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Extra Dimensions in Space and Time has two main features that differentiate it from all other books written about the topic:

The first feature is the coverage of extra dimensions in time (Two-Time physics), which has not been covered in earlier books. All other books on the topic focus on extra spatial dimensions.

The second feature deals with level of presentation. The material is presented in a non-technical language followed by additional technical sections (in the form of appendices or footnotes) that explain the basic equations and principles. This feature is very attractive to readers who want to learn more about the theories involved beyond the basic description for a layperson.

Topics Covered:

Structure of matter & fundamental forces

Einstein's relativistic view of space-time

Equivalence Principle and General Relativity

Symmetry and perspective

Why higher space or time dimensions?

Extra space dimensions and String Theory

Einstein and the Fourth Dimension

Traditional Extra Dimensions

String Theory and Branes

Warped Extra Dimensions

How to Look For Extra Dimensions?

Extra Dimensions: The equations behind the words

Two Time Physics

Current status of 2T-Physics and future directions

Multiversal Journeys? is a trademark of Farzad Nekoogar and Multiversal Journeys, a 501(c)(3) nonprofit organization.

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Editorial Reviews

From the Publisher
From the reviews:

“Popular expositions of scientific topics have an important role in informing the general public of the nature/implications of current research. This is always a difficult task, especially for the highly abstract and very complicated topics addressed here. … Summing Up: Recommended. Upper-division undergraduates and graduate students.” (M. Coplan, Choice, Vol. 48 (2), October, 2010)

“The origin of this book lies in two public lectures given by the authors for a general public, under the auspices of multiversal journeys, a non-profit organization dedicated to disseminating knowledge on current theoretical physics to the general public. … It certainly is to be welcomed that leading theoretical physicists make an effort to communicate their research to the general public. This book demonstrates how to succeed in such an endeavour.” (Michael Kunzinger, Zentralblatt MATH, Vol. 1207, 2011)

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Product Details

  • ISBN-13: 9780387776378
  • Publisher: Springer New York
  • Publication date: 12/15/2009
  • Series: Multiversal Journeys Series
  • Edition description: 2010
  • Edition number: 1
  • Pages: 218
  • Product dimensions: 6.20 (w) x 9.20 (h) x 1.00 (d)

Meet the Author

Professor John Terning - University of California, Davis

John Terning is Professor of Physics at University of California, Davis. He received his Ph.D. from University of Toronto and was a Postdoctoral Fellow at Yale University. He was also a researcher at Boston University, University of California, Berkeley and Harvard University. Professor Terning was a staff member at the Los Alamos National Laboratory. John Terning's research Interests include theoretical particle physics, electroweak symmetry breaking, supersymmetry, cosmology, extra dimensions, and AdS/CFT correspondence.

Professor Itzhak Bars, University of Southern California

Itzhak Barsis a Professor of Physics at the University of Southern California, Los Angeles. He received his Ph.D. from Yale University in 1971 and after postdoctoral research at the University of California at Berkeley he was appointed to the faculty of Stanford University in 1973. He returned to Yale University in 1975 as a faculty member in the Physics Department, and after a decade he moved to the University of Southern California in 1984 to build a research group in High Energy Physics. He served as the director of the Caltech-USC Center for Theoretical Physics during 1999-2003. His visiting appointments include Harvard University, the Institute for Advanced Study in Princeton, and CERN in Geneva, Switzerland.

Professor Bars is a leading expert in symmetries in Physics, which he applies in much of his research on particle physics, field theory, string theory and mathematical physics in over 200 papers. He is the author of a book on "Quantum Mechanics" and co-editor of the books "Symmetry in Particle Physics" and "Strings '95, Future Perspectives in String Theory". Some of his experimentally successful physics predictions include supersymmetry in large nuclei with even/odd numbers of nucleons, and the weak interaction contribution to the anomalous magnetic moment of the muon, in the context of the quantized Standard Model, that was confirmed after 30 years. His contributions to the mathematics of supersymmetry are extensively used in several branches of physics and mathematics.

His current interests include String Field Theory, and Two-Time Physics which he originated in 1998. In 2006 he established that all the physics we know today, as embodied in principle in the Standard Model of Particles and Forces, is better described by a two-time field theory in 4 space and 2 time dimensions projected as a shadow on an emergent 3 space and 1 time dimensions. His honors include Fellow of the American Physical Society, the First Award in the Gravity Research Foundation essay contest (shared with Chris Pope), Outstanding Junior Investigator Award by the Department of Energy, and the A. P. Sloan Foundation Fellowship.

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Table of Contents

Part I Two-Time Physics: The Unified View from Higher Dimensional Space and Time Itzhak Bars

1 A First Look at the Known Universe 7

2 Structure of Matter and Fundamental Forces 13

2.1 The Fundamentals at Subatomic Distances 13

2.2 Large Distances and Cosmology 21

3 What Is Space-Time? 29

3.1 Einstein's Relativistic View of Space-Time 33

3.2 Equivalence Principle, Symmetry, and General Relativity 38

4 Symmetry and Perspective 43

5 Why Higher Space or Time Dimensions? 47

5.1 Extra Space Dimensions 49

5.2 A Matter of Perspective in 2T Space-time 51

5.3 Why Two Times 54

5.4 The Shadows Allegory 56

6 The Role of Extra Space Dimensions in String Theory 59

7 Two-Time Physics 67

7.1 Historical Path to the Sp(2, R) Symmetry 67

7.2 Indistinguishable Position and Momentum and Sp(2, R) 72

7.3 How Does It Work? 75

7.3.1 Informal Discussion 77

7.3.2 Formal Discussion 78

7.4 Examples of Shadows and Hidden Information 81

8 Evidence of 4 + 2 as Subtle Effects in 3 + 1 Dimensions 89

8.1 H-Atom 89

8.2 The Fourth Space Dimension in Celestial Mechanics 95

9 Fundamental Universe as a Shadow from 4 + 2 Dimensions 99

9.1 The Standard Model as a 2T-Field Theory 101

9.2 2T-Gravity in 4 + 2 Dimensions 104

9.3 Dilaton-Driven Cosmic Phase Transitions 106

9.4 Electroweak Phase Transition 109

10 Current Status of 2T-Physics and Future Directions 113

11 Further Reading 123

References 123

Part II Extra Dimensions of Space John Terning

12 The Popular View of Extra Dimensions 129

12.1 Einstein and the Fourth Dimension 130

12.2 Traditional Extra Dimensions 141

12.3 Einstein's Gravity 146

12.4 The Theory Formerly Known as String 149

12.5 Warped Extra Dimensions 154

12.6 How Do We Look for Extra Dimensions? 158

12.7 Epilogue 165

References 165

13 Extra Material: The Equations Behind the Words 167

13.1 Units and Coordinates 167

13.2 Einstein and the Fourth Dimension 169

13.3 Quantum Mechanics 178

13.4 Traditional Extra Dimensions 182

13.5 Einstein's Gravity 185

13.6 The Theory Formerly Known as String 190

13.7 Warped Extra Dimensions 197

13.8 The Maxwell Equations 201

13.9 How Do We Look for Extra Dimensions? 208

About the Authors 211

Index 213

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