If the dielectric is there to increase the reflectivity, then it's a 1/4 wave.
That's not why the dielectric is in there. All of the cavity resonators are 1/2 wave EM resonators. You're confusing EM resonance and acoustic resonance. For an M-E device to operate, there needs to be a 1/4 wave acoustic resonance; meaning the ceramic is displacing in one direction only, not in two opposite directions, or at the very least the displacement cannot be equal and opposite as this would generate zero thrust.
This is semantic gobbledeegook. The explanation you have offered contains no math.
No. This is the kind of precision with which real scientists ought to communicate. If you want the math John, go read the papers. Didn't we go thorough all this 5 years ago? Have you still not read the papers? It is not my place to educate you. If you don't understand how these devices are supposed to work, you can read up on them. Surely, criticizing work you don't understand is a fool's errand.
It would be most helpful if there were math associated with the proposal of how the device works, specifically a mathematical and physical definition of "bulk acceleration".
The math is in the book, and in the papers that have been published on this subject every year for about 2 decades now. You can read them at your leisure. Let us however not pretend you would understand the math as you have no training in GR. Unless things have changed these last few years John? Did you go back to school?
What is the mass of the illustrated PZT structure on the wiki page? Is it the same as the proposed lattice structure?
Yes. When people speak of the "lattice" they are speaking of the entire crystal in contrast to the mobile ion. So for example, if you are talking about a single crystal form, the mass of the dielectric is the mass of the lattice. If however you are speaking of a sintered form, the mass of the lattice could be appreciably less given any sintering agent is introduced, such as what is commonly included to attenuate electromechanical responses. Not all sintered ceramics require a sintering agent, however. Ceramics sintered with Spark Plasma sintering or FAST system, do not require binders, etc, and so the "lattice" mass would be the same as the ceramic mass. In this instance however, things like PZT that are tape cast, or other forms of PZT like what Woodward was most recently using, include binders the percentage of which are not specified by the manufacturer.
What is the expected rate of acceleration? What is the measured acceleration?
This is different with every experiment. IMHO, the proper way to know the answer to this, and it is a good question; is to use a high speed laser doppler vibrometer. Other methods are far less precise. Future experiments will use this method if I have anything to say about it. It is fair to say however, that in general the accelerations generated in perovskites operating in the ultrasonic region, where the design provides a typical mechanical Q of about 700, are in the millions of gees. The trouble is that the device also needs to oscillate at a second frequency which is not on the natural resonace of the device, and that oscillation will be tiny if not managed extremely well. In order to know if it has been managed well, one needs a vibrometer. Woodward tracks his accelerations with accelerometers but he cannot assign raw magnitudes to them in this way.
How much electrical power goes into the lattice?
In the case of Woodward's current thruster experiments, about 100 watts, and less than one watt is dissipated. But you cannot infer what you suppose from this answer as there are a handful of complex qualifications I would offer were we having a technical discussion of something you understood sufficiently. Fact is you have not asked the right question and you cannot understand the right answer either.
The rest of the universe has been suggested, but this is not backed by any theory, and not included in your explanation.
You're mixing up two different issues. While it is true that the gravinertial flux in and out of the thruster is exchanged with the rest of the universe (and this has always been M-E theory--read the book or any of the papers published the last 20 years), in order for any 1/4 wave resonator or oscillator to function, it needs to push off a reaction mass or acoustic mirror. Whether one creates conditions for a Mach Effect event or not, any 1/4 wave acoustic resonator requires this. Now if one has such a resonator and then wants to generate M-E, one gets the changing mass from gravinertial flux exchange with the rest of the universe. Different issue. Again, you are mixing these issues because you're trying to analyze the operation of a device which you do not understand. Read the book.
Rodal has repeatedly asserted that the "scientific controls" of the inverted pendulum are not satisfactorily removing stray forces, but he has received no acknowledgement that this is the case. Instead, people are arguing historical narratives, and offering wordy explanations of arbitrary terms.
Paul addressed Dr. Rodal's concerns quite well. They're answered. Dr. Woodward routinely addresses concerns like these in all his work, which is one reason he has more than 100 scientists and engineers on his weekly mailing list. I doubt whether anyone is going to find fault with either Eagle's work or Woodward's in this regard, as they both constantly subject themselves to careful input on their experimental setups on a regular basis.
The discussion about lattices and attenuators is only an exercise in liguistic meaning.
Don't make the mistake thinking that just because you don't understand what I said, that Dr. Rodal does not either. I explained in great detail for real reasons and none of that explanation was mere exercise. You simply don't understand it, which is fine. Read the book.
Why are you arguing so strenuously on a topic that you are not "familiar enough" with?
I'm not arguing. I'm explaining. You're arguing. Eagle has been as transparent as is normally the case when offering a conference paper. I'm just answering Dr. Rodal that I cannot tell whether the dielectric is moving in 1/4 wave acoustic fashion from the paper. It is quite possible. Since both the resonator geometries are asymmetric, 1/4 wave motion of whatever is in there is quite plausible.