Geometry of Time-Spaces Non-Commutative Algebraic Geometry, Applied to Quantum Theory |
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| Author:
| Laudal, Olav Arnfinn |
| ISBN: | 978-981-4343-35-0 |
| Publication Date: | Mar 2011 |
| Publisher: | World Scientific Publishing Co Pte Ltd
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| Book Format: | Digital (delivered electronically) |
| List Price: | USD $111.00 |
Book Description:
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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...
More DescriptionThis 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.