the shape of inner space string theory and the geometry of the universe s hidden dimensions

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The Shape Of Inner Space

Author : Shing-Tung Yau
ISBN : 9780465020232
Genre : Mathematics
File Size : 25. 55 MB
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Argues that geometry is fundamental to string theory--which posits that we live in a 10-dimensional existence--as well as the very nature of the universe, and explains where mathematics will take string theory next.

The Shape Of Inner Space

Author : Shing-Tung Yau
ISBN : 9780465022663
Genre : Science
File Size : 47. 12 MB
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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.

Calabi Yau Manifolds And Related Geometries

Author : Mark Gross
ISBN : 9783642190049
Genre : Mathematics
File Size : 70. 48 MB
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This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS

A History In Sum

Author : Steve Nadis
ISBN : 9780674727892
Genre : Mathematics
File Size : 23. 17 MB
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In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard's mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics--in algebraic geometry, complex analysis, and other esoteric subdisciplines that are rarely written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics--an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce's successors transformed the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Influential figures soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.

Elements Of Noncommutative Geometry

Author : Jose M. Gracia-Bondia
ISBN : 9781461200055
Genre : Mathematics
File Size : 80. 86 MB
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Three Roads To Quantum Gravity

Author : Lee Smolin
ISBN : 9780465013241
Genre : Science
File Size : 24. 77 MB
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"It would be hard to imagine a better guide to this difficult subject."--Scientific American In Three Roads to Quantum Gravity, Lee Smolin provides an accessible overview of the attempts to build a final "theory of everything." He explains in simple terms what scientists are talking about when they say the world is made from exotic entities such as loops, strings, and black holes and tells the fascinating stories behind these discoveries: the rivalries, epiphanies, and intrigues he witnessed firsthand. "Provocative, original, and unsettling." -The New York Review of Books "An excellent writer, a creative thinker."-Nature

From The Great Wall To The Great Collider

Author : Steven J. Nadis
ISBN : 1571463100
Genre : Higgs bosons
File Size : 78. 22 MB
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The 2012 discovery of the Higgs boson was a sensational triumph—the culmination of a 48-year-long search that put the finishing touches on the so-called “Standard Model” of particle physics. While the celebrations were still underway, researchers in China were making plans to continue the centuries-old quest to identify the fundamental building blocks of nature. More specifically, they began laying the groundwork for a giant accelerator—up to 100 kilometers in circumference—that would transport physics into a previously inaccessible, high-energy realm where a host of new particles, and perhaps a sweeping new symmetry, might be found. The case for such an instrument is compelling: Even though the Standard Model can describe the behavior of particles with astounding accuracy, it is incomplete. The theory has little to say about the Big Bang, gravity, dark matter, dark energy, and other far-reaching phenomena. This book explains how an ambitious new machine—on the scale of China’s proposed “Great Collider”—could provide us with a fuller understanding of the origins of our universe and its most basic constituents.

The Little Book Of String Theory

Author : Steven S. Gubser
ISBN : 1400834430
Genre : Science
File Size : 88. 24 MB
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The Little Book of String Theory offers a short, accessible, and entertaining introduction to one of the most talked-about areas of physics today. String theory has been called the "theory of everything." It seeks to describe all the fundamental forces of nature. It encompasses gravity and quantum mechanics in one unifying theory. But it is unproven and fraught with controversy. After reading this book, you'll be able to draw your own conclusions about string theory. Steve Gubser begins by explaining Einstein's famous equation E = mc2 , quantum mechanics, and black holes. He then gives readers a crash course in string theory and the core ideas behind it. In plain English and with a minimum of mathematics, Gubser covers strings, branes, string dualities, extra dimensions, curved spacetime, quantum fluctuations, symmetry, and supersymmetry. He describes efforts to link string theory to experimental physics and uses analogies that nonscientists can understand. How does Chopin's Fantasie-Impromptu relate to quantum mechanics? What would it be like to fall into a black hole? Why is dancing a waltz similar to contemplating a string duality? Find out in the pages of this book. The Little Book of String Theory is the essential, most up-to-date beginner's guide to this elegant, multidimensional field of physics.

The Hidden Reality

Author : Brian Greene
ISBN : 9780307595256
Genre : Science
File Size : 43. 35 MB
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The bestselling author of The Elegant Universe and The Fabric of the Cosmos tackles perhaps the most mind-bending question in modern physics and cosmology: Is our universe the only universe? There was a time when "universe" meant all there is. Everything. Yet, a number of theories are converging on the possibility that our universe may be but one among many parallel universes populating a vast multiverse. Here, Briane Greene, one of our foremost physicists and science writers, takes us on a breathtaking journey to a multiverse comprising an endless series of big bangs, a multiverse with duplicates of every one of us, a multiverse populated by vast sheets of spacetime, a multiverse in which all we consider real are holographic illusions, and even a multiverse made purely of math--and reveals the reality hidden within each. Using his trademark wit and precision, Greene presents a thrilling survey of cutting-edge physics and confronts the inevitable question: How can fundamental science progress if great swaths of reality lie beyond our reach? The Hidden Reality is a remarkable adventure through a world more vast and strange than anything we could have imagined.

The 50 Most Extreme Places In Our Solar System

Author : David Baker
ISBN : 0674049985
Genre : Science
File Size : 23. 37 MB
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Explains the solar system in terms of storms, natural disasters, volcanoes, hail, tornadoes, and the possibility of life on other planets.

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