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Isotropy of the Velocity of Light and the Sagnac Effect

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Relativity in Rotating Frames

Abstract

In this paper, it is shown, using a geometrical approach, the isotropy of the velocity of light measured in a rotating frame in Minkowski space-time, and it is verified that this result is compatible with the Sagnac effect. Furthermore, we find that this problem can be reduced to the solution of geodesic triangles in a Minkowskian cylinder. A relationship between the problems established on the cylinder and on the Minkowskian plane is obtained through a local isometry.

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Pascual-Sánchez, JF., Miguel, A.S., Vicente, F. (2004). Isotropy of the Velocity of Light and the Sagnac Effect. In: Rizzi, G., Ruggiero, M.L. (eds) Relativity in Rotating Frames. Fundamental Theories of Physics, vol 135. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0528-8_11

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  • DOI: https://doi.org/10.1007/978-94-017-0528-8_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6514-8

  • Online ISBN: 978-94-017-0528-8

  • eBook Packages: Springer Book Archive

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