Geometry of time-spaces: non-commutative algebraic geometry, applied to quantum theory
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
c2011
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| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 137-143) and index 1. Introduction. 1.1. Philosophy. 1.2. Phase spaces, and the Dirac derivation. 1.3. Non-commutative algebraic geometry, and moduli of simple modules. 1.4. Dynamical structures. 1.5. Quantum fields and dynamics. 1.6. Classical quantum theory. 1.7. Planck's constants, and Fock space. 1.8. General quantum fields, Lagrangians and actions. 1.9. Grand picture. Bosons, fermions, and supersymmetry. 1.10. Connections and the generic dynamical structure. 1.11. Clocks and classical dynamics. 1.12. Time-space and space-times. 1.13. Cosmology, big bang and all that. 1.14. Interaction and non-commutative algebraic geometry. 1.15. Apology -- 2. Phase spaces and the Dirac derivation. 2.1. Phase spaces. 2.2. The Dirac derivation -- 3. Non-commutative deformations and the structure of the Moduli space of simple representations. 3.1. Non-commutative deformations. 3.2. The O-construction. 3.3. Iterated extensions. 3.4. Non-commutative schemes. Morphisms, Hilbert schemes, fields and strings -- 4. Geometry of time-spaces and the general dynamical law. 4.1. Dynamical structures. 4.2. Quantum fields and dynamics. 4.3. Classical quantum theory. 4.4. Planck's Constant(s) and Fock space. 4.5. General quantum fields, Lagrangians and actions. 4.6. Grand picture : Bosons, fermions, and supersymmetry. 4.7. Connections and the generic dynamical structure. 4.8. Clocks and classical dynamics. 4.9. Time-space and space-times. 4.10. Cosmology, big bang and all that -- 5. Interaction and non-commutative algebraic geometry. 5.1. Interactions. 5.2. Examples and some ideas This is a monograph about non-commutative algebraic geometry, and its application to physics. The main mathematical inputs are the non-commutative deformation theory, moduli theory of representations of associative algebras, a new non-commutative theory of phase spaces, and its canonical Dirac derivation. The book starts with a new definition of time, relative to which the set of mathematical velocities form a compact set, implying special and general relativity. With this model in mind, a general Quantum Theory is developed and shown to fit with the classical theory. In particular the "toy"-model used as example, contains, as part of the structure, the classical gauge groups u(1), su(2) and su(3), and therefore also the theory of spin and quarks, etc |
| Beschreibung: | 1 Online-Ressource (x, 143 p.) |
| ISBN: | 9789814343343 9789814343350 981434334X 9814343358 |
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| 500 | |a Includes bibliographical references (p. 137-143) and index | ||
| 500 | |a 1. Introduction. 1.1. Philosophy. 1.2. Phase spaces, and the Dirac derivation. 1.3. Non-commutative algebraic geometry, and moduli of simple modules. 1.4. Dynamical structures. 1.5. Quantum fields and dynamics. 1.6. Classical quantum theory. 1.7. Planck's constants, and Fock space. 1.8. General quantum fields, Lagrangians and actions. 1.9. Grand picture. Bosons, fermions, and supersymmetry. 1.10. Connections and the generic dynamical structure. 1.11. Clocks and classical dynamics. 1.12. Time-space and space-times. 1.13. Cosmology, big bang and all that. 1.14. Interaction and non-commutative algebraic geometry. 1.15. Apology -- 2. Phase spaces and the Dirac derivation. 2.1. Phase spaces. 2.2. The Dirac derivation -- 3. Non-commutative deformations and the structure of the Moduli space of simple representations. 3.1. Non-commutative deformations. 3.2. The O-construction. 3.3. Iterated extensions. 3.4. Non-commutative schemes. Morphisms, Hilbert schemes, fields and strings -- 4. Geometry of time-spaces and the general dynamical law. 4.1. Dynamical structures. 4.2. Quantum fields and dynamics. 4.3. Classical quantum theory. 4.4. Planck's Constant(s) and Fock space. 4.5. General quantum fields, Lagrangians and actions. 4.6. Grand picture : Bosons, fermions, and supersymmetry. 4.7. Connections and the generic dynamical structure. 4.8. Clocks and classical dynamics. 4.9. Time-space and space-times. 4.10. Cosmology, big bang and all that -- 5. Interaction and non-commutative algebraic geometry. 5.1. Interactions. 5.2. Examples and some ideas | ||
| 500 | |a This is a monograph about non-commutative algebraic geometry, and its application to physics. The main mathematical inputs are the non-commutative deformation theory, moduli theory of representations of associative algebras, a new non-commutative theory of phase spaces, and its canonical Dirac derivation. The book starts with a new definition of time, relative to which the set of mathematical velocities form a compact set, implying special and general relativity. With this model in mind, a general Quantum Theory is developed and shown to fit with the classical theory. In particular the "toy"-model used as example, contains, as part of the structure, the classical gauge groups u(1), su(2) and su(3), and therefore also the theory of spin and quarks, etc | ||
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| 650 | 7 | |a Théorie quantique |2 ram | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 4 | |a Noncommutative differential geometry | |
| 650 | 4 | |a Quantum theory | |
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Datensatz im Suchindex
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| discipline | Physik |
| format | Electronic eBook |
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| isbn | 9789814343343 9789814343350 981434334X 9814343358 |
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| spelling | Laudal, Olav Arnfinn Verfasser aut Geometry of time-spaces non-commutative algebraic geometry, applied to quantum theory Olav Arnfinn Laudal Singapore World Scientific c2011 1 Online-Ressource (x, 143 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 137-143) and index 1. Introduction. 1.1. Philosophy. 1.2. Phase spaces, and the Dirac derivation. 1.3. Non-commutative algebraic geometry, and moduli of simple modules. 1.4. Dynamical structures. 1.5. Quantum fields and dynamics. 1.6. Classical quantum theory. 1.7. Planck's constants, and Fock space. 1.8. General quantum fields, Lagrangians and actions. 1.9. Grand picture. Bosons, fermions, and supersymmetry. 1.10. Connections and the generic dynamical structure. 1.11. Clocks and classical dynamics. 1.12. Time-space and space-times. 1.13. Cosmology, big bang and all that. 1.14. Interaction and non-commutative algebraic geometry. 1.15. Apology -- 2. Phase spaces and the Dirac derivation. 2.1. Phase spaces. 2.2. The Dirac derivation -- 3. Non-commutative deformations and the structure of the Moduli space of simple representations. 3.1. Non-commutative deformations. 3.2. The O-construction. 3.3. Iterated extensions. 3.4. Non-commutative schemes. Morphisms, Hilbert schemes, fields and strings -- 4. Geometry of time-spaces and the general dynamical law. 4.1. Dynamical structures. 4.2. Quantum fields and dynamics. 4.3. Classical quantum theory. 4.4. Planck's Constant(s) and Fock space. 4.5. General quantum fields, Lagrangians and actions. 4.6. Grand picture : Bosons, fermions, and supersymmetry. 4.7. Connections and the generic dynamical structure. 4.8. Clocks and classical dynamics. 4.9. Time-space and space-times. 4.10. Cosmology, big bang and all that -- 5. Interaction and non-commutative algebraic geometry. 5.1. Interactions. 5.2. Examples and some ideas This is a monograph about non-commutative algebraic geometry, and its application to physics. The main mathematical inputs are the non-commutative deformation theory, moduli theory of representations of associative algebras, a new non-commutative theory of phase spaces, and its canonical Dirac derivation. The book starts with a new definition of time, relative to which the set of mathematical velocities form a compact set, implying special and general relativity. With this model in mind, a general Quantum Theory is developed and shown to fit with the classical theory. In particular the "toy"-model used as example, contains, as part of the structure, the classical gauge groups u(1), su(2) and su(3), and therefore also the theory of spin and quarks, etc SCIENCE / Physics / Mathematical & Computational bisacsh Géométrie algébrique ram Géométrie différentielle non commutative ram Théorie quantique ram Quantentheorie Geometry, Algebraic Noncommutative differential geometry Quantum theory http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=389632 Aggregator Volltext |
| spellingShingle | Laudal, Olav Arnfinn Geometry of time-spaces non-commutative algebraic geometry, applied to quantum theory SCIENCE / Physics / Mathematical & Computational bisacsh Géométrie algébrique ram Géométrie différentielle non commutative ram Théorie quantique ram Quantentheorie Geometry, Algebraic Noncommutative differential geometry Quantum theory |
| title | Geometry of time-spaces non-commutative algebraic geometry, applied to quantum theory |
| title_auth | Geometry of time-spaces non-commutative algebraic geometry, applied to quantum theory |
| title_exact_search | Geometry of time-spaces non-commutative algebraic geometry, applied to quantum theory |
| title_full | Geometry of time-spaces non-commutative algebraic geometry, applied to quantum theory Olav Arnfinn Laudal |
| title_fullStr | Geometry of time-spaces non-commutative algebraic geometry, applied to quantum theory Olav Arnfinn Laudal |
| title_full_unstemmed | Geometry of time-spaces non-commutative algebraic geometry, applied to quantum theory Olav Arnfinn Laudal |
| title_short | Geometry of time-spaces |
| title_sort | geometry of time spaces non commutative algebraic geometry applied to quantum theory |
| title_sub | non-commutative algebraic geometry, applied to quantum theory |
| topic | SCIENCE / Physics / Mathematical & Computational bisacsh Géométrie algébrique ram Géométrie différentielle non commutative ram Théorie quantique ram Quantentheorie Geometry, Algebraic Noncommutative differential geometry Quantum theory |
| topic_facet | SCIENCE / Physics / Mathematical & Computational Géométrie algébrique Géométrie différentielle non commutative Théorie quantique Quantentheorie Geometry, Algebraic Noncommutative differential geometry Quantum theory |
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