EINSTEIN RELATIVELY SIMPLE. Our Universe Revealed in Everyday Language. Einstein Relatively Simple Downloaded from
|
|
- Martin Cobb
- 6 years ago
- Views:
Transcription
1 Einstein Relatively Simple Downloaded from EINSTEIN RELATIVELY SIMPLE Our Universe Revealed in Everyday Language
2 Einstein Relatively Simple Downloaded from This page intentionally left blank
3 Einstein Relatively Simple Downloaded from EINSTEIN RELATIVELY SIMPLE Our Universe Revealed in Everyday Language Ira Mark Egdall World Scientific NEW JERSEY LONDON SINGAPORE BEIJING SHANGHAI HONG KONG TAIPEI CHENNAI
4 Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore USA office: 27 Warren Street, Suite , Hackensack, NJ UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE Einstein Relatively Simple Downloaded from Library of Congress Cataloging-in-Publication Data Egdall, Ira Mark, author. Einstein relatively simple : our universe revealed in everyday language / Ira Mark Egdall. pages cm Includes bibliographical references and index. ISBN (hard : alk. paper) -- ISBN (pbk) 1. Einstein, Albert, Influence. 2. Relativity (Physics) I. Title. QC16.E5E dc British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Copyright 2014 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. In-house Editor: Rhaimie Wahap Typeset by Stallion Press enquiries@stallionpress.com Printed in Singapore
5 Einstein Relatively Simple Downloaded from To the memory of my father, who taught me to appreciate the wonders of science. To the memory of my mother, who taught me to see beauty in the world.
6 Einstein Relatively Simple Downloaded from This page intentionally left blank
7 About the Author Einstein Relatively Simple Downloaded from IRA MARK EGDALL Einstein Relatively Simple Ira Mark Egdall is the author of the ebook Unsung Heroes of the Universe and a popular science writer for DecodedScience.com. He is a retired aerospace program manager with an undergraduate degree in physics from Northeastern University. Mark now teaches lay courses in modern physics at Lifelong Learning Institutes at Florida International University, the University of Miami, and Nova Southeastern University. He also gives entertaining talks on Einstein and time travel. When not thinking about physics, Mark spends his time playing with his grandchildren and driving his wife of 45 years crazy. vii
8 Einstein Relatively Simple Downloaded from This page intentionally left blank
9 Prologue Einstein Relatively Simple Downloaded from All knowledge begins in wonder. Aristotle In June of 1905, former high-school drop-out and lowly patent clerk Albert Einstein published a paper in the German Annals of Physics which revolutionized our understanding of space and time. What came to be known as the theory of special relativity predicted a strange new universe where time slows and space shrinks with motion. In that same journal, Einstein proposed light comes in discreet packets of energy we now call photons. Along with Max Planck s work, this insight sparked the quantum revolution. This in turn set off the greatest technological revolution in human history enabling the invention of television, transistors, electronic digital computers, cell phones, digital cameras, lasers, the electron microscope, atomic clocks, MRI, sonograms, and many more modern-day devices. Einstein s follow-up article in September of 1905 proposed that mass and energy are equivalent. His famous equation, E = mc 2, came to solve one of the great mysteries of modern science how the Sun and stars shine. Some four decades later, Einstein s breakthrough ushered in the atomic age. In December of 1915, Albert Einstein now Professor of Theoretical Physics at the University of Berlin surpassed his already staggering ix
10 Einstein Relatively Simple Einstein Relatively Simple Downloaded from accomplishments. In the midst of the turmoil and hardships of World War I, he produced his life s masterpiece: a new theory of gravity. His audacious general theory of relativity revealed a cosmos beyond our wildest imagination. It predicted phenomena so bizarre even Einstein initially doubted their existence black holes which trap light and stop time, wormholes which form gravitational time machines, the expansion of space itself, and the birth of the universe some 13.8 billion years ago in the ultimate cosmic event: the Big Bang. Not since Isaac Newton had a single physicist attained such monumental breakthroughs, and no scientist since has matched his breathtaking achievements. In recognition, TIME magazine selected Albert Einstein above such luminaries as Franklin Delano Roosevelt and Mohandas Gandhi, as the Person of the Century the single individual with the most significant impact on the 20 th century. Albert Einstein has long since passed from this corporal world. Yet his fame lives on. His discoveries inspire today s generation of physicists providing stepping stones to a new understanding of the cosmos and perhaps someday a unified theory of all physics. His brilliance, independence of mind, and persistence continue to be an inspiration to us all. He remains the iconic figure of science, whose genius transcends the limits of human understanding. I wrote Einstein Relatively Simple to tell Einstein s story to hopefully provide the non-expert a clear, step-by-step explanation of how he came to develop both special and general relativity. My goal is a book which is comprehensive, fun to read, and most important, understandable to the lay reader. With this in mind, the book emphasizes the concepts behind Einstein s theories rather than the mathematics. Analogies and real-life examples serve to illuminate their mind-bending implications. Fanciful stories, from talking particles to alien abductions, offer comic relief while providing a setting for understanding the physics. I first introduce Einstein the man and then ease into the core tenets of relativity. I feel that understanding the history behind the science as well as how a scientist thinks helps us comprehend his theories. The book also cites key historical experiments which confirm predictions of relativity to help the reader accept Einstein s counterintuitive ideas. Einstein Relatively Simple is based on lay courses in modern physics I teach at Lifelong Learning Institutes at several universities in South Florida. x
11 Prologue Einstein Relatively Simple Downloaded from My students come from all walks of life. Most have no prior background in physics or mathematics. Can a non-expert really understand Einstein s theories, at least at some level? My teaching experience says yes. After all, you don t have to be an artist to appreciate the beauty of a Michelangelo you just need to be able to see. You don t need to be a musician to feel the majesty of a Beethoven symphony you just need to be able to hear. And I believe you do not have to be a trained physicist to appreciate the beauty and grandeur of Einstein s theories you just need to be able to think. It is my hope that scientists, engineers, mathematicians, and others in the technology field, as well as educators and undergraduate physics majors (especially those studying relativity for the first time) will also find this book enlightening. The conceptual approach and history of relativity s development presented in Einstein Relatively Simple should help crystallize fundamental principles. Why yet another popular science book on relativity? I have read over 80 popular science books on modern physics, yet have had great difficulty finding a book on relativity which is thorough and at a level my lay students can understand particularly general relativity. Most popular science books give general relativity short shrift or ignore the subject all together. It is also my hope that Einstein Relatively Simple fills this gap in the current literature. The book is structured on several levels: The text itself Explains basic concepts through analogies and stories with minimal to no mathematics. Grey-shaded areas within the text Provides high-school level mathematical details. (The reader may skip these grey areas, and still get the core message of each concept.) Appendices Expands upon key topics. (Sometimes involves basic calculus.) Endnotes Provides additional material for those gluttons for punishment who wish to delve more deeply into the history, physics, and supporting mathematics. (Sometimes involves basic calculus.) So come explore how an unknown patent clerk came to develop a new theory of time and space, how he came to supplant the illustrious xi
12 Einstein Relatively Simple Downloaded from Einstein Relatively Simple Isaac Newton with a new theory of gravity. Along the way we will examine the mind of Albert Einstein, who preferred to think in pictures rather than words, follow his thinking, his logic, and his insights. To quote one of my students; You ll never look at the universe the same way again! xii
13 Contents Einstein Relatively Simple Downloaded from About the Author Prologue PART I Einstein Discovered: Special Relativity, E = mc 2, and Spacetime 1 Chapter 1 From Unknown to Revolutionary 3 Chapter 2 The Great Conflict 15 Chapter 3 The Two Postulates 35 Chapter 4 A New Reality 47 Chapter 5 The Shrinking of Time 57 Chapter 6 Simultaneity and the Squeezing of Space 67 Chapter 7 The World s Most Famous Equation 83 Chapter 8 Spacetime 109 PART II Einstein Revealed: General Relativity, Gravity, and the Cosmos 137 vii ix Chapter 9 Einstein s Dream 139 Chapter 10 The Happiest Thought of My Life 151 Chapter 11 The Warping of Space and Time 173 Chapter 12 Stitching Spacetime 187 Chapter 13 What is Spacetime Curvature? 195 Chapter 14 Einstein s Masterpiece 215 xiii
14 Einstein Relatively Simple Chapter 15 The Universe Revealed 231 Chapter 16 In the Beginning 249 Einstein Relatively Simple Downloaded from Epilogue 269 Appendix A 279 Appendix B 285 Appendix C 291 Appendix D 295 Appendix E 297 Acknowledgements 303 Notes with Sources 305 Figure Credits 359 Also by Ira Mark Egdall 363 Further Reading 365 Index 367 xiv
Nuclear Chemistry. Principles of. Principles of Nuclear Chemistry Downloaded from
Principles of Nuclear Chemistry Essential Textbooks in Chemistry ISBN: 2059-7738 Orbitals: With Applications in Atomic Spectra by Charles Stuart McCaw Principles of Nuclear Chemistry by Peter A C McPherson
More informationLight and Vacuum Downloaded from by on 11/22/17. For personal use only.
This page intentionally left blank World Scientific Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ
More informationQUANTUM MECHANICS. For Electrical Engineers. Quantum Mechanics Downloaded from
Quantum Mechanics Downloaded from www.worldscientific.com QUANTUM MECHANICS For Electrical Engineers Quantum Mechanics Downloaded from www.worldscientific.com This page intentionally left blank Quantum
More informationFROM ORDERED TO CHAOTIC MOTION IN CELESTIAL MECHANICS
From Ordered to Chaotic Motion in Celestial Mechanics Downloaded from www.worldscientific.com FROM ORDERED TO CHAOTIC MOTION IN CELESTIAL MECHANICS From Ordered to Chaotic Motion in Celestial Mechanics
More informationA FIRST COURSE IN INTEGRAL EQUATIONS
A FIRST COURSE IN INTEGRAL EQUATIONS This page is intentionally left blank A FIRST COURSE IN INTEGRAL EQUATIONS Abdul-M ajid Wazwaz Saint Xavier University, USA lib World Scientific 1M^ Singapore New Jersey
More informationGeometrical Properties of Differential Equations Downloaded from by on 05/09/18. For personal use only.
This page intentionally left blank Applications of Lie Group Analysis in Financial Mathematics Ljudmila A. Bordag University of Applied Sciences Zittau/Görlitz, Germany World Scientific NEW JERSEY LONDON
More informationCOUNTING. Solutions Manual. 2nd Edition. Counting Downloaded from by on 02/19/18. For personal use only.
COUNTING Solutions Manual 2nd Edition This page intentionally left blank COUNTING Solutions Manual 2nd Edition Koh Khee Meng National University of Singapore, Singapore Tay Eng Guan Nanyang Technological
More informationARTiFiCiAL intelligence
PRiNCiPLES OF QUANTUM ARTiFiCiAL intelligence This page intentionally left blank PRiNCiPLES OF QUANTUM ARTiFiCiAL intelligence Andreas Wichert Instituto Superior Técnico - Universidade de Lisboa, Portugal
More informationVARIATIONS INTRODUCTION TO THE CALCULUS OF. 3rd Edition. Introduction to the Calculus of Variations Downloaded from
INTRODUCTION TO THE CALCULUS OF VARIATIONS 3rd Edition This page intentionally left blank INTRODUCTION TO THE CALCULUS OF VARIATIONS 3rd Edition Bernard Dacorogna Ecole Polytechnique Fédérale Lausanne,
More informationGraphene Plasmonics. An Introduction to. P.A.D Gonçalves. N.M.R Peres. World Scientific. University of Minho, Portugal. Univeristy of Minho, Portugal
An Introduction to Graphene Plasmonics P.A.D Gonçalves University of Minho, Portugal N.M.R Peres Univeristy of Minho, Portugal World Scientific NEW JERSEY LONDON SINGAPORE BEIJING SHANGHAI HONG KONG TAIPEI
More informationQUANTUM MECHANICS USING COMPUTER ALGEBRA
QUANTUM MECHANICS USING COMPUTER ALGEBRA Includes Sample Programs in C++, SymbolicC++, Maxima, Maple, and Mathematica 2nd Edition This page intentionally left blank QUANTUM MECHANICS USING COMPUTER ALGEBRA
More informationMatrix Calculus and Kronecker Product
Matrix Calculus and Kronecker Product A Practical Approach to Linear and Multilinear Algebra Second Edition This page intentionally left blank Matrix Calculus and Kronecker Product A Practical Approach
More informationCalculating Catastrophe Downloaded from by on 11/20/17. For personal use only.
f(λ1/ λ3) = f(λ1/ λ2) f(λ2/ λ3) Gordon Woo ICP P786.9781848167384-tp.indd 2 Imperial College Press 6/6/11 9:42 AM Published by Imperial College Press 57 Shelton Street Covent Garden London WC2H 9HE Distributed
More informationCOMPARATIVE STATICS ANALYSIS in ECONOMICS
COMPARATIVE STATICS ANALYSIS in ECONOMICS This page is intentionally left blank COMPARATIVE STATICS ANALYSIS in ECONOMICS Kevin M. Currier Department of Economics Oklahoma State University \ > World Scientific
More informationFRACTIONAL CALCULUS IN PHYSICS
APPLICATIONS OF FRACTIONAL CALCULUS IN PHYSICS APPLICATIONS OF FRACTIONAL CALCULUS IN PHYSICS Editor Universitat Mainz and Universitat Stuttgart Germany Vfe World Scientific «Singapore New Jersey London
More informationMODELING BY NONLINEAR DIFFERENTIAL EQUATIONS
MODELING BY NONLINEAR DIFFERENTIAL EQUATIONS Dissipative and Conservative Processes WORLD SCIENTIFIC SERIES ON NONLINEAR SCIENCE Editor: Leon O. Chua University of California, Berkeley Series A. Volume
More informationFoliations 2012 Downloaded from by on 01/20/18. For personal use only. FOLIATIONS 2012
FOLIATIONS 2012 This page intentionally left blank FOLIATIONS 2012 Proceedings of the International Conference Łódź, Poland 25 30 June 2012 editors Paweł Walczak Uniwersytet Łódzki, Poland Jesús Álvarez
More informationGold Nanoparticles for Physics, Chemistry and Biology Downloaded from by on 02/15/18. For personal use only.
Gold Nanoparticles for Physics, Chemistry and Biology Downloaded from www.worldscientific.com Gold Nanoparticles for Physics, Chemistry and Biology Downloaded from www.worldscientific.com GOLD NANOPARTICLES
More informationTHE QUANTUM PUZZLE Critique of Quantum Theory and Electrodynamics
THE QUANTUM PUZZLE Critique of Quantum Theory and Electrodynamics This page intentionally left blank THE QUANTUM PUZZLE Critique of Quantum Theory and Electrodynamics Barry R Clarke Brunel University,
More informationSpaces of Variable Integrability
Differential Operators on Spaces of Variable Integrability This page intentionally left blank Differential Operators on Spaces of Variable Integrability David E. Edmunds University of Sussex, UK Jan Lang
More informationGEOMETRIC ANALYSIS AROUND SCALAR CURVATURES
GEOMETRIC ANALYSIS AROUND SCALAR CURVATURES LECTURE NOTES SERIES Institute for Mathematical Sciences, National University of Singapore Series Editors: Chitat Chong and Kwok Pui Choi Institute for Mathematical
More informationDiscover The Life Of An Inventor. Albert Einstein
Discover The Life Of An Inventor Albert Einstein ALBERT EINSTEIN DISCOVER THE LIFE OF AN INVENTOR Don McLeese Rourke Publishing LLC Vero Beach, Florida 32964 2006 Rourke Publishing LLC All rights reserved.
More informationSPIN AND TORSION IN GRAVITATION
SPIN AND TORSION IN GRAVITATION This page is intentionally left blank SPIN AND TORSION IN GRAVITATION Venzo de Sabbata Dept. of Physics, Bologna University, Italy; Dept. of Physics, Ferrara University,
More informationNature The Story of Gauge Fields
Fundamental Forces of Nature Nature The Story of Gauge Fields This page intentionally left blank Fundamental Forces of Nature The Story of Gauge Fields Kerson Huang Massachusetts Institute of Technology,
More informationphysical Carbon Nanotubes Properties of Physical Properties of Carbon Nanotubes Downloaded from
physical Properties of Carbon Nanotubes This page is intentionally left blank Rysical Properties of Carbon Nanotubes GDRESSELElAUS & M S DRBSELMUS MZT Imperial College Press Published by Imperial College
More informationFORCES OF THE QUANTUM VACUUM
FORCES OF THE QUANTUM VACUUM An Introduction to Casimir Physics This page intentionally left blank FORCES OF THE QUANTUM VACUUM An Introduction to Casimir Physics Editors William Simpson Weizmann Institute
More informationBEAM DYNAMICS IN HIGH ENERGY PARTICLE ACCELER ATORS
BEAM DYNAMICS IN HIGH ENERGY PARTICLE ACCELER ATORS This page intentionally left blank BEAM DYNAMICS IN HIGH ENERGY PARTICLE ACCELER ATORS Andrzej Wolski University of Liverpool, UK ICP Imperial College
More informationSilicon Solid State Devices and Radiation Detection
Silicon Solid State Devices and Radiation Detection This page intentionally left blank Silicon Solid State Devices and Radiation Detection Claude Leroy Université de Montréal, Canada Pier-Giorgio Rancoita
More informationUNDERSTANDING SOFT CONDENSED MATTER VIA MODELING AND COMPUTATION. Wenbing Hu An-Chang Shi. World Scientific. Editors
Series in Soft Condensed Matter Vol. 3 Editors Wenbing Hu An-Chang Shi UNDERSTANDING SOFT CONDENSED MATTER VIA MODELING AND COMPUTATION World Scientific UNDERSTANDING SOFT CONDENSED MATTER VIA MODELING
More informationFeynman Motives Downloaded from by on 02/12/18. For personal use only.
This page intentionally left blank Matilde Marcolli California Institute of Technology, USA World Scientific N E W J E R S E Y L O N D O N S I N G A P O R E B E I J I N G S H A N G H A I H O N G K O N
More informationStochastic Analysis in Mathematical Physics
Stochastic Analysis in Mathematical Physics This page intentionally left blank Stochastic Analysis in Mathematical Physics Proceedings of a Satellite Conference of ICM 2006 Lisbon, Portugal 4 8 September
More informationProblems and Solutions on Quantum Mechanics
Problems and Solutions on Quantum Mechanics This page is intentionally left blank Major American Universities Ph. D. Qualifying Questions and Solutions Problems and Solutions on Quantum Mechanics Compiled
More informationLECTURE NOTES SOLUTION CHEMISTRY
LECTURE NOTES ON SOLUTION CHEMISTRY This page is intentionally left blank LECTURE NOTES ON SOLUTION CHEMISTRY Viktor Gutmann Gerhard Resch Wien, Technical University, Austria World Scientific Singapore»New
More informationCurrent-Driven Phenomena in NANOELECTRONICS. Edited by Tamar Seideman Northwestern University
Current-Driven Phenomena in NANOELECTRONICS Edited by Tamar Seideman Northwestern University Published by Pan Stanford Publishing Pte. Ltd. Penthouse Level, Suntec Tower 3 8 Temasek Boulevard Singapore
More informationPOLYMERS, LIQUIDS AND COLLOIDS IN ELECTRIC FIELDS
POLYMERS, LIQUIDS AND COLLOIDS IN ELECTRIC FIELDS Interfacial Instabilities, Orientation and Phase Transitions SERIES IN SOFT CONDENSED MATTER ISSN: 1793-737X Founding Advisor: Pierre-Gilles de Gennes
More informationQuantum Theory of the Optical and Electronic Properties of Semiconductors Downloaded from
This page intentionally left blank Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office:
More informationthematical Analysis of Mathematical Analysis of Random Phenomena Downloaded from Tandom Phenomena
Mathematical Analysis of Random Phenomena Downloaded from www.worldscientific.com thematical Analysis of Tandom Phenomena Proceedings of the International Conference Mathematical Analysis of Random Phenomena
More informationCondensed Matter Physics in the Prime of the 21st Century
Condensed Matter Physics in the Prime of the 21st Century Downloaded from www.worldscientific.com Condensed Matter Physics in the Prime of the 21st Century Phenomena, Materials, Ideas, Methods Condensed
More informationWe saw last time how the development of accurate clocks in the 18 th and 19 th centuries transformed human cultures over the world.
We saw last time how the development of accurate clocks in the 18 th and 19 th centuries transformed human cultures over the world. They also allowed for the precise physical measurements of time needed
More informationAsymptotic Theory of Anisotropic Plates and Shells Downloaded from by on 02/12/18. For personal use only.
This page intentionally left blank World Scientific 9048_9789814579025_tp.indd 2 3/2/15 5:26 pm Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren
More informationTRANSPORT PHENOMENA AND UNIT OPERATIONS
TRANSPORT PHENOMENA AND UNIT OPERATIONS TRANSPORT PHENOMENA AND UNIT OPERATIONS A COMBINED APPROACH Richard G. Griskey A JOHN WILEY & SONS, INC., PUBLICATION This book is printed on acid-free paper Copyright
More informationPhysics The study of the energy, matter, and forces in the Universe Why do stars move in the sky? How can heat be changed into electricity? What is the difference between an atom of one substance and an
More informationEinstein s Gravity. Understanding space-time and the gravitational effects of mass
Einstein s Gravity Understanding space-time and the gravitational effects of mass Albert Einstein (1879-1955) One of the iconic figures of the 20 th century, Einstein revolutionized our understanding of
More informationSecond Edition A FIRST COURSE IN INTEGRAL EQUATIONS
Second Edition A FIRST COURSE IN INTEGRAL EQUATIONS Second Edition A FIRST COURSE IN INTEGRAL EQUATIONS Abdul-Majid Wazwaz Saint Xavier University, USA Published by World Scientific Publishing Co. Pte.
More informationThis content has been downloaded from IOPscience. Please scroll down to see the full text.
This content has been downloaded from IOPscience. Please scroll down to see the full text. Download details: IP Address: 46.3.203.124 This content was downloaded on 30/12/2017 at 22:16 Please note that
More informationDo you know the man that dropped out of school and still was one of the greatest physicists of the 20th century? That is Albert Einstein.
Do you know the man that dropped out of school and still was one of the greatest physicists of the 20th century? That is Albert Einstein. Albert was a man that thought for himself and changed the world
More informationPHYSIOLOGY NOBEL LECTURES OR MEDICINE. Nobel Lectures in Physiology or Medicine ( ) Downloaded from
NOBEL LECTURES PHYSIOLOGY OR MEDICINE 2006-2010 NOBEL LECTURES INCLUDING PRESENTATION SPEECHES AND LAUREATES' BIOGRAPHIES PHYSICS CHEMISTRY PHYSIOLOGY OR MEDICINE LITERATURE ECONOMIC SCIENCES NOBEL LECTURES
More informationA Student s Guide to Waves
A Student s Guide to Waves Waves are an important topic in the fields of mechanics, electromagnetism, and quantum theory, but many students struggle with the mathematical aspects. Written to complement
More informationLessons from Nanoelectronics A New Perspective on Transport
Lessons from Nanoelectronics A New Perspective on Transport Lessons from Nanoscience: A Lecture Note Series ISSN: 2301-3354 Series Editors: Mark Lundstrom and Supriyo Datta (Purdue University, USA) Lessons
More informationModern Physics notes Paul Fendley Lecture 1
Modern Physics notes Paul Fendley fendley@virginia.edu Lecture 1 What is Modern Physics? Topics in this Class Books Their Authors Feynman 1.1 What is Modern Physics? This class is usually called modern
More informationEQUATIONS WITH APPLICATIONS
ORDINARY DIFFERENTIAL EQUATIONS WITH APPLICATIONS SERIES ON APPLIED MATHEMATICS Editor-in-Chief: Frank Hwang Associate Editors-in-Chief: Zhong-ci Shi and U Rothblum VOl. 1 VOl. 2 VOl. 3 VOl. 4 VOl. 5 Vol.
More informationUnderstanding Quantum Physics An Interview with Anton Zeilinger
Understanding Quantum Physics An Interview with Anton Zeilinger Igor DOTSENKO and Guillaume KASPERSKI Anton Zeilinger is an Austrian quantum physicist. His research focuses on the fundamental aspects and
More informationGEOMETRY OF MÖBIUS TRANSFORMATIONS
GEOMETRY OF MÖBIUS TRANSFORMATIONS Elliptic, Parabolic and Hyperbolic Actions of SL 2 (R) Vladimir V. Kisil University of Leeds, UK ICP Imperial College Press Published by Imperial College Press 57 Shelton
More informationChemical Theory beyond the Born-Oppenheimer Paradigm Nonadiabatic Electronic and Nuclear Dynamics in Chemical Reactions
Chemical Theory beyond the Born-Oppenheimer Paradigm Nonadiabatic Electronic and Nuclear Dynamics in Chemical Reactions This page intentionally left blank Chemical Theory beyond the Born-Oppenheimer Paradigm
More informationMaximum Principles in Differential Equations
Maximum Principles in Differential Equations Springer New York Berlin Heidelberg Barcelona Hong Kong London Milan Paris Singapore Tokyo Murray H. Protter Hans F. Weinberger Maximum Principles in Differential
More informationHydrophobic and Superhydrophobic Organic-Inorganic Nanohybrids. Chang-Sik Ha Saravanan Nagappan
Hydrophobic and Superhydrophobic Organic-Inorganic Nanohybrids Chang-Sik Ha Saravanan Nagappan Hydrophobic and Superhydrophobic Organic-Inorganic Nanohybrids Hydrophobic and Superhydrophobic Organic-Inorganic
More informationMight have Minkowski discovered the cause of gravity before Einstein? Vesselin Petkov Minkowski Institute Montreal, Canada
Might have Minkowski discovered the cause of gravity before Einstein? Vesselin Petkov Minkowski Institute Montreal, Canada OUTLINE We will never know how physics would have developed had Hermann Minkowski
More informationFundamentals of Atomic Force Microscopy. Part I: Foundations
Fundamentals of Atomic Force Microscopy Part I: Foundations Lessons from Nanoscience: A Lecture Note Series ISSN: 2301-3354 Series Editors: Mark Lundstrom and Supriyo Datta (Purdue University, USA) Lessons
More informationPractical Statistics for Geographers and Earth Scientists
Practical Statistics for Geographers and Earth Scientists Nigel Walford A John Wiley & Sons, Ltd., Publication Practical Statistics for Geographers and Earth Scientists Practical Statistics for Geographers
More informationTOPICS IN THE HISTORY OF MODERN MATHEMATICS (MHF4401)
TOPICS IN THE HISTORY OF MODERN MATHEMATICS (MHF4401) Course Theme Laura De Carli The proposed course focuses on the life, the achievements, and the historical times of three scientists whose theories
More informationPhysical Systems. Chapter 11
Chapter 11 Physical Systems Until now we have ignored most aspects of physical systems by dealing only with abstract ideas such as information. Although we assumed that each bit stored or transmitted was
More informationA Universe Filled with Questions
Volume 19 Issue 1 Spring 2010 Illinois Wesleyan University Magazine Article 2 2010 A Universe Filled with Questions Tim Obermiller Illinois Wesleyan University, iwumag@iwu.edu Recommended Citation Obermiller,
More informationMysteries of Modern Physics: Time
Topic Science & Mathematics Subtopic Physics Mysteries of Modern Physics: Time Course Guidebook Professor Sean Carroll California Institute of Technology PUBLISHED BY: THE GREAT COURSES Corporate Headquarters
More information226 My God, He Plays Dice! Entanglement. Chapter This chapter on the web informationphilosopher.com/problems/entanglement
226 My God, He Plays Dice! Entanglement Chapter 29 20 This chapter on the web informationphilosopher.com/problems/entanglement Entanglement 227 Entanglement Entanglement is a mysterious quantum phenomenon
More informationParanormal Niagara Cases of the Mysterious and Macabre
This book explores the haunted, scary stories proven to be true, or that persist in the folklore of the Niagara Region, one of the world's most popular tourist destinations. The cases include: the world
More informationIntroduction to Practical Peridynamics Downloaded from by on 12/30/17. For personal use only.
Frontier Research in Computation and Mechanics of Materials and Biology ISSN: 2315-4713 Series Editors: Shaofan Li (University of California, Berkeley, USA) Wing Kam Liu (Northwestern University, USA)
More informationTHE OSKAR KLEIN MEMORIAL LECTURES
THE OSKAR KLEIN MEMORIAL LECTURES This page is intentionally left blank THE OSKAR KLEIN MEMORIAL LECTURES Vol. 1: Lectures by C.N. Yang and S. Weinberg with translated reprints by 0. Klein Editor: Qosta
More informationBASIC STRUCTURAL DYNAMICS
BASIC STRUCTURAL DYNAMICS BASIC STRUCTURAL DYNAMICS James C. Anderson Ph.D. Professor of Civil Engineering, University of Southern California Farzad Naeim Ph.D., S.E., Esq. Vice President and General
More informationCircuit Analysis for Power Engineering Handbook
Circuit Analysis for Power Engineering Handbook Circuit Analysis for Power Engineering Handbook Arieh L. Shenkman SPRINGER SCIENCE+BUSINESS MEDIA, B.V A c.i.p. Catalogue record for this book is available
More informationTeacher s Guide For. Core Astronomy
Teacher s Guide For Core Astronomy For grade 7 - College Program produced by Centre Communications, Inc. for Ambrose Video Publishing, Inc. Executive Producer William V. Ambrose Teacher's Guide by Ron
More informationA d v a n c e s i n. Geosciences. Advances in Geosciences Downloaded from by on 11/19/17. For personal use only.
A d v a n c e s i n Geosciences Vo l u m e 9 : S o l i d E a r t h ( S E ) O c e a n S c i e n c e ( O S ) a n d At m o s p h e r i c S c i e n c e ( A S ) ADVANCES IN GEOSCIENCES Editor-in-Chief: Wing-Huen
More informationThermal Physics. Energy and Entropy
Thermal Physics Energy and Entropy Written by distinguished physics educator, this fresh introduction to thermodynamics, statistical mechanics and the study of matter is ideal for undergraduate courses.
More informationEinstein in a Nutshell
Einstein in a Nutshell Richard Wolfson Benjamin F. Wissler Professor of Physics Middlebury College Insight Cruises/Scientific American January 15, 2011 Relativity in Recent News http://newscenter.berkeley.edu/2011/12/05/record-black-holes-bigger-than-our-solar-system/,
More informationLimitations of Newtonian Physics
Limitations of Newtonian Physics 18 th and 19 th Centuries Newtonian Physics was accepted as an ultimate truth Science is never absolute Hundreds of experiments can t prove my theory right but only one
More informationNanophononics. Zlatan Aksamija. Thermal Generation, Transport, and Conversion at the Nanoscale. edited by
Nanophononics Thermal Generation, Transport, and Conversion at the Nanoscale edited by Nanophononics Nanophononics Thermal Generation, Transport, and Conversion at the Nanoscale edited by Published by
More informationFOURIER TRANSFORMS. Principles and Applications. ERIC W. HANSEN Thayer School of Engineering, Dartmouth College
FOURIER TRANSFORMS FOURIER TRANSFORMS Principles and Applications ERIC W. HANSEN Thayer School of Engineering, Dartmouth College Cover Image: istockphoto/olgaaltunina Copyright 2014 by John Wiley & Sons,
More informationGrowing Graphene on Semiconductors
Growing Graphene on Semiconductors edited by Nunzio Motta Francesca Iacopi Camilla Coletti Growing Graphene on Semiconductors Growing Graphene on Semiconductors edited by Nunzio Motta Francesca Iacopi
More informationArrow Pushing in Organic Chemistry
Arrow Pushing in Organic Chemistry An Easy Approach to Understanding Reaction Mechanisms Daniel E. Levy Arrow Pushing in Organic Chemistry Arrow Pushing in Organic Chemistry An Easy Approach to Understanding
More informationTeacher s Guide For. Core Physics: Modern Physics
Teacher s Guide For Core Physics: Modern Physics For grade 7 - College Program produced by Centre Communications, Inc. for Ambrose Video Publishing, Inc. Executive Producer William V. Ambrose Teacher's
More informationNanostructures. Nanomaterials Synthesis, Properties, and Applications
Nanostructures and Nanomaterials Synthesis, Properties, and Applications 2nd Edition World Scientific Series in Nanoscience and Nanotechnology Series Editor: Mark Reed (Yale University) Vol. 1 Vol. 2 Molecular
More informationCHAPTER 1. Introduction
CHAPTER 1 Introduction A typical Modern Geometry course will focus on some variation of a set of axioms for Euclidean geometry due to Hilbert. At the end of such a course, non-euclidean geometries (always
More informationrv^ k ^ Physiology of CM'^Rchids llmwa^llilm^ VOAfcwll.WH.fcng World Scientific
rv^ k ^ Physiology of CM'^Rchids llmwa^llilm^ VOAfcwll.WH.fcng World Scientific Che Physiology op *CRopic
More informationCatching waves with Kip Thorne
1997 2009, Millennium Mathematics Project, University of Cambridge. Permission is granted to print and copy this page on paper for non commercial use. For other uses, including electronic redistribution,
More informationStructural Aspects in the Theory of Probability
Structural Aspects in the Theory of Probability A Primer in Probabilities on Algebra ic-to po log ica I Structures SERIES ON MULTIVARIATE ANALYSIS Editor: M M Rao Published Vol. 1 : Martingales and Stochastic
More informationLeibniz and the Discovery of Calculus. The introduction of calculus to the world in the seventeenth century is often associated
Leibniz and the Discovery of Calculus The introduction of calculus to the world in the seventeenth century is often associated with Isaac Newton, however on the main continent of Europe calculus would
More informationRevolutions in Twentieth-Century Physics
Revolutions in Twentieth-Century Physics The conceptual changes wrought by modern physics are radical, important, and fascinating, yet they are only vaguely understood by people working outside the field.
More informationReal Science-4-Kids. Level I. Dr. R. W. Keller
Real Science-4-Kids Level I Dr. R. W. Keller Cover design: David Keller Opening page: David Keller Illustrations: Janet Moneymaker, Rebecca Keller Copyright 2004 Gravitas Publications, Inc. All rights
More informationTEACH YOURSELF THE BASICS OF ASPEN PLUS
TEACH YOURSELF THE BASICS OF ASPEN PLUS TEACH YOURSELF THE BASICS OF ASPEN PLUS RALPH SCHEFFLAN Chemical Engineering and Materials Science Department Stevens Institute of Technology A JOHN WILEY & SONS,
More informationThe Myth of Dirac supposedly combining Special Relativity with Quantum Mechanics Roger J. Anderton
The Myth of Dirac supposedly combining Special Relativity with Quantum Mechanics Roger J. Anderton R.J.Anderton@btinternet.com Many popular texts state that Dirac - combined Special Relativity (SR) with
More informationThis content has been downloaded from IOPscience. Please scroll down to see the full text.
This content has been downloaded from IOPscience. Please scroll down to see the full text. Download details: IP Address: 148.251.232.83 This content was downloaded on 26/09/2018 at 01:50 Please note that
More informationELECTRON TRANSPORT PHENOMENA IN SEMICONDUCTORS by BMAskerov (Baku State Univ.) This book contains the first systematic and detailed exposition of the
ELECTRON TRANSPORT PHENOMENA IN SEMICONDUCTORS by BMAskerov (Baku State Univ.) This book contains the first systematic and detailed exposition of the linear theory of the stationary electron transport
More informationINTRODUCTION TO ELASTICITY THEORY FOR CRYSTAL DEFECTS. Second Edition
INTRODUCTION TO ELASTICITY THEORY FOR CRYSTAL DEFECTS Second Edition This page intentionally left blank INTRODUCTION TO ELASTICITY THEORY FOR CRYSTAL DEFECTS Second Edition Robert W Balluffi Massachusetts
More informationTopic Page: Einstein, Albert ( )
Topic Page: Einstein, Albert (1879-1955) Definition: Einstein, Albert from Philip's Encyclopedia US physicist, b. Germany, who devised the famous theories of relativity. Einstein published many important
More informationPHYSICAL SCIENCE. 27 Activities Exploring the World s Greatest Scientific Discoveries. Aligns to National Science Education Standards
PHYSICAL SCIENCE 27 Activities Exploring the World s Greatest Scientific Discoveries Alan Ticotsky Aligns to National Science Education Standards Good Year Books Tucson, Arizona Dedication To Davida and
More informationChapter S3 Spacetime and Gravity. Agenda. Distinguishing Crackpots
Chapter S3 Spacetime and Gravity Agenda Announce: Online Quizzes Observations Extra Credit Lecture Distinguishing Crackpot/Genuine Science Review of Special Relativity General Relativity Distinguishing
More informationì<(sk$m)=bebjjj< +^-Ä-U-Ä-U
Reader Meet t h e! A Book for Fans Genre Build Background Access Content Extend Language Expository Nonfiction The Earth s Cycles Day and Night Questions Captions and Labels Definitions Diagrams Word Origins
More informationStudent Workbook for Physics for Scientists and Engineers: A Strategic Approach with Modern Physics Randall D. Knight Third Edition
Student Workbook for Physics for Scientists and Engineers: A Strategic Approach with Modern Physics Randall D. Knight Third Edition Pearson Education Limited Edinburgh Gate Harlow Essex CM20 2JE England
More informationBourbaki Elements of the History of Mathematics
Bourbaki Elements of the History of Mathematics Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Nicolas Bourbaki Elements of the History of Mathematics Translated
More informationMonsters in the Cosmic Sea: Black holes and Einstein's astrophysical legacy
Utah State University DigitalCommons@USU Public Talks Astrophysics 8-11-2007 Monsters in the Cosmic Sea: Black holes and Einstein's astrophysical legacy Shane L. Larson Utah State University Follow this
More informationTeacher's Guide for ODYSSEY: July/August 2011: Rage or Reason?
Teacher's Guide for ODYSSEY: July/August 2011: Rage or Reason? Teacher s Guide prepared by: Lea M. Lorber Martin, B.A., English; M.Ed., Elementary Education. Lea has experience teaching fourth grade and
More information