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612-822-4611
Massless Representations of the Poincare Group: Electromagnetism, Gravitation, Quantum Mechanics, Geometry

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

Paperback

Physics

Publisher Price: $17.95

ISBN10: 0595341241
ISBN13: 9780595341245
Publisher: Authorhouse
Published: May 5 2005
Pages: 236
Weight: 0.77
Height: 0.54 Width: 6.00 Depth: 9.00
Language: English
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.

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