The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden DimensionsIl Saggiatore, 7 sep 2010 - 377 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
I | ix |
II | 1 |
III | 17 |
V | 39 |
VI | 77 |
VII | 103 |
VIII | 121 |
IX | 151 |
XII | 227 |
XIII | 253 |
XIV | 269 |
XV | 289 |
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Overige edities - Alles bekijken
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 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 Chern class circle compact compactification complex dimension complex numbers 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 gravity Harvard higher-dimensional idea ifolds infinite number INNER SPACE interview with author Kähler manifolds kind look loop M-theory mass math mathematician mathematics matter means mirror symmetry moduli move non-Kähler manifolds nonlinear object one-dimensional particles physicists physics plane Poincaré possible problem proof proved quantum mechanics Ricci curvature Riemann rotations says SHAPE OF INNER singularity six-dimensional solution solve spacetime Standard Model string theory submanifolds supersymmetry tangent bundle theorem there’s things three-dimensional tion topological torus University vacuum vector Yang-Mills zero