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Noncommutative Geometry
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High Quality Content by WIKIPEDIA articles! Noncommutative geometry, or NCG, is a branch of mathematics concerned with the possible spatial interpretations of algebraic structures for which the commutative law fails, that is, for which xy does not always equal yx. For example; 3 steps of 4 units and 4 steps of 3 units length might be different in noncommutative spaces. Although one could technically construct geometries by simply removing this condition (commutativity), the results are typically trivial or uninteresting. The most common usage of the term, therefore, refers to what is properly called differential noncommutative geometry, a subject which was developed extensively by French mathematician Alain Connes. The challenge of NCG theory is to get around the lack of commutative multiplication, which is a requirement of previous geometric theories of algebraic structures. The purpose of noncommutative geometry is as a key mathematical tool for describing Planck scale geometry, such as in the field of quantum gravity, string theory, or any NC quantum field theory including the first successful QFT, quantum electrodynamics.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130332839
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H220mm x B150mm x T8mm
- Jahr 2010
- EAN 9786130332839
- Format Kartonierter Einband
- ISBN 978-613-0-33283-9
- Titel Noncommutative Geometry
- Untertitel Algebraic Structure, Commutativity, Alain Connes, Planck Scale, Quantum Gravity, String Theory, Quantum Field Theory, Quantum Electrodynamics
- Gewicht 213g
- Herausgeber Betascript Publishers
- Anzahl Seiten 132
- Genre Mathematik
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