The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions

Front Cover
Basic Books, Sep 7, 2010 - Science - 400 pages
String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe.

Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.

 

What people are saying - Write a review

LibraryThing Review

User Review  - antao - LibraryThing

“The spaces Calabi envisioned not only were complex, but also had a special property called Kähler geometry. Riemann surfaces automatically qualify as Kähler, so the real meaning of the term only ... Read full review

LibraryThing Review

User Review  - fpagan - LibraryThing

From the horse's mouth, a qualitative but thorough account of the Calabi-Yau manifolds that mathematically model the compactification of the 6 extra spatial dimensions in string theory. Good stuff to ... Read full review

Contents

A Universe in the Margins
1
Geometry in the Natural Order
17
A New Kind of Hammer
39
Too Good to Be True
77
Proving Calabi
103
The DNA of String Theory
121
Through the Looking Glass
151
Kinks in Spacetime
183
Back to the Real World
199
Beyond CalabiYau
227
Epilogue
269
A Flash in the Middle of a Long Night Poem
329
Glossary
345
Index
359
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information