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Gravitation and Noncommutativity of Spacetime

By Markku Oksanen

Gravitation and Noncommutativity of Spacetime

0 - Default Title
Description
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 Poincaré symmetry and aim at generalizing this point of view to noncommutative spacetimes. The important role of the Poincaré symmetry in relativistic physics is reviewed. The formulation of quantum field and gauge theories on noncommutative spacetime is presented, emphasizing the recently discovered twisted Poincaré 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 Poincaré symmetry as a gauge symmetry of gravitational theory on a noncommutative spacetime. This book is intended for researchers and students who are interested in gravitation and elementary particle physics.
Product details
Binding:
Paperback
Number of Pages:
108
Release Date:
2025-08-25
Publication Date:
2025-08-25
Publisher:
LAP LAMBERT Academic Publishing
Languages:
Original: English
ISBN10:
6208465249
ISBN13:
9786208465247
GPSR Manufacturer Reference:
[email protected]
Weight:
179 g
Height:
150 cm
Width:
220 cm
Thickness:
7 cm
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