Well, regardless of whether the question s
Is or is not specific enough, it would seem to be the case that the EW frustum did show preferential heating of the large end plate. And, that also happens to be where Shawyer placed his YCBO and Sapphire in his most recent patent application (the rest of the cavity is silver plated if I recall). And didn't Todd's theory have something to say about a preference for which direction the waste heat was emmitted?
Have any of the other replicators metioned that particular asymmetry before?
Yes, but in my model the "reflection coefficient" is irrelevant because, when the MW cavity is charged to a steady state maximum energy, the EM field will exert pressure on all sides. Unless, the small end is below cut-off, in which case the momentum in that direction will be imparted to the side walls. Either way, the power losses to the copper are directly proportional to the force exerted by the field. If the whole frustum is made of copper, then the forces should balance and cancel out.
However, my "theory" is that; IF there is a higher power dissipation at one end vs the other end, then there will be a NET flow of energy & momentum in that direction and the frustum should move the other way. On the other hand, without a dielectric or dissimilar metals, there is no reason (other than geometry) why the power dissipation would be different at one end vs the other. I've suggested using a different metal for the big end plate. Something with higher losses, like nickel or steel. Or, something with lower losses like silver or superconductor, depending on which way you want it to thrust.
Regarding the force, my "guess" is that it will be less than a photon rocket operating at the available power inside the frustum, i.e., < Q*Pin/c, and will not thrust in steady state. It must be pulsed, which lowers the average thrust.
Well, regardless of whether the question s
Is or is not specific enough, it would seem to be the case that the EW frustum did show preferential heating of the large end plate. And, that also happens to be where Shawyer placed his YCBO and Sapphire in his most recent patent application (the rest of the cavity is silver plated if I recall). And didn't Todd's theory have something to say about a preference for which direction the waste heat was emmitted?
Have any of the other replicators metioned that particular asymmetry before?
Yes, but in my model the "reflection coefficient" is irrelevant because, when the MW cavity is charged to a steady state maximum energy, the EM field will exert pressure on all sides. Unless, the small end is below cut-off, in which case the momentum in that direction will be imparted to the side walls. Either way, the power losses to the copper are directly proportional to the force exerted by the field. If the whole frustum is made of copper, then the forces should balance and cancel out.
However, my "theory" is that; IF there is a higher power dissipation at one end vs the other end, then there will be a NET flow of energy & momentum in that direction and the frustum should move the other way. On the other hand, without a dielectric or dissimilar metals, there is no reason (other than geometry) why the power dissipation would be different at one end vs the other. I've suggested using a different metal for the big end plate. Something with higher losses, like nickel or steel. Or, something with lower losses like silver or superconductor, depending on which way you want it to thrust.
Regarding the force, my "guess" is that it will be less than a photon rocket operating at the available power inside the frustum, i.e., < Q*Pin/c, and will not thrust in steady state. It must be pulsed, which lowers the average thrust.
As I see it, the reflection coefficient being different on the two ends of a cavity (not addressing the sidewalls, consider a cylinder) means that the internal radiation force is different on the two ends. Different, because on a reflecting surface, the radiation pressure is:
Pressure = (1 + gamma) * power/c and gamma does not have the same value at opposite ends.
That means that an internal, unbalanced force does exist which is a totally different situation than most on this forum admit to. Momentum must be conserved so the cavity must accelerate as a result. The nature of this unbalanced force is not similar to the reaction force accelerating a photon rocket although it's magnitude may or may not be.
Note that in this situation, averaging fields in the cavity will not produce the correct answer because the average removes the difference that we need to isolate. Averaging will give zero for the difference as has been calculated time and again.

Just a difference in reflection coefficients between the two ends of the cavity cannot result in acceleration of the center of mass
Pressure = (1 + gamma) * power/c and gamma does not have the same value at opposite ends.>> does not contain all the necessary terms in the electromagnetic equations of motion to satisfy conservation of electromagnetic momentum.
(...)
Just a difference in reflection coefficients between the two ends of the cavity cannot result in acceleration of the center of mass (solely by these means), just like you cannot accelerate a spacecraft by having one wall made of an inelastic material that will result in inelastic impact and having the opposite wall at the other end made from an elastic material and bouncing objects between the walls. Draw a control volume around the spacecraft. If all the energy and momentum is contained within the control volume, no acceleration of the center of mass will result. The only way you can accelerate the center of mass is by energy-momentum exiting the control volume in a preferential (unbalanced) direction or for energy-momentum to enter the control volume in a preferential (unbalanced) direction.
If there is any ejection of energy-momentum out of the control volume in a preferential direction the force on the center of mass is only due to that energy-momentum ejection and one would have to justify (in the case of the EM Drive claims) why it would exceed the one of a photon rocket.
I write "energy-momentum" to be as general as possible, as energy and momentum are both contained in the stress-energy-momentum tensor Tij in general relativity.
PS: The equation in <<Different, because on a reflecting surface, the radiation pressure is:
Pressure = (1 + gamma) * power/c and gamma does not have the same value at opposite ends.>> does not contain all the necessary terms in the electromagnetic equations of motion to satisfy conservation of electromagnetic momentum.
See: https://forum.nasaspaceflight.com/index.php?topic=39214.msg1546438#msg1546438
Abstract
The present work provides a detailed analysis of already published reports on the observation of an anomalous force in a vacuum associated with vacuum sparks in asymmetric capacitors charged with “constant” high voltages. Known experimental details of these experiments are put forward and propulsion performance is compared with the only known propulsion system known to exist in a vacuum associated with sparks: the vacuum arc thruster (VAT). VAT's are known for decades and work on principles of momentum conservation. They vaporize particles from the electrodes themselves through a high spark current in one direction in order to develop a thrust in the opposite direction. However, the known performance trend for these thrusters does not account for the vacuum spark force values published by NASA. Furthermore, they have not observed the electrode erosion usually associated with VAT operation, even after extended testing. Therefore it is possible that a new propulsion mechanism might be at work, but that should be verified and confirmed experimentally in the future in order to resolve the question.
...Aside - The EM drive seems to produce a force ...
...Please lets look at other answers for how this might work, because it does seem to work. ...
Anymore, I find myself thinking of the early days of these threads.
I joined immediately before our esteemed Doctor Rodal, and still remember his first post, where he stated the EM Drive would show some degree of movement in an atmosphere, a trace of movement if suspended in a vacuum chamber, but only rotational movement in space. Thus far, I have seen little convincing evidence, theoretical or otherwise, that contradicts that assessment.
I also remember two observations made by a majority of the electrical and microwave engineers who deigned to comment in these threads:
1 - The EM Drive, whatever else it does, should generate large amounts of evanescent waves; and
2 - The EM Drive is 'capacitor-like.' Most of them were careful to avoid calling it a capacitor, only that it (sort-of) acted like one. Which brings me to -
and
http://www.sciencedirect.com/science/article/pii/S1875389211005797QuoteAbstract
The present work provides a detailed analysis of already published reports on the observation of an anomalous force in a vacuum associated with vacuum sparks in asymmetric capacitors charged with “constant” high voltages. Known experimental details of these experiments are put forward and propulsion performance is compared with the only known propulsion system known to exist in a vacuum associated with sparks: the vacuum arc thruster (VAT). VAT's are known for decades and work on principles of momentum conservation. They vaporize particles from the electrodes themselves through a high spark current in one direction in order to develop a thrust in the opposite direction. However, the known performance trend for these thrusters does not account for the vacuum spark force values published by NASA. Furthermore, they have not observed the electrode erosion usually associated with VAT operation, even after extended testing. Therefore it is possible that a new propulsion mechanism might be at work, but that should be verified and confirmed experimentally in the future in order to resolve the question.
Except, I can't fathom how the EM Drive could be doing this.
Sometimes, I think it's just trickery with electromagnetic force.
...
Regarding the force, my "guess" is that it will be less than a photon rocket operating at the available power inside the frustum, i.e., < Q*Pin/c, and will not thrust in steady state. It must be pulsed, which lowers the average thrust.
Trying for clarity here.
Are you saying that your theory *IN GENERAL* predicts less movement from a 'well functioning' EM Drive than a 'perfect' photon rocket?
Or does the 'less movement than a photon rocket' apply ONLY to a single specific aspect of the EM Drive? Additional movement coming from 'elsewhere?'
Anymore, I find myself thinking of the early days of these threads.
I joined immediately before our esteemed Doctor Rodal, and still remember his first post, where he stated the EM Drive would show some degree of movement in an atmosphere, a trace of movement if suspended in a vacuum chamber, but only rotational movement in space. Thus far, I have seen little convincing evidence, theoretical or otherwise, that contradicts that assessment.
I also remember two observations made by a majority of the electrical and microwave engineers who deigned to comment in these threads:
1 - The EM Drive, whatever else it does, should generate large amounts of evanescent waves; and
2 - The EM Drive is 'capacitor-like.' Most of them were careful to avoid calling it a capacitor, only that it (sort-of) acted like one. Which brings me to -
and
http://www.sciencedirect.com/science/article/pii/S1875389211005797QuoteAbstract
The present work provides a detailed analysis of already published reports on the observation of an anomalous force in a vacuum associated with vacuum sparks in asymmetric capacitors charged with “constant” high voltages. Known experimental details of these experiments are put forward and propulsion performance is compared with the only known propulsion system known to exist in a vacuum associated with sparks: the vacuum arc thruster (VAT). VAT's are known for decades and work on principles of momentum conservation. They vaporize particles from the electrodes themselves through a high spark current in one direction in order to develop a thrust in the opposite direction. However, the known performance trend for these thrusters does not account for the vacuum spark force values published by NASA. Furthermore, they have not observed the electrode erosion usually associated with VAT operation, even after extended testing. Therefore it is possible that a new propulsion mechanism might be at work, but that should be verified and confirmed experimentally in the future in order to resolve the question.
Except, I can't fathom how the EM Drive could be doing this.
Sometimes, I think it's just trickery with electromagnetic force.
Have they considered the attraction of the two wires because they were charged with different voltages?
Have they considered the Piezo effect of the material used in the capacitor?
...
Regarding the force, my "guess" is that it will be less than a photon rocket operating at the available power inside the frustum, i.e., < Q*Pin/c, and will not thrust in steady state. It must be pulsed, which lowers the average thrust.
Trying for clarity here.
Are you saying that your theory *IN GENERAL* predicts less movement from a 'well functioning' EM Drive than a 'perfect' photon rocket?
Or does the 'less movement than a photon rocket' apply ONLY to a single specific aspect of the EM Drive? Additional movement coming from 'elsewhere?'
Yes, but not a photon rocket with thrust Pin/c, the fully charged frustum is capable of thrusts up to Q*Pin/c. The latter is much larger (momentary) thrust than the former.
With the EM Drive, I do not see a Mach effect (yet). It's plausible, but it has not been demonstrated in a way that really hits home for me.
Monomorphic:
Todd (who also was at the workshop) and I really missed you !
does your setup allow you to also orient the EM Drive's longitudinal axis along the length of the arm of the pendulum? In other words: can you orient the EM Drive perpendicular to its present direction?
Can you run the experiments with Helmholtz coils designed to isolate the experiment from the Earth's magnetic field?
Helmholtz coils (hoops) on three perpendicular axes used to cancel the Earth's magnetic field inside the vacuum tank in a 1957 electron beam experiment
Just a difference in reflection coefficients between the two ends of the cavity cannot result in acceleration of the center of mass (solely by these means), just like you cannot accelerate a spacecraft by having one wall made of an inelastic material that will result in inelastic impact and having the opposite wall at the other end made from an elastic material and bouncing objects between the walls. Draw a control volume around the spacecraft. If all the energy and momentum is contained within the control volume, no acceleration of the center of mass will result. The only way you can accelerate the center of mass is by energy-momentum exiting the control volume in a preferential (unbalanced) direction or for energy-momentum to enter the control volume in a preferential (unbalanced) direction.
If there is any ejection of energy-momentum out of the control volume in a preferential direction the force on the center of mass is only due to that energy-momentum ejection and one would have to justify (in the case of the EM Drive claims) why it would exceed the one of a photon rocket.
I write "energy-momentum" to be as general as possible, as energy and momentum are both contained in the stress-energy-momentum tensor Tij in general relativity.
PS: The equation in <<Different, because on a reflecting surface, the radiation pressure is:
Pressure = (1 + gamma) * power/c and gamma does not have the same value at opposite ends.>> does not contain all the necessary terms in the electromagnetic equations of motion to satisfy conservation of electromagnetic momentum.
See: https://forum.nasaspaceflight.com/index.php?topic=39214.msg1546438#msg1546438
If we assume that the medium outside of the region where the volume is removed is incompressible, the change in volume is given by that of a thin shell with thickness u(r) and area A(r). The sign of u(r) determines whether the change in volume was positive or negative. We further assume that the change in volume is proportional to the removed entropy SM(r).
does your setup allow you to also orient the EM Drive's longitudinal axis along the length of the arm of the pendulum? In other words: can you orient the EM Drive perpendicular to its present direction?
Can you run the experiments with Helmholtz coils designed to isolate the experiment from the Earth's magnetic field?
...Jose, while you're throwing very interesting ideas on the table, I think that, at the moment, it would be a better idea for Jamie to focus on his current setup and try running some batches of tests.
...
throwing very interesting ideas on the table
.
does your setup allow you to also orient the EM Drive's longitudinal axis along the length of the arm of the pendulum? In other words: can you orient the EM Drive perpendicular to its present direction?
Can you run the experiments with Helmholtz coils designed to isolate the experiment from the Earth's magnetic field?
Jose, while you're throwing very interesting ideas on the table, I think that, at the moment, it would be a better idea for Jamie to focus on his current setup and try running some batches of tests.
What I mean is that, Jamie was able to fine tune his torsional arm and reduce the noise; now, asking him to dismount all the rig to change the cavity orientation or add coils may (and probably will) introduce back noise and the need for further tuning and calibration, so, why throwing off the window the current (quite) good setup and spend more time redoing it all ?
I think that the first step should be some batches of powered runs and data collection using the current setup, next, once he'll have the data, he may decide how to move next; but starting back the whole calibration and problem solving process today, just to follow some (interesting, by the way) ideas, isn't in my humble opinion, so convenient at the momentThatOtherGuy, I am not randomlyQuotethrowing very interesting ideas on the table.
On the contrary, I am informing Monomorphic (and anybody willing to listen) of the latest experimental data, from a university conducting scientific work, at a workshop, where the EM Drive test results were simply described [to somebody in the audience that wanted this described in simple words] as "a magnetic needle" experimental artifact.
Sorry to be the messenger of bad news.
It is important to stay informed...
does your setup allow you to also orient the EM Drive's longitudinal axis along the length of the arm of the pendulum? In other words: can you orient the EM Drive perpendicular to its present direction?
Can you run the experiments with Helmholtz coils designed to isolate the experiment from the Earth's magnetic field?
Jose, while you're throwing very interesting ideas on the table, I think that, at the moment, it would be a better idea for Jamie to focus on his current setup and try running some batches of tests.
What I mean is that, Jamie was able to fine tune his torsional arm and reduce the noise; now, asking him to dismount all the rig to change the cavity orientation or add coils may (and probably will) introduce back noise and the need for further tuning and calibration, so, why throwing off the window the current (quite) good setup and spend more time redoing it all ?
I think that the first step should be some batches of powered runs and data collection using the current setup, next, once he'll have the data, he may decide how to move next; but starting back the whole calibration and problem solving process today, just to follow some (interesting, by the way) ideas, isn't in my humble opinion, so convenient at the momentThatOtherGuy, I am not randomlyQuotethrowing very interesting ideas on the table.
On the contrary, I am informing Monomorphic (and anybody willing to listen) of the latest experimental data, from a university conducting scientific work, at a workshop, where the EM Drive test results were simply described [to somebody in the audience that wanted this described in simple words] as "a magnetic needle" experimental artifact.
Sorry to be the messenger of bad news.
It is important to stay informed...
Jamie should do some runs now before any modifications. If the result is null, there's no need for changing the rig to prove it's not "a magnetic needle" experimental artifact.
...Jose, while you're throwing very interesting ideas on the table, I think that, at the moment, it would be a better idea for Jamie to focus on his current setup and try running some batches of tests.
...ThatOtherGuy, I am not randomlyQuotethrowing very interesting ideas on the table, that just appeared in my mind.
On the contrary, I am informing Monomorphic (and anybody willing to listen) of the latest reported experimental data, from a university conducting scientific work, at a workshop, where the latest EM Drive test results were simply described [to somebody in the audience that wanted this described in simple words] as possibly "a magnetic needle". For Monomorphic to stay current with the latest information, he would need to address this information (at whatever time he deems makes the most sense) and test the EM Drive at 90 degrees to its present orientation, to measure any force parallel to the end plates.
Sorry to be the messenger of bad news.
It is important to stay informed...
It would have been preferable if Monomorphic would have been at the workshop to hear this information first hand and to ask further questions, but Todd "WarpTech" was also there, so you could ask WarpTech (if you want to have another viewpoint) on what he heard, and what is his understanding.
[conceptual image of an early version of Monomorphic's drive shown with the direction of the measured force at the university, for visualization purposes]
Jamie should do some runs now before any modifications. If the result is null, there's no need for changing the rig to prove it's not "a magnetic needle" experimental artifact.