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Warped Passages - Lisa Randall [0]

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Lisa Randall

Warped Passages


Unraveling the Mysteries of the Universe’s Hidden Dimensions

Contents

Preface and Acknowledgements

I. Dimensions of Space (and Thought)

Introduction

1 Entryway Passages: Demystifying Dimensions

2 Restricted Passages: Rolled-up Extra Dimensions

3 Exclusive Passages: Branes, Braneworlds, and the Bulk

4 Approaches to Theoretical Physics

II. Early Twentieth-Century Advances

5 Relativity: The Evolution of Einstein’s Gravity

6 Quantum Mechanics: Principled Uncertainty, the Principal Uncertainties, and the Uncertainty Principle

III. The Physics of Elementary Particles

7 The Standard Model of Particle Physics: Matter’s Most Basic Known Structure

8 Experimental Interlude: Verifying the Standard Model

9 Symmetry: The Essential Organizing Principle

10 The Origin of Elementary Particle Masses: Spontaneous Symmetry Breaking and the Higgs Mechanism

11 Scaling and Grand Unification: Relating Interactions at Different Lengths and Energies

12 The Hierarchy Problem: The Only Effective Trickle-Down Theory

13 Supersymmetry: A Leap Beyond the Standard Model

IV. String Theory and Branes

14 Allegro (Ma Non Troppo) Passage for Strings

15 Supporting Passages: Brane Development

16 Bustling Passages: Braneworlds

V. Proposals for Extra-Dimensional Universes

17 Sparsely Populated Passages: Multiverses and Sequestering

18 Leaky Passages: Fingerprints of Extra Dimensions

19 Voluminous Passages: Large Extra Dimensions

20 Warped Passage: A Solution to the Hierarchy Problem

21 The Warped Annotated “Alice”

22 Profound Passage: An Infinite Extra Dimension

23 A Reflective and Expansive Passage

VI. Closing Thoughts

24 Extra Dimensions: Are You In or Out?

25 (In)Conclusion

Glossary

Math Notes

Permissions

Searchable Terms

About the Author

Copyright

About the Publisher

Preface and Acknowledgments

When I was a young girl, I loved the play and intellectual games in math problems or in books like Alice in Wonderland. But although reading was one of my favorite activities, books about science usually seemed more remote and less inviting to me—I never felt sufficiently engaged or challenged. The tone often seemed condescending to readers, overly worshipful of scientists, or boring. I felt the authors mystified results or glorified the men who found them, rather than describing science itself and the process by which scientists made their connections. That was the part I actually wanted to know.

As I learned more science, I grew to love it. I didn’t always know that I would become a physicist and feel this way; no one I knew when I was young did science. But engaging with the unknown is irresistibly exciting. I found it thrilling to find connections between apparently disparate phenomena and to solve problems and predict surprising features of our world. As a physicist, I now understand that science is a living entity that continues to evolve. Not only the answers, but also the games and riddles and participation make it interesting.

When I decided to embark on this project, I envisioned a book that shares the excitement I feel about my work without compromising the presentation of the science. I hoped to convey the fascination of theoretical physics without simplifying the subject deceptively or presenting it as a collection of unchanging, finished monuments to be passively admired. Physics is far more creative and fun than people generally recognize. I wanted to share these aspects with people who hadn’t necessarily arrived at this realization on their own.

There’s a new world view pressing down upon us. Extra dimensions have changed the way physicists think about the universe. And because the connections of extra dimensions to the world could tie into many more well-established physics ideas, extra dimensions are a way to approach older, already-verified facts about the universe via new and intriguing pathways.

Some of the ideas I’ve included are abstract and speculative, but there’s no reason why they shouldn’t be understandable to anyone who is curious. I decided to let

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