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

Olav Arnfinn, Audal,

 
9789814343343: Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory

Sinossi

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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Recensione

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

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