Quantum geometry, matrix theory, and gravity:
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 hel...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom ; New York, NY
Cambridge University Press
2024
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| Schlagworte: | |
| Online-Zugang: | DE-12 DE-634 DE-92 DE-706 URL des Erstveröffentlichers |
| Zusammenfassung: | 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. |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 04 Apr 2024) |
| Beschreibung: | 1 Online-Ressource (xvi 402 Seiten) |
| ISBN: | 9781009440776 |
| DOI: | 10.1017/9781009440776 |
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| 520 | 3 | |a 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. | |
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Datensatz im Suchindex
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| id | DE-604.BV049690093 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-03T00:34:18Z |
| institution | BVB |
| isbn | 9781009440776 |
| language | English |
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| physical | 1 Online-Ressource (xvi 402 Seiten) |
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| spelling | Steinacker, Harold C. Verfasser (DE-588)1334229414 aut Quantum geometry, matrix theory, and gravity Harold C. Steinacker Cambridge, United Kingdom ; New York, NY Cambridge University Press 2024 1 Online-Ressource (xvi 402 Seiten) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 04 Apr 2024) 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. Geometric quantization Gravity / Mathematical models String models Matrices Erscheint auch als Druck-Ausgabe, Hardcover 978-1-009-44078-3 https://doi.org/10.1017/9781009440776 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Steinacker, Harold C. Quantum geometry, matrix theory, and gravity |
| title | Quantum geometry, matrix theory, and gravity |
| title_auth | Quantum geometry, matrix theory, and gravity |
| title_exact_search | Quantum geometry, matrix theory, and gravity |
| title_full | Quantum geometry, matrix theory, and gravity Harold C. Steinacker |
| title_fullStr | Quantum geometry, matrix theory, and gravity Harold C. Steinacker |
| title_full_unstemmed | Quantum geometry, matrix theory, and gravity Harold C. Steinacker |
| title_short | Quantum geometry, matrix theory, and gravity |
| title_sort | quantum geometry matrix theory and gravity |
| url | https://doi.org/10.1017/9781009440776 |
| work_keys_str_mv | AT steinackerharoldc quantumgeometrymatrixtheoryandgravity |