Geometry of Time-Spaces : Non-Commutative Algebraic Geometry, Applied to Quantum Theory

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9789814343343: Geometry of Time-Spaces : Non-Commutative Algebraic Geometry, Applied to Quantum Theory
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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.

Readership: Researchers in geometry and quantum physics.

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"Geometry of Time-Spaces is a labor of love on the part of a scholar who has a deep idea to promote; it's a very interesting idea indeed, and relates to some very important avant garde topics. It is indeed a fascinating piece of work, well worth reading." -- MAA Reviews

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2011. Hardback. Condition: New. Language: English . Brand New Book. 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. Seller Inventory # AAC9789814343343

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2011. Hardback. Condition: New. Language: English . Brand New Book. 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. Seller Inventory # AAC9789814343343

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Book Description World Scientific Publishing Co Pte Ltd. Hardback. Condition: new. BRAND NEW, Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory, Olav Arnfinn Laudal, 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. Seller Inventory # B9789814343343

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