Relativity in Rotating Frames 2004
DOI: 10.1007/978-94-017-0528-8_11
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Isotropy of the Velocity of Light and the Sagnac Effect

Abstract: In this paper, it is shown, using a geometrical approach, the isotropy of the velocity of light measured in a rotating frame in the 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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Cited by 6 publications
(8 citation statements)
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“…While the world velocity of the particle depends on the Earth's rotation, the measurable velocity cannot exceed c (see explanations given in Refs. [52][53][54]). Some problems connected with the Sagnac effect have also considered in Refs.…”
Section: Manifestations Of Earth's Rotationmentioning
confidence: 99%
“…While the world velocity of the particle depends on the Earth's rotation, the measurable velocity cannot exceed c (see explanations given in Refs. [52][53][54]). Some problems connected with the Sagnac effect have also considered in Refs.…”
Section: Manifestations Of Earth's Rotationmentioning
confidence: 99%
“…A number of studies suggest that locally co-moving inertial frames, each of which manifest differential simultaneity, will generate an overt Sagnac effect when integrated over a full rotation, suggesting that differential simultaneity is present in rotating frames. [64][65][66][67]92 Other studies support differential simultaneity in rotating frames by suggesting that the time gap (which results from differential simultaneity) generates the observed Sagnac effect. 61,[93][94][95][96][97] The time gap arises when time is offset with distance over a circumference, which generates a time discontinuity between the adjacent starting and ending points that were used for calculating the time offset.…”
Section: Discussionmentioning
confidence: 94%
“…This description of how Sagnac equations are linked to relativistic conditions is important because multiple papers in the literature state that a variant Sag 1AS equation is the valid Sagnac equation, e.g. see ( [62][63][64][65][66][67] ). Sag 1AS has been referred to as the relativistic form of the Sagnac equation.…”
Section: Sagnac Equations Form a Relativistic Seriesmentioning
confidence: 99%
“…However, these approaches do not generate the conventional Sag 2AS equation. [61][62][63][64][65] The majority of LCIF approaches generate Sag 1AS , [61][62][63][64] which is associated with the anisotropic two-way speed of light of the Langevin metric and Post rT that is invalidated by optical resonator data. Approaches to derive the Sagnac effect by utilizing the Langevin metric or Minkowski (LT) spacetime in a GR-based approach in the absence of spacetime curvature also generate the experimentally invalidated Sag 0AS or Sag 1AS 66, 67 (and see Sec.…”
Section: Application Of the Lt To Rotating Framesmentioning
confidence: 99%