Geometry of time-spaces : non-commutative algebraic geometry, applied to quantum theory /
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| Author / Creator: | Laudal, Olav Arnfinn. |
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| Imprint: | Singapore ; Hackensack, N.J. : World Scientific, c2011. |
| Description: | x, 143 p. : ill. ; 24 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8437489 |
| Summary: | 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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| Physical Description: | x, 143 p. : ill. ; 24 cm. |
| Bibliography: | Includes bibliographical references (p. 137-143) and index. |
| ISBN: | 9789814343343 981434334X |
