A Primer on String Theory

Covering fundamental concepts including how strings interact with each other, this book is perfect for students with no prior knowledge as well as scholars from other disciplines.

Author: Volker Schomerus

Publisher: Cambridge University Press

ISBN: 9781107160019

Category: Science

Page: 240

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Since its conception in the 1960s, string theory has been hailed as one of the most promising routes we have to unify quantum mechanics and general relativity. This book provides a concise introduction to string theory explaining central concepts, mathematical tools and covering recent developments in physics including compactifications and gauge/string dualities. With string theory being a multidisciplinary field interfacing with high energy physics, mathematics and quantum field theory, this book is ideal for both students with no previous knowledge of the field and scholars from other disciplines who are looking for an introduction to basic concepts.

String Theory in a Nutshell

This fully updated edition features an entirely new chapter on flux compactifications in string theory, and the chapter on AdS/CFT has been substantially expanded by adding many applications to diverse topics.

Author: Elias Kiritsis

Publisher: Princeton University Press

ISBN: 9780691188966

Category: Science

Page: 888

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The essential introduction to modern string theory—now fully expanded and revised String Theory in a Nutshell is the definitive introduction to modern string theory. Written by one of the world’s leading authorities on the subject, this concise and accessible book starts with basic definitions and guides readers from classic topics to the most exciting frontiers of research today. It covers perturbative string theory, the unity of string interactions, black holes and their microscopic entropy, the AdS/CFT correspondence and its applications, matrix model tools for string theory, and more. It also includes 600 exercises and serves as a self-contained guide to the literature. This fully updated edition features an entirely new chapter on flux compactifications in string theory, and the chapter on AdS/CFT has been substantially expanded by adding many applications to diverse topics. In addition, the discussion of conformal field theory has been extensively revised to make it more student-friendly. The essential one-volume reference for students and researchers in theoretical high-energy physics Now fully expanded and revised Provides expanded coverage of AdS/CFT and its applications, namely the holographic renormalization group, holographic theories for Yang-Mills and QCD, nonequilibrium thermal physics, finite density physics, and entanglement entropy Ideal for mathematicians and physicists specializing in theoretical cosmology, QCD, and novel approaches to condensed matter systems An online illustration package is available to professors

Introduction to Superstring Theory

In this book, based on lectures by the author at the K.U.Leuven and at the University of Padova, Elias Kiritsis takes the reader through the developments of the last 15 years: conformal field theory, the various superstrings and their ...

Author: Elias Kiritsis

Publisher: Cornell University Press

ISBN: 9061868947

Category: Science

Page: 315

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String Theory, now almost 30 years of age, was partly forgotten but came back to the forefront of theoretical particle physics in 1984. In this book, based on lectures by the author at the K.U.Leuven and at the University of Padova, Elias Kiritsis takes the reader through the developments of the last 15 years: conformal field theory, the various superstrings and their spectra, compactifications, and the effective description of low energy degrees of freedom. It ends by showing a glimpse of the most recent developments, dualities of strings and higher dimensional objects, that influence both traditional field theory and present day mathematics. Readership: Theoretical physicists, and mathematicians with an interest in modern string theory. 1. Introduction 2. Historical perspective 3. Classical string theory 3.1. The point particle 3.2. Relativistic strings 3.3. Oscillator expansions 4. Quantization of the bosonic string 4.1. Covariant canonical quantization 4.2. Light-cone quantization 4.3. Spectrum of the bosonic string 4.4. Path integral quantization 4.5. Topologically non-trivial world-sheets 4.6. BRST primer 4.7. BRST in string theory and the physical spectrum 4.8. Interactions and loop amplitudes 5. Conformal field theory 5.1. Conformal transformations 5.2. Conformally invariant field theory 5.3. Radial quantization 5.4. Example: the free boson 5.5. The central charge 5.6. The free fermion 5.7. Mode expansions 5.8. The Hilbert space 5.9. Representations of the conformal algebra 5.10. Affine algebras 5.11. Free fermions and O(N) affine symmetry 5.12. N=1 superconformal symmetry 5.13. N=2 superconformal symmetry 5.14. N=4 superconformal symmetry 5.15. The CFT of ghosts 6. CFT on the torus 6.1. Compact scalars 6.2. Enhanced symmetry and the string Higgs effect 6.3. T-duality 6.4. Free fermions on the torus 6.5. Bosonization 6.6. Orbifolds 6.7. CFT on higher-genus Riemann surfaces 7. Scattering amplitudes and vertex operators of bosonic strings 8. Strings in background fields and low-energy effective actions 9. Superstrings and supersymmetry 9.1. Closed (type-II) superstrings 9.2. Massless R-R states 9.3. Type-I superstrings 9.4. Heterotic superstrings 9.5. Superstring vertex operators 9.6. Supersymmetric effective actions 10. Anomalies 11. Compactification and supersymmetry breaking 11.1. Toroidal compactifications 11.2. Compactification on non-trivial manifolds 11.3. World-sheet versus spacetime supersymmetry 11.4. Heterotic orbifold compactifications with N=2 supersymmetry 11.5. Spontaneous supersymmetry breaking 11.6. Heterotic N=1 theories and chirality in four dimensions 11.7. Orbifold compactifications of the type-II string 12. Loop corrections to effective couplings in string theory 12.1. Calculation of gauge thresholds 12.2. On-shell infrared regularization 12.3. Gravitational thresholds 12.4. Anomalous U(1)?s 12.5. N=1,2 examples of thresholds corrections 12.6. N=2 universality of thresholds 12.7. Unification 13. Non-perturbative string dualities: a foreword 13.1. Antisymmetric tensors and p-branes 13.2. BPS states and bounds 13.3. Heterotic/type-I duality in ten dimensions 13.4. Type-IIA versus M-theory 13.5. M-theory and the E8xE8 heterotic string 13.6. Self-duality of the type-IIB string 13.7. D-branes are the type-II R-R charged states 13.8. D-brane actions 13.9. Heterotic/type-II duality in six and four dimensions 14. Outlook Appendices A. Theta functions B. Toroidal lattice sums C. Toroidal Kaluza-Klein reduction D. N=1,2,4, D=4 supergravity coupled to matter E. BPS Multiplets and helicity supertrace formulae F. Modular forms G. Helicity string partition functions H. Electric-Magnetic duality in D=4 References ISBN10:9061868947 Imprint:Leuven University Press Language: English NUR * 925 Theoretische natuurkunde * Number of pages: v-316 * Width: 16 cm * Height: 24 cm * Elias Kiritsis, Author (all publications from this author/editor with Leuven University Press)

A Primer on String Theory

Strings and High Energy Scattering Throughout the last few sections we ... In fact, string theory in an AdS background has provided all-loop results of ...

Author: Volker Schomerus

Publisher: Cambridge University Press

ISBN: 9781108211215

Category: Science

Page:

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Since its conception in the 1960s, string theory has been hailed as one of the most promising routes we have to unify quantum mechanics and general relativity. This book provides a concise introduction to string theory explaining central concepts, mathematical tools and covering recent developments in physics including compactifications and gauge/string dualities. With string theory being a multidisciplinary field interfacing with high energy physics, mathematics and quantum field theory, this book is ideal for both students with no previous knowledge of the field and scholars from other disciplines who are looking for an introduction to basic concepts.

String Field Theory

After reading this book, the reader is able to study the applications from the literature. The book is organized in two parts.

Author: Harold Erbin

Publisher: Springer

ISBN: 303065320X

Category: Science

Page: 421

View: 642

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This textbook provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this approach is intuitive and could be pushed far due to the exceptional properties of two-dimensional theories, it becomes cumbersome for some questions or even fails at a more fundamental level. These motivations have led to the development of SFT, a description of string theory using the field theory formalism (second-quantization). As a field theory, SFT provides a rigorous and constructive formulation of string theory. The main focus of the book is the construction of the closed bosonic SFT. The accent is put on providing the reader with the foundations, conceptual understanding and intuition of what SFT is. After reading this book, the reader is able to study the applications from the literature. The book is organized in two parts. The first part reviews the notions of the worldsheet theory that are necessary to build SFT (worldsheet path integral, CFT and BRST quantization). The second part starts by introducing general concepts of SFT from the BRST quantization. Then, it introduces off-shell string amplitudes before providing a Feynman diagrams interpretation from which the building blocks of SFT are extracted. After constructing the closed SFT, the author outlines the proofs of several important properties such as background independence, unitarity and crossing symmetry. Finally, the generalization to the superstring is also discussed.

Strings and Fundamental Physics

The contributions to this book have been selected and arranged in such a way as to form a self-contained, graduate level textbook.

Author: Marco Baumgartl

Publisher: Springer Science & Business Media

ISBN: 9783642259463

Category: Science

Page: 291

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The basic idea, simple and revolutionary at the same time, to replace the concept of a point particle with a one-dimensional string, has opened up a whole new field of research. Even today, four decades later, its multifaceted consequences are still not fully conceivable. Up to now string theory has offered a new way to view each particle: as different excitations of the same fundamental object. It has celebrated success in discovering the graviton in its spectrum, and it has naturally led scientists to posit space-times with more than four dimensions—which in turn has triggered numerous interesting developments in fields as varied as condensed matter physics and pure mathematics. This book collects pedagogical lectures by leading experts in string theory, introducing the non-specialist reader to some of the newest developments in the field. The carefully selected topics are at the cutting edge of research in string theory and include new developments in topological strings, or AdS/CFT dualities, as well as newly emerging subfields such as doubled field theory and holography in the hydrodynamic regime. The contributions to this book have been selected and arranged in such a way as to form a self-contained, graduate level textbook.

The Quantum Vacuum

Acclaimed mathematical physicist and natural philosopher Luciano Boi expounds the quantum vacuum, exploring the meaning of nothingness and its relationship with physical reality.

Author: Luciano Boi

Publisher: JHU Press

ISBN: 9781421402475

Category: Science

Page: 222

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A vacuum, classically understood, contains nothing. The quantum vacuum, on the other hand, is a seething cauldron of nothingness: particle pairs going in and out of existence continuously and rapidly while exerting influence over an enormous range of scales. Acclaimed mathematical physicist and natural philosopher Luciano Boi expounds the quantum vacuum, exploring the meaning of nothingness and its relationship with physical reality. Boi first provides a deep analysis of the interaction between geometry and physics at the quantum level. He next describes the relationship between the microscopic and macroscopic structures of the world. In so doing, Boi sheds light on the very nature of the universe, stressing in an original and profound way the relationship between quantum geometry and the internal symmetries underlying the behavior of matter and the interactions of forces. Beyond the physics and mathematics of the quantum vacuum, Boi offers a profoundly philosophical interpretation of the concept. Plato and Aristotle did not believe a vacuum was possible. How could nothing be something, they asked? Boi traces the evolution of the quantum vacuum from an abstract concept in ancient Greece to its fundamental role in quantum field theory and string theory in modern times. The quantum vacuum is a complex entity, one essential to understanding some of the most intriguing issues in twentieth-century physics, including cosmic singularity, dark matter and energy, and the existence of the Higgs boson particle. Boi explains with simple clarity the relevant theories and fundamental concepts of the quantum vacuum. Theoretical, mathematical, and particle physicists, as well as researchers and students of the history and philosophy of physics, will find The Quantum Vacuum to be a stimulating and engaging primer on the topic.

Hiding in the Mirror

An exploration of mankind's fascination with worlds beyond our own-by the bestselling author of The Physics of Star Trek Lawrence Krauss -an international leader in physics and cosmology-examines our long and ardent romance with parallel ...

Author: Lawrence M. Krauss

Publisher: Penguin

ISBN: 9781440627330

Category: Science

Page: 288

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An exploration of mankind's fascination with worlds beyond our own-by the bestselling author of The Physics of Star Trek Lawrence Krauss -an international leader in physics and cosmology-examines our long and ardent romance with parallel universes, veiled dimensions, and regions of being that may extend tantalizingly beyond the limits of our perception. Krauss examines popular culture's current embrace (and frequent misunderstanding) of such topics as black holes, life in other dimensions, strings, and some of the more extraordinary new theories that propose the existence of vast extra dimensions alongside our own. BACKCOVER: "An astonishing and brilliantly written work of popular science." -Science a GoGo "A brilliant, thrilling book . . . You'll have so much fun reading that you'll hardly notice you're getting a primer on contemporary physics and cosmology." -Walter Isaacson, author of Benjamin Franklin: An American Life

Symmetry and the Standard Model

This book represents the first in a series designed to assist students in the process of transitioning from coursework to research in particle physics.

Author: Matthew Robinson

Publisher: Springer Science & Business Media

ISBN: 9781441982674

Category: Science

Page: 327

View: 802

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While theoretical particle physics is an extraordinarily fascinating field, the incredibly fast pace at which it moves along, combined with the huge amount of background information necessary to perform cutting edge research, poses a formidable challenge for graduate students. This book represents the first in a series designed to assist students in the process of transitioning from coursework to research in particle physics. Rather than reading literally dozens of physics and mathematics texts, trying to assimilate the countless ideas, translate notations and perspectives, and see how it all fits together to get a holistic understanding, this series provides a detailed overview of the major mathematical and physical ideas in theoretical particle physics. Ultimately the ideas will be presented in a unified, consistent, holistic picture, where each topic is built firmly on what has come before, and all topics are related in a clear and intuitive way. This introductory text on quantum field theory and particle physics provides both a self-contained and complete introduction to not only the necessary physical ideas, but also a complete introduction to the necessary mathematical tools. Assuming minimal knowledge of undergraduate physics and mathematics, this book lays both the mathematical and physical groundwork with clear, intuitive explanations and plenty of examples. The book then continues with an exposition of the Standard Model of Particle Physics, the theory that currently seems to explain the universe apart from gravity. Furthermore, this book was written as a primer for the more advanced mathematical and physical ideas to come later in this series.

The World of Particles

Written for readers who would like to explore the world of particles and understand the ultimate theory of the universe with minimal mathematical understanding, this book describes the building blocks of our universe and the associated ...

Author: Pradyumn

Publisher: Notion Press

ISBN: 9781648999505

Category: Science

Page: 90

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Written for readers who would like to explore the world of particles and understand the ultimate theory of the universe with minimal mathematical understanding, this book describes the building blocks of our universe and the associated theories. The book welcomes technical as well as non-technical readers to enjoy and explore the world of particles. The World of Particles provides the recipe to build our universe. It describes the contemporary efforts by the scientists to unveil Physics beyond the Standard Model. It describes the Classical Field Theory and Quantum Field Theory (QFT), which are the modern developments in Particle Physics. It builds a strong base of various field theories like Quantum Electrodynamics (QED), Quantum Chromodynamics (QCD), Quantum Flavordynamics (QFD) and Quantum Gravity. It introduces the reader with Feynman diagrams, CPT-symmetry, Higgs mechanism, String Theory, Loop Quantum Gravity and helps to build a foundation to understand the unification of forces and the ultimate theory of the universe i.e. the Theory of Everything.

Quantum Mechanics and Quantum Field Theory

Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum ...

Author: Jonathan Dimock

Publisher: Cambridge University Press

ISBN: 9781139497480

Category: Science

Page:

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Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

String Field Theory

M. Kaku, Introduction to Superstrings and M-Theory (Springer, Berlin, 1999) 15. ... V. Schomerus, A Primer on String Theory. English. 1st edn.

Author: Harold Erbin

Publisher: Springer Nature

ISBN: 9783030653217

Category:

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An Introduction to String Theory and D Brane Dynamics

M.B. Green and J.H. Schwarz, “Supersymmetrical Dual String Theory”, Nucl. Phys. ... C.V. Johnson, “D-Brane Primer”, in: Strings, Branes and Gravity, eds.

Author: Richard J Szabo

Publisher: World Scientific

ISBN: 9781783260836

Category: Science

Page: 140

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This invaluable book provides a quick introduction to the rudiments of perturbative string theory and a detailed introduction to the more current topic of D-brane dynamics. The presentation is very pedagogical, with much of the technical detail streamlined. The rapid but highly coherent introduction to the subject is perhaps what distinguishes this book from other string theory or D-brane books. The material is based on mini-courses delivered by the author at various summer schools in theoretical high energy physics, so its actual level has been appropriately tested. Contents:A Brief History of String TheoryClassical String TheoryQuantization of the Bosonic StringSuperstringsRamond–Ramond Charges and T-DualityD-Branes and Gauge TheoryD-Brane DynamicsRamond–Ramond Couplings of D-Branes Readership: Researchers and graduate students in high energy, mathematical and theoretical physics. Keywords:String Theory;D-Branes;Quantum Gravity;Unified Field TheoryReviews:“The author has strong mathematical sensibilities and one can discern these in his style. All in all, this is worthwhile readership for any beginning string theorist.”Mathematical Reviews

An Introduction to String Theory and D Brane Dynamics

M.B. Green and J.H. Schwarz, “Supersymmetrical Dual String Theory”, Nucl. Phys. ... C.V. Johnson, “D-Brane Primer”, in: Strings, Branes and Gravity, eds.

Author: Richard J Szabo

Publisher: World Scientific

ISBN: 9781908977908

Category: Science

Page: 164

View: 536

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This invaluable book provides a quick introduction to the rudiments of perturbative string theory and a detailed introduction to the more current topic of D-brane dynamics. The presentation is very pedagogical, with much of the technical detail streamlined. The rapid but highly coherent introduction to the subject is perhaps what distinguishes this book from other string theory or D-brane books. This second edition includes an additional appendix with solutions to the exercises, thus expanding on some of the technical material and making the book more appealing for use in lecture courses. The material is based on mini-courses in theoretical high energy physics delivered by the author at various summer schools, so its actual level has been appropriately tested. Contents:A Brief History of String TheoryClassical String TheoryQuantization of the Bosonic StringSuperstringsRamond–Ramond Charges and T-DualityD-Branes and Gauge TheoryD-Brane DynamicsRamond–Ramond Couplings of D-BranesSolutions to Exercises Readership: Students and professionals in physics. Keywords:String Theory;D-Branes

Itep Lectures On Particle Physics And Field Theory In 2 Vols

Shifman has been an active participant and significant contributor in the development of the ideas presented in this book. This accounts for the historical remarks and digressions interspersed in the book, enhancing its pedagogical role.

Author: Shifman Misha

Publisher: World Scientific

ISBN: 9789814499019

Category: Science

Page: 916

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For almost two decades Prof. Shifman, a clear and pedagogical expositor, has been giving review lectures on frontier topics in theoretical high energy physics. This two-volume book is a collection of some of the best of those lectures. The lectures written in the 1980's and early 1990's have been revised and updated specifically for this publication. The lectures in this book are intended for beginners - graduate students and young researchers - who are about to delve into the intricacies of the theory. They were used by the author in his course ';Advanced Modern Field Theory and Its Applications';, given in the academic year 1994/95 at the University of Minnesota.A wide range of key topics is covered. In Volume 1, the first two chapters are devoted to quantum chromodynamics as the theory of hadrons. The author gives an in-depth discussion of a variety ofpowerful methods based on Wilson's operator product expansion. Chapter 3 (written together with V Novikov, A Vainshtein, and V Zakharov) is the most systematic and pedagogical presentation of instantons in the gauge theories one can find in the literature. Chapter 4 introduces supersymmetry. Chapter 5, concluding this volume, reviews the fascinating dynamics of supersymmetric gauge theories in the strong coupling regime. Chapter 6, which opens Volume 2, is a culmination of the supersymmetric theme. It gives a state-of-the-art description of the breakthrough developments in supersymmetric gauge theories. It has been written specifically for this book by A Vainshtein and the author. Chapter 7 is designed as a primer of two-dimensional conformal field theory, which constitutes the basis of modern string theory. Chapter 8, the last, presents remarkable new findings in quantum mechanics. Every chapter contains exercises and a list of recommended literature.Prof. Shifman has been an active participant and significant contributor in the development of the ideas presented in this book. This accounts for the historical remarks and digressions interspersed in the book, enhancing its pedagogical role. The book will serve as a comprehensive reference and textbook for all graduate students and researchers interested in modern particle physics. It will also be a useful guide for lecturers.

Classical Mechanics

For anyone who is determined to learn physics for real, looking beyond conventional popularizations, this is the ideal place to start' Sean Carroll, physicist and author of The Particle at the End of the Universe 'Very readable ... provides ...

Author: George Hrabovsky

Publisher: Penguin UK

ISBN: 9780141994062

Category: Science

Page: 256

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This is the ultimate master class in modern physics. World-class physicist and father of string theory Leonard Susskind and citizen-scientist George Hrabovsky combine forces in a primer that teaches the skills you need to do physics yourself. Combining crystal-clear explanations of the laws of the universe with basic exercises (including essential equations and maths), the authors cover the minimum that readers should master. They introduce the key concepts of modern physics, from classical mechanics to general relativity to quantum theory, and provide a practical toolkit that you won't find in any other popular science book.

Markov Chain Monte Carlo Methods in Quantum Field Theories

At the end of this book the reader will be able to apply the techniques learned to produce more independent and novel research in the field.

Author: Anosh Joseph

Publisher: Springer Nature

ISBN: 9783030460440

Category: Science

Page: 126

View: 436

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This primer is a comprehensive collection of analytical and numerical techniques that can be used to extract the non-perturbative physics of quantum field theories. The intriguing connection between Euclidean Quantum Field Theories (QFTs) and statistical mechanics can be used to apply Markov Chain Monte Carlo (MCMC) methods to investigate strongly coupled QFTs. The overwhelming amount of reliable results coming from the field of lattice quantum chromodynamics stands out as an excellent example of MCMC methods in QFTs in action. MCMC methods have revealed the non-perturbative phase structures, symmetry breaking, and bound states of particles in QFTs. The applications also resulted in new outcomes due to cross-fertilization with research areas such as AdS/CFT correspondence in string theory and condensed matter physics. The book is aimed at advanced undergraduate students and graduate students in physics and applied mathematics, and researchers in MCMC simulations and QFTs. At the end of this book the reader will be able to apply the techniques learned to produce more independent and novel research in the field.

Anticipating the Next Discoveries in Particle Physics

M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory, ... V. Schomerus, A Primer on String Theory (Cambridge University Press, Cambridge, UK, 2017).

Author: Essig Rouven

Publisher: World Scientific

ISBN: 9789813233355

Category: Science

Page: 636

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This volume is a compilation of lectures delivered at the TASI 2016 summer school, 'Anticipating the Next Discoveries in Particle Physics', held at the University of Colorado at Boulder in June 2016. The school focused on topics in theoretical particle physics, phenomenology, dark matter, and cosmology of interest to contemporary researchers in these fields. The lectures are accessible to graduate students in the initial stages of their research careers.

New Proofs for the Existence of God

A brief primer on string theory will help to facilitate discussion. I.A.1. A Primer on String Theory String theory was initially proposed in the mid-1960s ...

Author: Robert J. Spitzer

Publisher: Wm. B. Eerdmans Publishing

ISBN: 9780802863836

Category: Religion

Page: 319

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Responding to contemporary popular atheism, Robert J. Spitzer's New Proofs for the Existence of God examines the considerable evidence for God and creation that has come to light from physics and philosophy during the last forty years. An expert in diverse areas, including theology, physics, metaphysics, and ethics, Spitzer offers in this text the most contemporary, complete, and integrated approach to rational theism currently available. "Skepticism about the possibility of proving the existence of God often relies on data from modern science. In this splendid new book Father Robert Spitzer explores the implications of the latest discoveries in big bang cosmology, string theory, quantum physics, and the ontology of time to craft a series of convincing philosophical arguments. To paraphrase a popular commercial, this is not your father's old 'natural theology' textbook ù it's a gripping and compelling account of the best current arguments for theism."ùJoseph W. Koterski, S.J., Foidham University "A most original and insightful case for the existence of God.... Fr. Spitzer's new proofs pose a serious and compelling challenge to the unconscious hegemony of naturalism in the worlds of both philosophy and the sciences."ùFrancis J. Beckwith, Baylor University "Rare is the theologian who keeps abreast of the latest developments in fundamental physics, and even rarer the one who can discuss them with the theological and philosophical sophistication that Fr. Spitzer displays in this book. A challenging and original work."ùStephen M. Barr, University of Delaware, author of Modern Physics and Ancient Faith