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Quantum Geometry, Matrix Theory, and Gravity
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Quantum Geometry, Matrix Theory, and Gravity Hardback - 2024

by Harold C. Steinacker

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From the publisher

Building on mathematical structures familiar from quantum mechanics, this book provides an introduction to quantization in a broad context before developing a framework for quantum geometry in Matrix Theory and string theory. Taking a physics-oriented approach to quantum geometry, this framework helps explain the physics of Yang-Mills-type matrix models, leading to a quantum theory of space-time and matter. This novel framework is then applied to Matrix Theory, which is defined through distinguished maximally supersymmetric matrix models related to string theory. A mechanism for gravity is discussed in depth, which emerges as a quantum effect on quantum space-time within Matrix Theory. Using explicit examples and exercises, readers will develop a physical intuition for the mathematical concepts and mechanisms. It will benefit advanced students and researchers in theoretical and mathematical physics, and is a useful resource for physicists and mathematicians interested in the geometrical aspects of quantization in a broader context.

Details

  • Title Quantum Geometry, Matrix Theory, and Gravity
  • Author Harold C. Steinacker
  • Binding Hardback
  • Pages 420
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2024-04-11
  • Features Bibliography, Index
  • ISBN 9781009440783 / 1009440780
  • Weight 2.07 lbs (0.94 kg)
  • Dimensions 10 x 7 x 0.94 in (25.40 x 17.78 x 2.39 cm)
  • Category Science
  • Library of Congress subjects Matrices, String models
  • Library of Congress Catalogue Number 2024002976
  • Dewey Decimal Code 530.15

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Citations

  • Choice, 03/01/2025, Page 0
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Quantum Geometry, Matrix Theory, and Gravity
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QUANTUM GEOMETRY, MATRIX THEORY, AND GRAVITY
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