdf

The nonlocality phenomena exhibited by entangled quantum systems are certainly one of the most extraordinary aspects of quantum theory. This book discusses this phe nomenon according to several points of view, i.e., according to different interpretations of the mathematics of the quantum formalism. The several interpretations of the Copenhagen interpretation, the many worlds, the de Broglie-Bohm, quantum logics, the decohering by the environment approach and the histories approach interpretations are scrutinized and criticized in detail. Recent results on cryptography, quantum bit commitment, quantum erasers and teleportation are also presented and discussed. In preparing the book we benefited from discussions with many people, but we would like, in particular, to express our gratitude to Professor B. d'Espagnat for his useful comments and suggestions. We are grateful also to Ms. L. Gentry EI-Dash for the English revision, to Dr. 1. E. Maiorino for the production of the figures and a careful reading of the manuscript, and for the statI of Plenum for advice and for having produced a nice book. Finally, the authors thank FAPESP (contract no. I 99612657-0) for a grant making this book possible. A. A. ORIB AND W. A. RODRIGUES, JR.

Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics

Author : Khavtgain Namsrai,K.H. Namsrai
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 45,5 Mb
Release : 1986
Category : Gardening
ISBN : 9027720010

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Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics by Khavtgain Namsrai,K.H. Namsrai Pdf

over this stochastic space-time leads to the non local fields considered by G. V. Efimov. In other words, stochasticity of space-time (after being averaged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlocality) in all physical processes. Moreover, the universal character of this hypothesis of space-time at small distances enables us to re-interpret the dynamics of stochastic particles and to study some important problems of the theory of stochastic processes [such as the relativistic description of diffusion, Feynman type processes, and the problem of the origin of self-turbulence in the motion of free particles within nonlinear (stochastic) mechanics]. In this direction our approach (Part II) may be useful in recent developments of the stochastic interpretation of quantum mechanics and fields due to E. Nelson, D. Kershaw, I. Fenyes, F. Guerra, de la Pena-Auerbach, J. -P. Vigier, M. Davidson, and others. In particular, as shown by N. Cufaro Petroni and J. -P. Vigier, within the discussed approach, a causal action-at-distance interpretation of a series of experiments by A. Aspect and his co-workers indicating a possible non locality property of quantum mechanics, may also be obtained. Aspect's results have recently inspired a great interest in different nonlocal theories and models devoted to an understanding of the implications of this nonlocality. This book consists of two parts.