If the claims/conclusions of a derivation are shown to be totally wrong, then the derivation itself is a piece of thrash.
It is as simple as this.
There is no need to go into any kind of other details, since the claims/conclusions were clearly stated as follows:
As such, for a given interferometer (with a fixed area of the light path), treating Earth's orbit as a rotation and Earth's daily rotation as a rotation where one revolution is 24 hours, the orbital Sagnac effect will be approximately 1/365 that of Earth's rotation, as the area is the same, the only thing that changes is the angular velocity which for the orbit is roughly 1/365 that of the day.
No. It is easy to calculate that the orbital sagnac is a mere 1/365th that of the rotational.
That is because the 2 interferometers are the same and thus have the same R and the same A and thus it is entirely dependent upon ω
Again, the location of the centre of rotation is irrelevant.
All that matters is the area of the loop and its angular velocity.
The claim/conclusion of the derivation is as follows: the orbital Sagnac = 1/365 of the rotational Sagnac and these have been highlighted in red: there is no going back now.
As such, if I can prove that this claim/conclusion is absolutely false, then the derivation is shown to be faulty, erroneous.
No need for any kind of wasteful analysis: would any of you even bother to analyze the details, when the clearly stated claim/conclusion is available for total and direct destruction? Certainly not, but that is exactly how you deviously ask of others to do.
The local aether model was adopted ONLY AFTER the author, the peer reviewers of the BAPS/IOP/EPL, proved that the orbital Sagnac is not only much larger than the rotational Sagnac, but that also it is missing.
If the claims/conclusions (as listed above) of the derivation had been true (orbital Sagnac = 1/365 rotational Sagnac), then nobody would have bothered to even investigate the subject.
No need to adopt a local aether model in order to explain something which is much smaller in magnitude than the rotational Sagnac.
Again, here is the claim/conclusion of the derivation: the orbital Sagnac is 1/365 of the rotational Sagnac.
A very specific claim, the most important part of the entire derivation.
Let us see how easy it is to put this claim to rest.
Dr. Daniel Gezari is a Post Doctoral Research Fellow at the California Institute of Technology, and Astrophysicist (Emeritus) - NASA/Goddard (2008 - present).
The lunar laser ranging experiment is an astronomical version of the Sagnac experiment.
However, G. Sagnac used the fringe-shift method to measure indirectly light travel time;
while Dr. Daniel Gezari uses clocks to measure directly light travel time in both directions.
Shooting light to the moon has to do with the behavior of light like GPS.
Dr. Daniel Gezari must calculate the Sagnac in order to fully account for the shooting of the laser to the mirror on the moon and back.
Calculations performed at the NASA Goddard Space Flight Center by Dr. Daniel Gezari:
https://arxiv.org/vc/arxiv/papers/0912/0912.3934v1.pdfPlease note the theoretical orbital sagnac shows up in these calculations, but is not picked up/registered/recorded by GPS satellites.
Motion of the Earth-Moon system in orbit around the Sun would average out in a two-way measurement, and only appear as a small (∼3 m/s) second-order residual.
Because of the two-way averaging, the orbital Sagnac effect registered is smaller than usual, however it is not 1/365 of the rotational Sagnac effect, in fact even in the diluted form permitted by the two-way averaging calculation, it represents a significant percentage of the rotational Sagnac effect.
These calculations were done by none other than Dr. Daniel Gezari (CalTech, Goddard Space Flight Center).
For instance, the Earth’s full 30 km/s orbital velocity along the line-of-sight would produce a second-order residual velocity of only ~3 m/s, so we cannot preclude the possibility that some part of the 8.4 m /s difference between co and c measured here is a real second-order residual due to motion of the Earth-Moon system relative to an absolute frame.
3/8.4 = 0.357
1/365 = 0.00274
0.357/0.00274 = 130.3
A total refutation of the claims, and thus of the derivation.
Any sane person would understand that the derivation has been rendered to be useless and worthless, but we are not dealing with such persons here.
Dr. Daniel Gezari, one of the highest rated astrophysicists in the world today, has performed the calculations which prove the claim/conclusion of the derivation to be absolutely wrong.
A second paper also showing that the claim/conclusion of the derivation is pure thrash can be found here:
https://www.theflatearthsociety.org/forum/index.php?topic=70614.msg1916512#msg1916512It was published by an IOP journal.
Let us read the conclusions of the article:
http://qem.ee.nthu.edu.tw/f1b.pdfOn the other hand, the orbital
motion of the earth around the sun has a linear speed of
about 30 km/s which is about 100 times that of earth’s
rotation. Thus the present high-precision GPS would be
entirely impossible if the omitted correction due to orbital
motion is really necessary.
The author states that the orbital Sagnac is larger than the rotational Sagnac and that it is missing.
Again.
Meanwhile, as in GPS, no effects of earth’s orbital motion
are reported in these links, although they would be
easier to observe if they are in existence.
The orbital Sagnac would be easier to observe if and only if it was larger than the rotational Sagnac.
Then, and only then, the author adopts a local aether model in order to explain this extraordinary finding: the fact that not only is the orbital Sagnac larger in magnitude than the rotational Sagnac, but that also it is missing.
These are conclusions of a mainstream paper, accepted for publication by an IOP journal.
They totally refute the claim/conclusion that the orbital Sagnac is 1/365 of the rotational Sagnac.
They render the derivation to be a worthless piece of thrash.
If the conclusion of a derivation is shown to be wrong by such a huge margin, would it make any sense to go into any kind of further details? No, it would not.
The claim/conclusion of the derivation was clearly stated, there is no going back now.
But it was shown to be totally false.
Here is a third paper, this time it was published by the BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, one of the most prestigious journals in the world today.
https://www.theflatearthsociety.org/forum/index.php?topic=70614.msg1916512#msg1916512Let us read the conclusions of the article:
C.C. Su, "A Local-ether model of propagation of electromagnetic wave," in Bull. Am. Phys. Soc., vol. 45, no. 1, p. 637, Mar. 2000 (Minneapolis, Minnesota).
http://www.ee.nthu.edu.tw/ccsu/Both the rotational and the orbital motions of the earth together with the orbital
motion of the target planet contribute to the Sagnac
effect.
Anyway, the interplanetary Sagnac effect is due to
earth’s orbital motion around the sun as well as earth’s
rotation.
Based on the local-ether model, the propagation is entirely
independent of the earth’s orbital motion around
the sun or whatever and the velocity v for such an earthbound
experiment is referred to an ECI frame and hence
is due to earth’s rotation alone. In the original proposal,
the velocity v was supposed to incorporate earth’s orbital
motion around the sun.
Thus, at least, v^2/c^2
=~ 10^-8. Then the amplitude of the phase-difference variation
could be as large as π/3, when the wavelength is
0.6 µm and the path length is 10 m.
However, as the velocity
v is the linear velocity due to earth’s rotation alone,
the round-trip Sagnac effect is as small as v^2/c^2∼ 10^-12 which is merely 10^-4 times that due to the orbital motion.The Sagnac effect is a FIRST ORDER effect in v/c.
Even in the round-trip nature of the Sagnac effect, as it was applied in the Michelson-Morley experiment, thus becoming a second order effect within that context, we can see that the ORBITAL SAGNAC IS 10,000 TIMES GREATER than the rotational Sagnac effect.
Your claims are refuted for a third time, and your derivation is rendered to be worthless.
The author PROVED that the orbital Sagnac is 10,000 times greater than the rotational Sagnac, and the peer reviewers agree totally.
It was published in one of the most respected journals in the world.
Thus the claim/conclusion that the orbital Sagnac is 1/365 of the rotational Sagnac was shown to be false.
As such, the derivation itself is worthless.
You know what you have to do now: please mail your derivation to both the BAPS and to the EPL and see if they will publish it.
Let us not forget that Journal of Electromagnetic Waves and Applications, one of the most famous mainstream scientific journals in the world, also agrees with me.
http://www.ee.nthu.edu.tw/ccsu/qem/f3c.pdfFor the interplanetary propagation, earth’s orbital
motion contributes to the Sagnac effect as well. This local-ether model
has been adopted to account for the Sagnac effect due to earth’s
motions in a wide variety of propagation phenomena, particularly the
global positioning system (GPS), the intercontinental microwave link,
and the interplanetary radar.
The peer reviewers at the Journal of Electromagnetic Waves and Applications agree that the orbital Sagnac is larger than the rotational Sagnac, that it is missing, and that a local-ether model has to be adopted in order to account for this fact.
A total refutation of the claim/conclusion/derivation.
Can you show an error in the math?The error in math is humongous.
While you claimed that the orbital Sagnac is 1/365 of the rotational Sagnac, the very subject of the derivation, you were shown that actually the orbital Sagnac is 10,000 times larger than the rotational Sagnac.
A huge difference, which goes to show the catastrophic nature of the derivation.
The proofs provided by the above respected authors were accepted by some of the most prestigious journals in the world today.
You have to do the same now: please mail your derivation to those same journals and see if they will publish it.
I have mainstream science on my side, while you have nothing at all.
You claimed that the orbital Sagnac is 1/365 of the rotational Sagnac.
Here is how easy it is to put this claim to rest.
In the original proposal,
the velocity v was supposed to incorporate earth’s orbital
motion around the sun.
Thus, at least, v^2/c^2
=~ 10^-8. Then the amplitude of the phase-difference variation
could be as large as π/3, when the wavelength is
0.6 µm and the path length is 10 m.
However, as the velocity
v is the linear velocity due to earth’s rotation alone,
the round-trip Sagnac effect is as small as v^2/c^2∼ 10^-12 which is merely 10^-4 times that due to the orbital motion.10,000 is a much larger figure than 1/365.
That is by how much your derivation is wrong.
Your derivation has been shown to be a total piece of worthless thrash.