Geometry Of Time-spaces: Non-commutative Algebraic Geometry, Applied To Quantum Theory
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A01=Olav Arnfinn Laudal
Author_Olav Arnfinn Laudal
Category=PBMW
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Non-Commutative Algebraic Geometry
Quantum Theory
Time-Spaces
Product details
- ISBN 9789814343343
- Publication Date: 22 Mar 2011
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
