meberbs,
I apologize, the way I referenced/incorporated the EMDrive into my attempt to explain my question, muddied the underlying question. Briefly: The question I struggle with, is whether the interaction between two GHz electromagnetic fields, where one is a resonant field with no massive component and the other a field induced in the conductive walls of the frustum, can be explained within our classical understanding and experience of CoM and closed systems. This is completely aside from any question of whether any force could be extracted from the interaction.
The question: Does physics require that CoM involve an outside force or is that only a reflection of classical experience? Or as crudely described below could the interaction be between the resonant EM field inside the frustum and induced EM field in the frustum walls?
The conservation laws I described are general in that you can take a closed device and its total momentum will not change without an external interaction, momentum can move between its different parts, but that is it. If there is an external interaction with something in the form of a force, then the equal and opposite reaction law balances things. Alternatively, depending on the initial definition of your system, it could change momentum by have mass (or energy/photons) leave the system, carrying away momentum. This generally covers any kind of interaction.
Noether's theorem is a fairly strong statement about conservation of momentum existing. GR starts to get into an exception, but even in GR, conservation of momentum holds locally. (locally being defined as interactions limited by the speed of light.) Globally, there are issues with even defining conservation laws, which is why I don't use this argument with the Mach effect. (I have doubts for related reasons, but am not sure if it is even possible to express those doubts mathematically.)
I don’t have any issue with your description of CoM, as it relates to what I attempted to reference as “classical experience” above. To be clear, what I mean by “classical experience” is direct and/or practical experience. Where the interaction involves two EM fields, classically the EM (or in some cases magnetic) field acts as a conduit for the transfer of momentum between two massive components, rather than the source of the momentum transferred. Simple everyday examples being electric motors, generators, alternators and solenoids.., etc..
The resonating EM field within a frustum has no similar massive “core” or counterpart, as in the above examples. Still the field does have both electric and magnetic properties and interacts with the corresponding EM field(s) induced in the conductive walls of the frustum. Two interacting fields, but only one massive component, the frustum.
meberbs, I am really split or torn, uncertain about the implications, of which there could be many possibilities. However my initial point was whether the system as a whole really represents a “classical” closed system, where an external interaction is required? Or could the electromagnetic interaction between the resonating EM field and the corresponding field induced in the frustum walls, even should they result only in a GHz jitter, dominate a transfer of momentum, that has no external massive counterpart? No classical analog.
Classically the frustum should represent a closed system, but the EM radiation that the resonant field is composed of is introduced from outside the frustum, through a wave guide or by an antenna. Either way if the interacting fields generate even a jitter, momentum is transferred to the mass of the frustum through an interaction between the two fields.
This should not represent a classical closed system since the inherent momentum within the resonant EM field is introduce from outside the frustum. Similarly a classical interpretation of CoM of momentum should not be an issue.
I am not yet fully convinced there is “nothing there”, nor that there “is”, but I believe that if there is, it is far more likely to be a fragile electromagnetic interaction between the resonant EM field and the induced electromagnetic properties in the frustum walls... This would switch the CoM issue to one of could the properties of the EM field induced in the frustum walls, be pushing off of the resonating EM field itself?
The problem with that idea if I am understanding what you are saying correctly, is that the fields themselves have energy and momentum. The fields cannot net move to the right while the momentum is to the left. Other than the need to use relativistic equations to describe the momentum in the fields, this is identical to a cavity that contains bouncing balls, and the conclusion is the same, the outside of the cavity may vibrate, but the center of mass (center of energy in relativity) won't go anywhere.
Your response above raised another question. I began with an assumption that the momentum potential of a resonant EM field (with no massive core) was limited to the inherent momentum potential of the radiating EM energy it is composed of... Even while we know from experience that an EM field has the potential to transfer momentum between massive components, far in excess of “that” relatively insignificant inherent momentum. So an additional question — Does an EM field have an inherent momentum potential greater than that of the radiating photons/waves, it is composed of? If not even imagining an ideal total transfer of momentum between the two fields, the results should not be greater than expected from a perfect photon rocket. If an EM field has an inherent momentum potential greater than that of the fundamental EM radiation, the potential might exceed that of a perfect photon rocket.., and it would then seem new physics or some significant re-evaluation of existing physics would be needed. But this could only be a question, explored after confirming some measurable anomalous force, to begin with. While a few of the early DIY experiments left some question on the issue, those early devices have never been re-examined with better test equipment and experimental control... (at least publicly shared).
Since this would also be an almost insignificant EM interaction isolating the affect may require the higher power levels of the earlier magnetron tests.
I believe that sensitivity of tests should best be described in terms of what force/power ratio they can measure down to. Since this ratio is constant and linear in basically every proposal (including what you just described) this makes it a better metric. Tests with magnetrons improved sensitivity by increasing the total power, but usually induced other (thermal for example) problems, which increased the minimum force required to see a meaningful signal. Higher power would be unambiguously better if it is known to work, and the goal is to apply it, but sometimes lower power, but a significantly more sensitive force measurement can be better for showing if the force really exists.
It would seem you could only test for the initial surge as the device is turned on with any in lab test equipment. The device would have to be free to move for the two fields to maintain an interaction resulting in a directional force. A device in orbit, or in a lab on a turntable with an inherent resistance to motion (both from friction and perhaps inertia), less than the very small expected anomalous force.
I am not sure how you are getting to that conclusion, and to the extent such a condition could even exist, the torsion pendulums in most experiments should satisfy it. It is similar to some claims from TT/Shawyer, but it makes no sense because the fields in the device cannot tell if the device is moving or not, physics is independent of reference frame, so sitting still and moving at constant velocity have the same results. The fields can tell if the device is accelerating, but the result is that the fields push (very slightly) against the direction of acceleration because they need to "accelerate" too.
This last bit was basically me rambling into “what ifs” and imagining that if one could somehow manage/control the interaction between the two fields, an anomalous force might be realized.
Should it be that any momentum is transferred through an interaction between the two EM fields, there then is the potential that the resonant field might be manipulated such that the momentum that is transferred, might be transferred asymmetrically. At least for short periods of time. But that is speculation which goes beyond my original intent
My focus on a need for higher power tests and even reverting to testing earlier frustum designs with the improved test beds, of the day, is grounded on two questions, I don’t feel have been resolved.
One is that, should the potential momentum available for transfer be limited to the inherent momentum associated with any EM photons/waves contributing to the internal resonant EM field, there is a possibility that the there would be insufficient total momentum potential available, from low power systems to overcome the inherent inertial resistance of the device’s mass and inherent initial resistance of the test bed. Think of it like this were we dealing with a photon rocket what would be the minimum power/force required to overcome the inherent inertia of the mass of the device itself? Higher power tests provide a greater possible momentum potential to begin with.
The other, if a transfer of momentum were the result of an interaction between the two EM fields described above, the design of the device should be focused on generating, likely a specific asymmetrical interaction.., not just resonance. Build to creat the greatest potential eddy currents and EM fields in the frustum walls possible. Some resonant modes have different potentials for just how they interact with the frustum walls.
But again this last was really rambling beyond the original question...
It has seemed to me that lacking any credible theory of operation, there has been a great deal of design modification, that should only have followed after validating or refuting the results of early designs and claims.
It does not matter how sensitive your test equipment is, if the device you are testing does not or cannot generate sufficient force to overcome the involved inertial mass and inherent baseline resistance of the test equipment.
Higher powered tests have a greater potential of producing a more significant interaction, with little or no change in the total inertial mass of the device.