The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden DimensionsBasic Books, 7 sep 2010 - 400 pagina's 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. |
Inhoudsopgave
| 1 | |
| 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 |
Overige edities - Alles bekijken
The Shape of Inner Space: String Theory and the Geometry of the Universe's ... Shing-Tung Yau,Steven J. Nadis Gedeeltelijke weergave - 2010 |
The Shape of Inner Space: String Theory and the Geometry of the Universe's ... Shing-Tung Yau,Steve Nadis Gedeeltelijke weergave - 2010 |
The Shape of Inner Space: String Theory and the Geometry of the Universe's ... Shing-Tung Yau,Steve Nadis Geen voorbeeld beschikbaar - 2012 |
Veelvoorkomende woorden en zinsdelen
algebraic Andrew Strominger black hole branes Brian Greene bubble Calabi conjecture Calabi-Yau manifolds Calabi-Yau spaces called Candelas Chapter Chern class circle compact compactification complex dimension conifold cosmic strings Cumrun Vafa curve D-branes describe differential equations dimensional donut Edward Witten Einstein energy entropy Euclidean Euler characteristic example extra dimensions field theory flat forces four dimensions four-dimensional function gauge fields geometric analysis geometry Gepner gravity Harvard higher-dimensional idea ifolds infinite number interview with author Kähler manifolds kind look loop M-theory mass math mathematician mathematics matter means metric mirror symmetry move Newton’s non-Kähler manifolds nonlinear object one-dimensional Ovrut particles physicists physics plane Poincaré possible problem proof proved quantum mechanics Ricci curvature Ricci-flat Riemann rotations says shape singularity six-dimensional solution solve spacetime Standard Model string theory submanifolds supersymmetry tangent bundle theorem there’s things three-dimensional tion topological torus trying University vacuum vector what’s Yang-Mills zero