The gravity of math How geometry rules the universe

Steven J. Nadis

Book - 2024

"On November 25th, 1915, Albert Einstein published his field equations of general relativity and reinvented gravity. Rather than being some mysterious unseen force pulling objects together, gravity, Einstein told the world, is a manifestation of the curvature of space-time caused by the presence of massive objects. But Einstein's theory wasn't born in a vacuum, not even the vacuum of space. Instead, the theory of general relativity relies upon complicated geometry; Einstein worked closely with mathematicians Marcel Grossmann, David Hilbert, Tullio Levi-Civita, and others as he pieced together his theory of gravity. In The Gravity of Math, the writer Steve Nadis and mathematician Shing-Tung Yau tell the story of how our view o...f the universe has been shaped and informed by mathematics, particularly when it comes to the enigmatic workings of gravity. Mathematicians have played a pivotal role in investigating relativity and gravity, gaining insights on phenomena like black holes, gravitational waves, and the Big Bang - in some cases uncovering key results decades, or even a century, before any experimental or observational data became available. An insightful and comprehensive study, The Gravity of Math explores how our understanding of math has defined our understanding of the universe. Gravity's reach is ostensibly boundless, and so is that of mathematics, which can carry us to the edge of infinity and back"--

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2nd Floor New Shelf 530.11/Nadis (NEW SHELF) Due Dec 7, 2024
Subjects
Genres
History
Popular works
Published
New York : Basic Books 2024.
Language
English
Main Author
Steven J. Nadis (author)
Other Authors
Shing-Tung Yau, 1949- (author), Mei-Heng Yueh (illustrator)
Edition
First edition
Physical Description
xvii, 251 pages : illustrations ; 22 cm
Bibliography
Includes bibliographical references and index.
ISBN
9781541604292
  • Preface
  • Prelude: There's More Than One Way to Slice a Cone
  • Chapter 1. Falling Objects, Shifting Paradigms
  • Chapter 2. Finding a General Path Forward
  • Chapter 3. The Magnus Opus
  • Chapter 4. A Most Singular Solution
  • Chapter 5. Chasing the Wave
  • Chapter 6. An Equation for the Whole Universe
  • Chapter 7. The Matter of Mass (and the Mass of Matter)
  • Chapter 8. The Quest for Unification
  • Postlude: Wherein the True Mystery Spot Lies
  • Afterword
  • Notes
  • Index
Review by Publisher's Weekly Review

Science journalist Nadis and Tsinghua University mathematician Yau follow up 2019's The Shape of a Life with an esoteric exploration of geometry's role in explaining gravity and the structure of the universe. The authors chronicle advances in physics and mathematics alongside highly technical discussions of the theory and details behind those advances. An overview of how Albert Einstein combined Bernhard Riemann's "ideas about curved space with Minkowski's concept of four-dimensional spacetime" to develop a theory of gravity is challenging yet comprehensible. The historical perspective intermittently intrigues, covering how astrophysicist Karl Schwarzschild first posited the existence of black holes in 1916, and how mathematician Theodor Kaluza's belief in "the presence of dimensions that have so far remained invisible" provided the premise for string theory. Unfortunately, discussions of more recent advances made by Stephen Hawking and Yau will be exceedingly difficult to grasp for most readers. For instance, the authors write of Yau's efforts in the late aughts to figure out the "conditions that a definition of quasilocal mass should satisfy": "The 'correct limit' realized at a point--after a procedure called normalization is done to obtain a nonzero limit--would, in fact, be the value of the stress-energy tensor at that point." This is best suited to those with advanced knowledge of the field. (Apr.)

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