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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.
| Autorius: | Olav Arnfinn Laudal |
| Leidėjas: | World Scientific |
| Išleidimo metai: | 2011 |
| Knygos puslapių skaičius: | 154 |
| ISBN-10: | 981434334X |
| ISBN-13: | 9789814343343 |
| Formatas: | 235 x 157 x 13 mm. Knyga kietu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „GEOMETRY OF TIME-SPACES“
