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UFN, 2000 Volume 170, Number 12, Pages 1325–1349 (Mi ufn1825)

This article is cited in 252 papers

METHODOLOGICAL NOTES

The Sagnac effect: correct and incorrect explanations

G. B. Malykin

Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod

Abstract: Different explanations for the Sagnac effect are discussed. It is shown that this effect is a consequence of the relativistic law of velocity composition and that it can also be explained adequately within the framework of general relativity. When certain restrictions on the rotational velocity are imposed, the Sagnac effect can be attributed to the difference in the time dilation (or phase change) of material particle wave functions in the scalar (or correspondingly vector) gravitational potential of the inertial forces in a rotating reference system for counterpropagating waves. It is also shown that all the nonrelativistic interpretations of the Sagnac effect, which are unfortunately sometimes found in scientific papers, monographs and textbooks, are wrong in principle, even though the results they yield are accurate up to relativistic corrections in some special cases.

PACS: 01.65.+g, 03.30.+p, 07.60.Ly, 42.87.Bg

Received: July 19, 2000

DOI: 10.3367/UFNr.0170.200012c.1325


 English version:
Physics–Uspekhi, 2000, 43:12, 1229–1252

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© Steklov Math. Inst. of RAS, 2026