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Steinacker H. Quantum Geometry, Matrix Theory, and Gravity 2024

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Steinacker H. Quantum Geometry, Matrix Theory, and Gravity 2024

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Category: Other
Total size: 84.69 MB
Added: 2025-03-10 23:38:52

Share ratio: 4 seeders, 4 leechers
Info Hash: 608CD89D16BB32D55FAD05094AEBC44640A38A3B
Last updated: 6 hours ago

Description:

Textbook in PDF format 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