ratbinoz, you are not helpful at all to your PHYSICS ILLITERATE FRIEND, THE JACKBOT.
Your quotes are not in dispute here, which means you are just trolling along.
THE PHYSICS ILLITERATE, THE JACKBOT, USED A VARIABLE RADIUS TO START WITH.
The jackbot fully deserves the GOLDEN RASPBERRY award for the most disastrous, botched derivation for the Sagnac phase shift in the history of modern science.
By now, everyone here has understood where the jackbot went wrong.
ONE CAN ONLY USE ONE RADIUS FOR THE SAGNAC EFFECT.
NOT TWO.
The jackbot uses two radii to start with.
Now lets try 2 arcs, one at R1 and one at R2, where the sections connecting the 2 arcs are along the radii.
What this means is that going between them is the same for both directions.
In each one you have it going to the inner arc along a radii, and going to the outer arc along a radii, so the path length and time taken will be equal for those sections.The jackbot is a PHYSICS ILLITERATE who used two radii for the Sagnac derivation.
Does the Earth use TWO DIFFERENT RADII TO ORBIT THE SUN in the heliocentrical version?
Of course not.
Does an interferometer placed at the surface of the Earth, in a lab, use TWO DIFFERENT RADII TO ROTATE AROUND THE CENTER OF THE EARTH?
Of course not.
Here is the full madness of the jackbot plainly exhibited for all to see:
For the system we are discussing, the interferometer is on Earth (or quite close to it), and thus R CANNOT be constant. Instead R MUST CHANGE AS IT GOES ALONG THE LOOP!For the system we are discussing, the interferometer is on Earth (or quite close to it), and thus R CANNOT be constant. Instead R MUST CHANGE AS IT GOES ALONG THE LOOP!
In the correct formulas for the Sagnac shift, R IS A CONSTANT.
Yet, the jackbot, our own physics illiterate, HAS R AS A VARIABLE.
But it has done something similar to this, again and again. It is constructing ITS OWN version of reality, its very own physical laws. A sure sign of cognitive dissonance.
This is where the jackbot went totally wrong: IT USED A VARIABLE R FROM THE VERY START; by contrast, the correct Sagnac formula uses A CONSTANT R, a single value of R, and not multiple values of R.
The R values are the distance from the centre of rotation (the sun in this case) to the section of the interferometer. Both values are roughly 150 000 000 km.
Yes, I am using 2 different radii as the loop is composed of 2 different radii elements.
The madbot is using TWO DIFFERENT RADII, which is impossible for a Sagnac interferometer.
The Sagnac derivation HAS TO USE ONE SINGLE RADIUS.
The two physics illiterates, jackbot and rabbiratbot (who seems to be abandoning the ship), are using TWO DIFFERENT RADII.
That is why the jackbot ended with TWO DIFFERENT SPEEDS, one of which is negative.
http://www.mathpages.com/rr/s2-07/2-07.htm (most referenced paper used by the relativists themselves)
If two pulses of light are sent in opposite directions around a stationary circular loop of radius R.ONE RADIUS.
ONLY A PHYSICS ILLITERATE LIKE THE JACKBOT COULD DERIVE SOMETHING LIKE THIS:
Thus dt=2*omega*alpha*R22/c2-2*omega*alpha*R1^2/c2
=2*omega*alpha*(R22-R12)/c2v = ωR
v2 = ωR2
v1 = ωR1
s = Rφ (s = arclength)
dt = 2φωR22/c2 - 2φωR12/c2
dt = 2v2s2/c2 - 2v1s1/c2
BUT THIS IS WRONG!
The Sagnac shift is made up of one term, not two.
You cannot have TWO SPEEDS, only one.
There is no negative term in the Sagnac.
ONLY A PHYSICS ILLITERATE CAN STATE THAT THE SAGNAC PHASE SHIFT HAS MORE THAN ONE TERM.
Each and every reference available has ONLY ONE TERM and ONE RADIUS.
http://www.mathpages.com/rr/s2-07/2-07.htmONE TERM. ONE RADIUS.
Involving the the linear velocity x radius x pi = area x angular velocity.
http://www.physicsinsights.org/sagnac_1.htmlONE TERM. ONE RADIUS.
Featuring the linear velocity.
The Aharonov-Bohm phase shift also features ONE SINGLE TERM.
The rabbibot is a physics illiterate who does not have any knowledge of the correct formula for the Sagnac phase shift.
HERE IS THE CORRECT DERIVATION FOR A ROTATING LINEAR SEGMENT.
IT TAKES A SINGLE COUNTEREXAMPLE TO INVALIDATE A HYPOTHESIS.SAGNAC EFFECT WITHOUT AN AREA OR A LOOPThe biggest breakthrough in the physics of the Sagnac effect has been the use of PHASE-CONJUGATE MIRRORS.
In fact, had this technology been available to G. Sagnac and A. Michelson it would have saved them a lot of time and energy in constructing experiments and deriving formulas.
https://arxiv.org/ftp/physics/papers/0609/0609202.pdfTest of the one-way speed of light and the first-order experiment of
Special Relativity using phase-conjugate interferometers
Professor Ruyong Wang
This experiment shows us two important points. First, it confirms the phase reversal of a PCM and
demonstrates the Sagnac effect in an arc segment AB, not a closed path. Second, it gives us important implications: The result, φ = 4πRΩL/cλ, can be re-written as φ = 4πvL/cλ where v is the speed of the moving arc segment AB (where R is the radius of the circular motion, Ω is the rotational rate).
If we increase the radius of the circular motion as shown in Fig. 6,
the arc segment AB will approach a linear segment AB, the circular motion will approach the linear motion, the phase-conjugate Sagnac experiment will approach the phase-conjugate first-order experiment as shown in Fig. 4,
and the phase shift is always φ = 4πvL/cλ.
The Sagnac formula for a straight line path which is rotating becomes:
φ = 4πvL/c2where v = RΩ
That is, the formula for a rotating linear segment is:
φ = 4πvL/c2where v = RΩ
Using the values for v for both the orbital Sagnac and the rotational Sagnac we can see immediately that vo/vr = 60.
A total refutation of the "analysis" signed the jackbot.
The phase conjugate mirror is A NONLINEAR OPTICAL DEVICE.
It has become the biggest technical breakthrough ever for the Sagnac experiment.
Unlike the traditional interference experiment with which the effective light paths constitute a closed loop, one can have a one-arm phase-conjugate interferometer.
NO AREA, NO CLOSED LOOP.
The jackbot does not know how to derive the Sagnac phase shift.
The jackbot is a PHYSICS ILLITERATE.
Its derivation leads to TWO TERMS FOR THE SAGNAC, ONE OF WHICH IS NEGATIVE.
There isn't a single reference to support this drivel.
The Sagnac for the rotating linear segment shows how wrong the jackbot's derivation is.
The physics illiterate, the jackbot, uses TWO DIFFERENT RADII, a physical impossibility for the Sagnac.
That is where it went wrong.