Geometry of time-spaces : non-commutative algebraic geometry, applied to quantum theory /

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Bibliographic Details
Author / Creator:	Laudal, Olav Arnfinn.
Imprint:	Singapore ; Hackensack, N.J. : World Scientific, ©2011.
Description:	1 online resource (x, 143 pages) : illustrations
Language:	English
Subject:	Geometry, Algebraic. Noncommutative differential geometry. Quantum theory. Geometry, Algebraic. Noncommutative differential geometry. Quantum theory. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11277840

Hidden Bibliographic Details
ISBN:	9789814343350 9814343358 9789814343343 981434334X 1283234998 9781283234993 9786613234995 6613234990
Digital file characteristics:	data file
Notes:	Includes bibliographical references (pages 137-143) and index. English. Print version record.
Summary:	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.
Other form:	Print version: Laudal, Olav Arnfinn. Geometry of time-spaces. Singapore ; Hackensack, N.J. : World Scientific, ©2011 9789814343343

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