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Gravitation and Noncommutativity of Spacetime


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Год выпуска: 2010
Автор: Markku Oksanen
Издательство: LAP Lambert Academic Publishing
Страниц: 108
ISBN: 9783838306001
Описание
 It is generally believed that the structure of spacetime as a classical manifold will cease to exist at distances of the order of the Planck length. A theory of gravitation on a noncommutative spacetime could be compatible with quantum mechanics and capture the expected nonlocality of physics at very small distances, while reproducing Einstein''s general relativity at long distances. We consider gravitation as a gauge theory of the Poincare symmetry and aim at generalizing this point of view to noncommutative spacetimes. The important role of the Poincare symmetry in relativistic physics is reviewed. The formulation of quantum field and gauge theories on noncommutative spacetime is presented, emphasizing the recently discovered twisted Poincare symmetry of these theories. Some formulations of gravitation on noncommutative spacetimes proposed in the literature are also discussed. Finally, we study the possibility to formulate the twisted Poincare symmetry as a gauge symmetry of...

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