Topics in Noncommutative Geometry Inspired Physics
نویسندگان
چکیده
منابع مشابه
Topics in Noncommutative Geometry Inspired Physics
In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative many-body systems, noncommutative extension of Special Theory of Relativity kinematics, twisted gauge theories and noncommutative gravity.
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The two existing theories which successfully encode our knowledge of space-time are : • General Relativity • The Standard Model General relativity describes space-time as far as large scales are concerned (cf. Figure 1 and [2] for many more suggestive thoughts and pictures) and is based on the geometric paradigm discovered by Riemann. It replaces the flat (pseudo) metric of Poincaré, Einstein, ...
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Noncommutative geometry (NCG) is a mathematical tool which has been used in the search for a quantum theory of gravity. However, its application is not limited to this field. In this brief note we present different uses of NCG in Theoretical Physics.
متن کاملSome Aspects of Noncommutative Geometry and Physics
An introduction is given to some selected aspects of noncommutative geometry. Simple examples in this context are provided by finite sets and lattices. As an application, it is explained how the nonlinear Toda lattice and a discrete time version of it can be understood as generalized σ-models based on noncommutative geometries. In particular, in this way one achieves a simple understanding of t...
متن کاملRemarks on Quantum Physics and Noncommutative Geometry
The quantum-event / prime ideal in a category/ noncommutative-point alternative to classical-event / commutative prime ideal/ point is suggested. Ideals in additive categories, prime spectra and representation of quivers are considered as mathematical tools appropriate to model quantum mechanics. The space-time framework is to be reconstructed from the spectrum of the path category of a quiver....
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ژورنال
عنوان ژورنال: Foundations of Physics
سال: 2009
ISSN: 0015-9018,1572-9516
DOI: 10.1007/s10701-009-9349-y