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Group theory and general relativity : representations of the Lorentz group and their applications to the gravitational field
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ISBN: 1860942342 Year: 2000 Publisher: River Edge, NJ : Imperial College Press,

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Book
Special relativity for physicists
Authors: ---
Year: 1958 Publisher: London : Longmans, Green,

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Group theory and general relativity: representations of the Lorentz group and their applications to the gravitational field
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ISBN: 0070099863 9780070099869 Year: 1977 Publisher: New York, N.Y. McGraw-Hill


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Harmonic analysis: on the n-dimensional Lorentz group and its application to conformal quantum field theory
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ISBN: 354008150X 038708150X 3540373810 9783540081500 Year: 1977 Volume: 63 Publisher: Berlin


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Tests of Lorentz Invariance with an Optical Ring Cavity
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ISBN: 981103740X 9811037396 Year: 2017 Publisher: Singapore : Springer Singapore : Imprint: Springer,

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This thesis describes one of the most precise experimental tests of Lorentz symmetry in electrodynamics by light-speed anisotropy measurement with an asymmetric optical ring cavity. The author aims to answer the fundamental, hypothetical debate on Lorentz symmetry in the Universe. He concludes that the symmetry is protected within an error of 10-15, which means providing one of the most stringent upper limits on the violation of the Lorentz symmetry in the framework of the Standard Model Extension. It introduces the following three keys which play an important role in achieving high-precision measurement: (1) a high-index element (silicon) interpolated into part of the light paths in the optical ring cavity, which improves sensitivity to the violation of the Lorentz symmetry, (2) double-pass configuration of the interferometer, which suppresses environmental noises, and (3) continuous data acquisition by rotating the optical ring cavity, which makes it possible to search for higher-order violations of Lorentz symmetry. In addition to those well-described keys, a comprehensive summary from theoretical formulations to experimental design details, data acquisition, and data analysis helps the reader follow up the experiments precisely.

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