Your derivation leads to this formula:

dt = 4ωA/c^2

This is the CORIOLIS EFFECT formula.

Here is a direct derivation of the same formula using only the Coriolis force:

https://www.ias.ac.in/article/fulltext/pram/087/05/0071The derivation has NO LOOPS at all.

Just a comparison of two sides.

Here is a step by step explanation of how your formula does not make use of LOOPS, which are required in the SAGNAC EFFECT:

https://www.theflatearthsociety.org/forum/index.php?topic=79637.msg2148651#msg2148651*Don't even bother bringing up studies/papers which utilise phase conjugate mirrors as that has no relevance to a interferometer without them.*Please update your knowledge on the subject.

page 152 of the pdf document, section Recent Advances in Photorefractive Nonlinear Optics page 4

**The MPPC acts like a normal mirror and Sagnac interferometry is obtained. **Here is the explanation for the stationary loop:

https://www.theflatearthsociety.org/forum/index.php?topic=30499.msg2153966#msg2153966The uniform/translational/linear Sagnac is a fact of science, look up Professor Ruyong Wang's seminal paper on the subject.

Or use the paper provided by your tag team partner.

*Bringing up phase conjugate mirrors does not help your case.*Please update your knowledge on the subject.

page 152 of the pdf document, section Recent Advances in Photorefractive Nonlinear Optics page 4

**The MPPC acts like a normal mirror and Sagnac interferometry is obtained. **Here is my formula:

Here is the derivation of my formula, using TWO LOOPS:

https://www.theflatearthsociety.org/forum/index.php?topic=30499.msg2117351#msg2117351Here is the final formula:

**2(V**_{1}L_{1} + V_{2}L_{2})/c^{2}My formula is confirmed at the highest possible scientific level, having been published in the best OPTICS journal in the world, Journal of Optics Letters, and it is used by the US NAVAL RESEARCH OFFICE, Physics Division.

**A second reference** which confirms my global/generalized Sagnac effect formula.

https://apps.dtic.mil/dtic/tr/fulltext/u2/a206219.pdfStudies of phase-conjugate optical devices concepts

US OF NAVAL RESEARCH, Physics Division

Dr. P. Yeh

PhD, Caltech, Nonlinear Optics

Principal Scientist of the Optics Department at Rockwell International Science Center

Professor, UCSB

"Engineer of the Year," at Rockwell Science Center

Leonardo da Vinci Award in 1985

Fellow of the Optical Society of America, the Institute of Electrical and Electronics Engineers

page 152 of the pdf document, section Recent Advances in Photorefractive Nonlinear Optics page 4

**The MPPC acts like a normal mirror and Sagnac interferometry is obtained.** Phase-Conjugate Multimode Fiber Gyro

Published in the Journal of Optics Letters, vol. 12, page 1023, 1987

page 69 of the pdf document, page 1 of the article

A second confirmation of the fact that my formula is correct.

Here is the first confirmation:

Self-pumped phase-conjugate fiber-optic gyro, I. McMichael, P. Yeh, Optics Letters 11(10):686-8 · November 1986

http://www.dtic.mil/dtic/tr/fulltext/u2/a170203.pdf (appendix 5.1)

Exactly the formula obtained by Professor Yeh:

φ = -2(φ

_{2} - φ

_{1}) = 4π(R

_{1}L

_{1} **+** R

_{2}L

_{2})Ω/λc = 4π(V

_{1}L

_{1} + V

_{2}L

_{2})/λc

**Since Δφ = 2πc/λ x Δt, Δt = 2(R**_{1}L_{1} **+** R_{2}L_{2})Ω/c^{2} = 2(V_{1}L_{1} + V_{2}L_{2})/c^{2}CORRECT SAGNAC FORMULA:

**2(V**_{1}L_{1} + V_{2}L_{2})/c^{2}The very same formula obtained for a Sagnac interferometer which features two different lengths and two different velocities.

http://www.dtic.mil/dtic/tr/fulltext/u2/a170203.pdfANNUAL TECHNICAL REPORT PREPARED FOR THE US OF NAVAL RESEARCH.

Page 18 of the pdf document, Section 3.0 Progress:

**Our first objective was to demonstrate that the phase-conjugate fiberoptic gyro (PCFOG) described in Section 2.3 is sensitive to rotation. This phase shift plays an important role in the detection of the Sagnac phase shift due to rotation. **Page 38 of the pdf document, page 6 of Appendix 3.1

**it does demonstrate the measurement of the Sagnac phase shift Eq. (3)**HERE IS EQUATION (3) OF THE PAPER, PAGE 3 OF APPENDIX 3.1:

φ = -2(φ

_{2} - φ

_{1}) = 4π(R

_{1}L

_{1} **+** R

_{2}L

_{2})Ω/λc = 4π(V

_{1}L

_{1} + V

_{2}L

_{2})/λc

**Since Δφ = 2πc/λ x Δt, Δt = 2(R**_{1}L_{1} **+** R_{2}L_{2})Ω/c^{2} = 2(V_{1}L_{1} + V_{2}L_{2})/c^{2}CORRECT SAGNAC FORMULA:

**2(V**_{1}L_{1} + V_{2}L_{2})/c^{2}The Coriolis effect is a physical effect upon the light beams: it is proportional to the area of the interferometer. It is a comparison of two sides.

The Sagnac effect is an electromagnetic effect upon the velocities of the light beams: it is proportional to the radius of rotation. It is a comparison of two loops.

Two different phenomena require two very different formulas.

**My SAGNAC EFFECT formula proven and experimentally fully established at the highest possible level of science.**