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

Olav Arnfinn, Audal,

 
9789814343343: Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory
Couverture souple
ISBN 10 : 981434334X ISBN 13 : 9789814343343
Editeur : World Scientific Publishing Company, 2011

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Company
Date d'édition
2011
Langue
anglais
ISBN 10 
981434334X
ISBN 13 
9789814343343
Reliure
Broché
Nombre de pages
156
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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