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Cavity ring down time in seconds = (5 * Qu) / ( 2 * Pi * Freq).
So yes the cavity ring down time is fixed per Qu and freq. However the number of end plate to end plate transits and the number of end plate reflection during the ring down time is not, as you incorrectly stated, fixed by Qu nor freq.
It is much more complex than that and involves the end plate separation distance, the averaged group velocity (which increases as DF increases) and the excited mode.
For a fixed mode, the size of the cavity is inversely proportional to frequency. The factor by which the travel time between the plates is increased (due to not travelling in a straight line between the plates) is fixed by the mode.
Number of reflections = decay time/ travel time = decay time / (cavity length*c*average velocity factor)
Decay time is inversely proportional to frequency. Cavity length is inversely proportional to frequency. The velocity factor is fixed by the mode. Overall, the number of reflections is independent of frequency.
That you do not understand this is not your fault, being an armchair critic, that has never built nor tested an EmDrive but relies on old school traditional physics.
Ability to do basic algebra is not affected by whether I have wasted my time building some arbitrary shaped RF resonator.
Current evidence is that you have not yet built and tested an emDrive yourself anyway, and you continue to claim the contradictory points of "emDrive works" and "classical physics works."
Your input is interesting but misguided as there is information you so far reject as it does not fit into your world view. Hopefully one day you will understand and accept the EmDrive is just another machine, capable of converting Rf input Joules of energy into accelerated mass KE Joules.
It can't be, because a normal machine has something to push off of. Maybe one day you will be willing to actually learn something.
The increased photon wavelength and thus less momentum is how CofM occurs.
Since the total momentum that can be stored in photons is proportional to their energy, the most momentum you could ever get out of such a claim is that of a photon rocket, and then only if you ignore that when the photons were emitted they had given the cavity exactly opposite momentum.
It is trivial that the emDrive breaks conservation of momentum. Start with an emDrive that is off and has no photons in it. For simplicity lets say that it starts with 0 momentum. Now turn it on wait a while and turn it off, specifying that while it is on, nothing leaves the device, and nothing external pushes on the device. Now turn it off so that there is no more photons in the cavity. If the emDrive works at all, that means the drive has non-zero momentum once it is off, despite starting with 0 momentum, and interacting with nothing else. This momentum has come out of nowhere, and is the definition of breaking conservation of momentum.
Same for lower photon energy, ie longer wavelength balancing accelerated mass gained KE.
Again, the equations simply do not work out as has been demonstrated for you countless times.
BTW when acceleration mass there is only one correct value for the work done.
Utterly false again. By definition work is dependent on distance travelled, which is dependent on reference frame.
I have showed you how that can be achieved, yet you insist in the frame variant, ie some distant observer determines the work work by a force over time to accelerate a mass.
And your math was demonstrated to be completely inconsistent.
Sorry but that is just a silly position to take.
Claiming that a device whose sole purpose is to break conservation of momentum does not do so is what is silly.
That you refuse to accept there can only be ONE real value of work done to accelerate a mass, shows even more your armchair locked in stone position and unwillingness to think outside what you believe is correct.
No, it shows that I actually have bothered to study the definition of basic physics concepts.
Your continued refusal to even acknowledge the definition of momentum conservation or work shows that you have no desire to learn anything.
Also, since all of this has been told to you before and you have no response except to repeat your same false and self-contradictory claims, you are breaking the rules set forth in the first post of this thread.
You are wrong. But not my job to alter your opinion.
The definitions of energy and momentum are not an opinion, and you do not get to make up their definitions.