Sagnac Eﬀect with Non-Zero Mass Particles and Light: the Transition from Classical to Relativistic

Mathieu Rouaud

doi:10.20944/preprints202208.0251.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 14 August 2022 / Approved: 15 August 2022 / Online: 15 August 2022 (07:48:44 CEST)
Version 2 : Received: 20 November 2022 / Approved: 21 November 2022 / Online: 21 November 2022 (04:23:34 CET)

On a rotating disk, two particles bounce at the vertices of a regular polygon in opposite directions. On the return to the entry point, a clock measures the time difference, called Sagnac effect. Due to Coriolis effects, the counterclockwise and clockwise paths are different. The particular case of the slow disk where the two trajectories are very close and almost polygonal is studied. The existence of a transition between a classical and a relativistic regime is proved. An experimental verification is proposed. Although the two Sagnac effects seem analogous, in detail their behavior is quite different.

Rotating Disk; Special Relativity; Sagnac, synchronization; metric; Coriolis; transition; classical

Physical Sciences, Theoretical Physics

Comment 1

Received: 21 November 2022
Commenter: Mathieu Rouaud
Commenter's Conflict of Interests: Author

Comment: A new experiment proposal with an atom gyrometer.

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Sagnac Eﬀect with Non-Zero Mass Particles and Light: the Transition from Classical to Relativistic

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