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About Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory
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.
Detailed Information
| Author: | Olav Arnfinn Laudal |
|---|---|
| Publication Year: | 2011 |
| ISBN: | 9789814343343 |
| Pages: | 154 |
| Language: | English |
| File Size: | 0.909 |
| Format: | |
| Price: | FREE |
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