Massless Representations of the Poincaré Group: Electromagnetism, Gravitation, Quantum Mechanics, Geometry - Ronald Mirman - Books - iUniverse - 9780595341245 - May 5, 2005
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Massless Representations of the Poincaré Group: Electromagnetism, Gravitation, Quantum Mechanics, Geometry

Ronald Mirman

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Massless Representations of the Poincaré Group: Electromagnetism, Gravitation, Quantum Mechanics, Geometry

Geometry through its fundamental transformations, the Poincaré group, requires that wavefunctions belong to representations. Massless and massive representations are very different and their coupling almost impossible. Helicity-1 gives electromagnetism, helicity-2 gives gravitation; no higher helicities are possible. Basis states, thus the fundamental fields, are the potential and connection. General relativity is derived and is the unique theory of gravity, thus the only possible quantum theory of gravity. It is explained why it is. Because of transformations trajectories must be geodesics. Momenta are covariant derivatives and must commute. Covariant derivatives of the metric are zero.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released May 5, 2005
ISBN13 9780595341245
Publishers iUniverse
Pages 232
Dimensions 150 × 13 × 224 mm   ·   349 g
Language English