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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 deriv...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Laudal, Olav Arnfinn
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, N.J. : World Scientific, ©2011.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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
Descripción Física:1 online resource (x, 143 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 137-143) and index.
ISBN:9789814343350
9814343358
1283234998
9781283234993
9786613234995
6613234990