Progress and Visions in Quantum Theory in View of Gravity
Progress and Visions in Quantum Theory in View of Gravity

Author: Felix Finster

Publisher: Springer Nature

Published: 2020-04-09

Total Pages: 302

ISBN-13: 3030389413

DOWNLOAD EBOOK

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
Effects of Non-locality in Gravity and Quantum Theory

Author: Jens Boos

Publisher: Springer Nature

Published: 2021-10-28

Total Pages: 223

ISBN-13: 3030829103

DOWNLOAD EBOOK

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
Effective Spacetime

Author: Karen Crowther

Publisher: Springer

Published: 2016-07-07

Total Pages: 209

ISBN-13: 3319395084

DOWNLOAD EBOOK

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.

Quantum Gravity and the Functional Renormalization Group
Quantum Gravity and the Functional Renormalization Group

Author: Martin Reuter

Publisher: Cambridge University Press

Published: 2019-01-03

Total Pages: 357

ISBN-13: 1107107326

DOWNLOAD EBOOK

A self-contained pedagogical introduction to asymptotic safety and the functional renormalization group in quantum gravity, for graduate students and researchers.

Perturbative Algebraic Quantum Field Theory
Perturbative Algebraic Quantum Field Theory

Author: Kasia Rejzner

Publisher: Springer

Published: 2016-03-16

Total Pages: 186

ISBN-13: 3319259016

DOWNLOAD EBOOK

Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds. We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity. The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.

The Possibility Principle
The Possibility Principle

Author: Mel Schwartz

Publisher: Sounds True

Published: 2017-08-31

Total Pages: 200

ISBN-13: 9781622038633

DOWNLOAD EBOOK

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

The Singular Universe and the Reality of Time
The Singular Universe and the Reality of Time

Author: Roberto Mangabeira Unger

Publisher: Cambridge University Press

Published: 2015

Total Pages: 567

ISBN-13: 1107074061

DOWNLOAD EBOOK

Roberto Mangabeira Unger and Lee Smolin argue for a revolution in our cosmological ideas. Ideal for non-scientists, physicists and cosmologists.

Physics Meets Philosophy at the Planck Scale
Physics Meets Philosophy at the Planck Scale

Author: Craig Callender

Publisher: Cambridge University Press

Published: 2001-01-29

Total Pages: 380

ISBN-13: 9780521664455

DOWNLOAD EBOOK

Was the first book to examine the exciting area of overlap between philosophy and quantum mechanics with chapters by leading experts from around the world.

The Physics of Quantum Mechanics
The Physics of Quantum Mechanics

Author: James Binney

Publisher: Oxford University Press, USA

Published: 2013-12

Total Pages: 408

ISBN-13: 0199688575

DOWNLOAD EBOOK

This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.

100 Years of Gravity and Accelerated Frames
100 Years of Gravity and Accelerated Frames

Author: Jong-Ping Hsu

Publisher: World Scientific

Published: 2005

Total Pages: 662

ISBN-13: 9812563350

DOWNLOAD EBOOK

This collection of papers presents ideas and problems arising over the past 100 years regarding classical and quantum gravity, gauge theories of gravity, and spacetime transformations of accelerated frames. Both Einstein's theory of gravity and the Yang-Mills theory are gauge invariant. The invariance principles in physics have transcended both kinetic and dynamic properties and are at the very heart of our understanding of the physical world. In this spirit, this book attempts to survey the development of various formulations for gravitational and Yang-Mills fields and spacetime transformations of accelerated frames, and to reveal their associated problems and limitations.The aim is to present some of the leading ideas and problems discussed by physicists and mathematicians. We highlight three aspects: formulations of gravity as a Yang-Mills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; spacetime properties and the physics of fields and particles in accelerated frames of reference.These unfulfilled aspects of Einstein and Yang-Mills' profound thoughts present a great challenge to physicists and mathematicians in the 21st century.