Progress and Visions in Quantum Theory in View of Gravity

by Felix Finster
Progress and Visions in Quantum Theory in View of Gravity
Author: Felix Finster
Publisher: Springer Nature
Total Pages: 302
Release: 2020-04-09
Genre: Science
ISBN: 3030389413
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This book focuses on a critical discussion of the status and prospects of current approaches in quantum mechanics and quantum field theory, in particular concerning gravity. It contains a carefully selected cross-section of lectures and discussions at the seventh conference “Progress and Visions in Quantum Theory in View of Gravity” which took place in fall 2018 at the Max Planck Institute for Mathematics in the Sciences in Leipzig. In contrast to usual proceeding volumes, instead of reporting on the most recent technical results, contributors were asked to discuss visions and new ideas in foundational physics, in particular concerning foundations of quantum field theory. A special focus has been put on the question of which physical principles of quantum (field) theory can be considered fundamental in view of gravity. 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.

Effects of Non-locality in Gravity and Quantum Theory

by Jens Boos
Effects of Non-locality in Gravity and Quantum Theory
Author: Jens Boos
Publisher: Springer Nature
Total Pages: 223
Release: 2021-10-28
Genre: Science
ISBN: 3030829103
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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.

Effective Spacetime

by Karen Crowther
Effective Spacetime
Author: Karen Crowther
Publisher: Springer
Total Pages: 209
Release: 2016-07-07
Genre: Science
ISBN: 3319395084
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This book discusses the notion that quantum gravity may represent the "breakdown" of spacetime at extremely high energy scales. If spacetime does not exist at the fundamental level, then it has to be considered "emergent", in other words an effective structure, valid at low energy scales. The author develops a conception of emergence appropriate to effective theories in physics, and shows how it applies (or could apply) in various approaches to quantum gravity, including condensed matter approaches, discrete approaches, and loop quantum gravity.

Analysis On Fock Spaces And Mathematical Theory Of Quantum Fields: An Introduction To Mathematical Analysis Of Quantum Fields (Second Edition)

by Asao Arai
Analysis On Fock Spaces And Mathematical Theory Of Quantum Fields: An Introduction To Mathematical Analysis Of Quantum Fields (Second Edition)
Author: Asao Arai
Publisher: World Scientific
Total Pages: 1115
Release: 2024-09-03
Genre: Mathematics
ISBN: 9811288453
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This book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and boson-fermion Fock space). It includes the mathematics of second quantization, representation theory of canonical commutation and anti-commutation relations, Bogoliubov transformations, infinite-dimensional Dirac operators and supersymmetric quantum field in an abstract form. The second half of the book, Part II, covers applications of the mathematical theories in Part I to quantum field theory. Four kinds of free quantum fields are constructed and detailed analyses are made. A simple interacting quantum field model, called the van Hove-Miyatake model, is fully analyzed in an abstract form. Moreover, a list of interacting quantum field models is presented and an introductory description to each model is given. In this second edition, a new chapter (Chapter 15) is added to describe a mathematical theory of spontaneous symmetry breaking which is an important subject in modern quantum physics.This book is a good introductory text for graduate students in mathematics or physics who are interested in the mathematical aspects of quantum field theory. It is also well-suited for self-study, providing readers a firm foundation of knowledge and mathematical techniques for more advanced books and current research articles in the field of mathematical analysis on quantum fields. Numerous problems are added to aid readers in developing a deeper understanding of the field.

Regular Black Holes

by Cosimo Bambi
Regular Black Holes
Author: Cosimo Bambi
Publisher: Springer Nature
Total Pages: 505
Release: 2023-07-06
Genre: Science
ISBN: 9819915961
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Black holes are one of the most fascinating predictions of general relativity. They are the natural product of the complete gravitational collapse of matter and today we have a body of observational evidence supporting the existence of black holes in the Universe. However, general relativity predicts that at the center of black holes there are spacetime singularities, where predictability is lost and standard physics breaks down. It is widely believed that spacetime singularities are a symptom of the limitations of general relativity and must be solved within a theory of quantum gravity. Since we do not have yet any mature and reliable candidate for a quantum gravity theory, researchers have studied toy-models of singularity-free black holes and of singularity-free gravitational collapses in order to explore possible implications of the yet unknown theory of quantum gravity. This book reviews all main models of regular black holes and non-singular gravitational collapses proposed in the literature, and discuss the theoretical and observational implications of these scenarios.

Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes)

by Remo Ruffini
Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes)
Author: Remo Ruffini
Publisher: World Scientific
Total Pages: 4880
Release: 2022-12-15
Genre: Science
ISBN: 9811269785
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The proceedings of MG16 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 46 plenary presentations, 3 public lectures, 5 round tables and 81 parallel sessions arranged during the intense six-day online meeting. All talks were recorded and are available on the ICRANet YouTube channel at the following link: www.icranet.org/video_mg16.These proceedings are a representative sample of the very many contributions made at the meeting. They contain 383 papers, among which 14 come from the plenary sessions.The material represented in these proceedings cover the following topics: accretion, active galactic nuclei, alternative theories of gravity, black holes (theory, observations and experiments), binaries, boson stars, cosmic microwave background, cosmic strings, dark energy and large scale structure, dark matter, education, exact solutions, early universe, fundamental interactions and stellar evolution, fast transients, gravitational waves, high energy physics, history of relativity, neutron stars, precision tests, quantum gravity, strong fields, and white dwarf; all of them represented by a large number of contributions.The online e-proceedings are published in an open access format.

Quantum Gravity and the Functional Renormalization Group

by Martin Reuter
Quantum Gravity and the Functional Renormalization Group
Author: Martin Reuter
Publisher: Cambridge University Press
Total Pages: 357
Release: 2019-01-03
Genre: Science
ISBN: 1107107326
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A self-contained pedagogical introduction to asymptotic safety and the functional renormalization group in quantum gravity, for graduate students and researchers.

The Possibility Principle

by Mel Schwartz
The Possibility Principle
Author: Mel Schwartz
Publisher: Sounds True
Total Pages: 200
Release: 2017-08-31
Genre: Self-Help
ISBN: 9781622038633
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How would you like to experience your life? It’s an intriguing question, and yet we’ve been conditioned to believe our life visions and goals are often unattainable—until now. With The Possibility Principle, psychotherapist Mel Schwartz offers a revolutionary approach to living the life we choose. Though science has vastly expanded our knowledge, it has also led us to adopt a worldview where we see ourselves as insignificant specks living in a mechanical universe. Now, insights from quantum physics reveal that our universe is, in fact, a vibrantly intelligent reality and that each of us plays a vital role in shaping it. In this groundbreaking book, Schwartz shows us how to integrate this new quantum worldview into our everyday lives, allowing us to transcend our limitations and open to infinite possibilities. The Possibility Principle reveals how we can apply the three core tenets of quantum physics—inseparability, uncertainty, and potentiality—to live the life we choose, free from the wounds of our past and the constraints of our old beliefs. You can learn to: Develop a mastery of your thinking as you free yourself from the replication of old thought patterns • Utilize the concept of wave collapse to realize that you are not imprisoned by your genes, brain chemistry, or past traumas • Overcome anxiety and depression through a shift of mind • Thrive in resilient relationships and develop powerful communication skills that foster empowerment and intimate connection • Embrace uncertainty to ride the waves of personal change