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

Laudal Olav Arnfinn

ISBN 10: 981434334X / ISBN 13: 9789814343343

Published by World Scientific Publishing Company, Incorporated, 2011

About this Item

pp. x + 143 Illus.

Seller Inventory # 5458944

Bibliographic Details

• Title: Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory
• Publisher: World Scientific Publishing Company, Incorporated
• Publication Date: 2011
• Language: English
• ISBN 10: 981434334X
• ISBN 13: 9789814343343
• Binding: Soft cover
• Condition: Used

About this title

Synopsis

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.

From the Back Cover

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.