ENGLISH

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

By Olav Arnfinn Laudal

Book information

Publisher
World Scientific Publishing Company
Year
2011
ISBN
981434334X, 9789814343343
Language
english
Format
PDF
Filesize
931 kB (952896 bytes)
Edition
1
Pages
154\154
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00

Description

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.

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