Dr. Rodal,
I'm not quite sure I'm following this correctly, but, are you basically saying that you are producing a region of reduced mass at one end of the device while increasing the mass at the other end of the device, or are we talking about what could be a region of expanded space behind the device and a compressed area in front?
If this is a negative or educed mass situation, should there not be a pressure change in the immediate area of the actual negative mass? If so, this should be measurable in the pressure of the air column directly beneath the area of negative mass, should it not?None of that is discussed. The relativistic equations for conservation of momentum are posed, treating the EM Drive as a lumped mass system, and then seeing what a change in speed implies for the change in mass in order to satisfy conservation of momentum. For conservation of momentum, it doesn't matter how the negative mass was produced, it is assumed that it can be produced somehow, and the consequences are explored. It is shown that the laws of physics are not violated, within the range of variables explored in the note.
As to how one can have negative mass:
1) there has not been experimental confirmation of negative mass occurring naturally in the Universe and no experiments exist that have conclusively shown that negative mass can be produced artificially, to my knowledge.
2) Negative mass is a consistent theoretical concept that has been discussed by many physicists, most prominently starting with Bondi. Negative mass is allowed by the laws of physics.
3) As pointed out in my note, Minotti states that self-acceleration of the EM Drive if due to General Relativity theory with the scalar coupling field, implies negative mass. Lobo has discussed a number of other reaction-less propulsion that imply negative mass, and McCulloch's theory implies variable mass. Prof. Woodward's Mach Effect theory also discusses how negative mass can be produced. Ditto for Dr. White's theory.
So, I don't discuss how negative mass can be produced, but Minotti's paper gives a consistent theory of how a General Relativity theory with the scalar coupling field can indeed result in effective negative mass for the EM Drive.
Does it have to be negative mass? Could it be asymmetric mass instead (as determined by the frustum shape)? That would produce a falling effect as we feed energy into the system that would look like thrust to an outside observer. i.e. if you did this experiment with a tube, you'd get a spherical or tubular mass effect inside the cavity. With a frustum, you get a cone or teardrop shape.
Dr. Rodal,
I'm not quite sure I'm following this correctly, but, are you basically saying that you are producing a region of reduced mass at one end of the device while increasing the mass at the other end of the device, or are we talking about what could be a region of expanded space behind the device and a compressed area in front?
If this is a negative or educed mass situation, should there not be a pressure change in the immediate area of the actual negative mass? If so, this should be measurable in the pressure of the air column directly beneath the area of negative mass, should it not?None of that is discussed. The relativistic equations for conservation of momentum are posed, treating the EM Drive as a lumped mass system, and then seeing what a change in speed implies for the change in mass in order to satisfy conservation of momentum. For conservation of momentum, it doesn't matter how the negative mass was produced, it is assumed that it can be produced somehow, and the consequences are explored. It is shown that the laws of physics are not violated, within the range of variables explored in the note.
As to how one can have negative mass:
1) there has not been experimental confirmation of negative mass occurring naturally in the Universe and no experiments exist that have conclusively shown that negative mass can be produced artificially, to my knowledge.
2) Negative mass is a consistent theoretical concept that has been discussed by many physicists, most prominently starting with Bondi. Negative mass is allowed by the laws of physics.
3) As pointed out in my note, Minotti states that self-acceleration of the EM Drive if due to General Relativity theory with the scalar coupling field, implies negative mass. Lobo has discussed a number of other reaction-less propulsion that imply negative mass, and McCulloch's theory implies variable mass. Prof. Woodward's Mach Effect theory also discusses how negative mass can be produced. Ditto for Dr. White's theory.
So, I don't discuss how negative mass can be produced, but Minotti's paper gives a consistent theory of how a General Relativity theory with the scalar coupling field can indeed result in effective negative mass for the EM Drive.
Does it have to be negative mass? Could it be asymmetric mass instead (as determined by the frustum shape)? That would produce a falling effect as we feed energy into the system that would look like thrust to an outside observer. i.e. if you did this experiment with a tube, you'd get a spherical or tubular mass effect inside the cavity. With a frustum, you get a cone or teardrop shape.If you re-distribute all the furniture inside the space station, to one corner of the space station, you will not produce self-acceleration of the space station.
You can re-distribute the mass inside the space station, or even throw it towards one corner so that it bounces off the walls and that still will not produce self-acceleration.
...If I'm an observer inside of the space station with all the junk piled up into one side of the ISS, I'll feel the slight attraction of that mass. If I'm in orbit around another mass the more massive part of the station with the junk pilled into it will want to point in the direction of the mass. Correct?

.
Variable mass, implying the need for negative mass to self-accelerate, addresses both conservation of momentum and it also addresses conservation of energy.
Energy is conserved, and such a propulsion device is not a free-energy machine, because the greater the speed, the lower the mass. More on that later...
(The practical problem of course is that up to now, nobody has found experimental evidence of negative mass)
...If I'm an observer inside of the space station with all the junk piled up into one side of the ISS, I'll feel the slight attraction of that mass. If I'm in orbit around another mass the more massive part of the station with the junk pilled into it will want to point in the direction of the mass. Correct?An astronaut inside the space station cannot change the center of mass of the space station by re-arranging the furniture from one corner to another.
Only an external force or field, can change the center of mass of the space station, otherwise one has to eject mass from the space station, effectively decreasing the mass of the spacecraft, as a rocket ejects propellant to move in space.
It's the same with rockets. The center of mass of the system (rocket+propellant) doesn't change, when the rocket speeds in +x and the propellant in -x . The center of mass never moves. Pretty basic, but interesting, when thinking about how a space probe can reach Pluto, by appropriately splitting its mass into two parts that fly in opposite directions. We should appreciate that more.
...If I'm an observer inside of the space station with all the junk piled up into one side of the ISS, I'll feel the slight attraction of that mass. If I'm in orbit around another mass the more massive part of the station with the junk pilled into it will want to point in the direction of the mass. Correct?An astronaut inside the space station cannot change the center of mass of the space station by re-arranging the furniture from one corner to another.
Only an external force or field, can change the center of mass of the space station, otherwise one has to eject mass from the space station, effectively decreasing the mass of the spacecraft, as a rocket ejects propellant to move in space.
That's not what I'm saying. Your correct the mass will remain the same. ...It's mass warps spacetime. ...
Shell

CONSERVATION OF RELATIVISTIC MOMENTUM FOR REACTION-LESS PROPULSION THROUGH VARIABLE INERTIAL MASS
Minotti states that the weak energy condition (the condition that demands that the mass should be positive) is violated for the EM Drive in Minotti's theory.
Lobo and Visser's paper also states that the condition requiring positive mass is also violated in other models of propellant-less (reaction-less) forms of proposed space-propulsion.
McCulloch, also proposes that the EM Drive self-accelerates because radio frequency photons at the larger end have higher inertial mass, and therefore to conserve momentum in its reference frame, the cavity must move towards the narrow end.
This motivated me to analyze conservation of momentum for the EM Drive (or any such resonant cavity proposed for reaction-less propulsion) analyzed as a lumped-mass that is able to change its inertial mass. Thus, conservation of momentum of the EM Drive under these theories, would be satisfied, when duly taking into consideration the change in mass.
In this post in another thread: http://forum.nasaspaceflight.com/index.php?topic=39214.msg1486645#msg1486645, I analyze conservation of momentum for the case of negative mass, and for the case of variable increasing and decreasing mass.
I define momentum, using the relativistic definition of momentum.
The analysis shows that such a mode of space propulsion (reaction-less propulsion by variable mass) is quite limited on the speeds and changes in speed that it would be able to achieve.
No warping of spacetime is considered in the analysis, only a reactionless variable mass is considered.
Dr. Rodal,
I'm not quite sure I'm following this correctly, but, are you basically saying that you are producing a region of reduced mass at one end of the device while increasing the mass at the other end of the device, or are we talking about what could be a region of expanded space behind the device and a compressed area in front?
If this is a negative or educed mass situation, should there not be a pressure change in the immediate area of the actual negative mass? If so, this should be measurable in the pressure of the air column directly beneath the area of negative mass, should it not?None of that is discussed. The relativistic equations for conservation of momentum are posed, treating the EM Drive as a lumped mass system, and then seeing what a change in speed implies for the change in mass in order to satisfy conservation of momentum. For conservation of momentum, it doesn't matter how the negative mass was produced, it is assumed that it can be produced somehow, and the consequences are explored. It is shown that the laws of physics are not violated, within the range of variables explored in the note.
As to how one can have negative mass:
1) there has not been experimental confirmation of negative mass occurring naturally in the Universe and no experiments exist that have conclusively shown that negative mass can be produced artificially, to my knowledge.
2) Negative mass is a consistent theoretical concept that has been discussed by many physicists, most prominently starting with Bondi. Negative mass is allowed by the laws of physics.
3) As pointed out in my note, Minotti states that self-acceleration of the EM Drive if due to General Relativity theory with the scalar coupling field, implies negative mass. Lobo has discussed a number of other reaction-less propulsion that imply negative mass, and McCulloch's theory implies variable mass. Prof. Woodward's Mach Effect theory also discusses how negative mass can be produced. Ditto for Dr. White's theory.
So, I don't discuss how negative mass can be produced, but Minotti's paper gives a consistent theory of how a General Relativity theory with the scalar coupling field can indeed result in effective negative mass for the EM Drive.
..
Are negative mass and negative energy density the same thing. Because I just skimmed through and did a word search in the referenced paper and no where does minotti say that the frustum generates negative mass. He talk about negative energy densities though.
...
Anyone know what minotti's theory would predict for the few DIY projects we have data for?
...If I'm an observer inside of the space station with all the junk piled up into one side of the ISS, I'll feel the slight attraction of that mass. If I'm in orbit around another mass the more massive part of the station with the junk pilled into it will want to point in the direction of the mass. Correct?An astronaut inside the space station cannot change the center of mass of the space station by re-arranging the furniture from one corner to another.
Only an external force or field, can change the center of mass of the space station, otherwise one has to eject mass from the space station, effectively decreasing the mass of the spacecraft, as a rocket ejects propellant to move in space.
That's not what I'm saying. Your correct the mass will remain the same. ...It's mass warps spacetime. ...
ShellAnd I said that in my discussion of conservation of mass and conservation of energy I am not considering warping of spacetime
(why is it that I did not consider warping of spacetime? because of
1) the large amount of mass/energy necessary to warp spacetime
2) the much more complicated (nonlinear) equations involved when considering warping of spacetime
3) the conundrum that warping of spacetime may enable time travel to the past and hence produce problems of causality (hence Hawkings' prohibition of it)
)
I don't like to speculate as to what the consequences of warping spacetime would be without properly going through the mathematics of such speculations.
What I wrote was not based on speculation but it properly considers relativistic conservation of momentum for a lumped mass object.
...
I'd agree with you Doc except for one thing...the reported interferometer results by Dr White. Until that is proven to be a measurement error, it seems that a non-macro/micro stretching of spacetime (elongated laser path) occurred within an EM field. It does not appear to be controversial theory that EM can distort spacetime.
What appears to be controversial is the amount of energy necessary to do so. Alcubierre invented negative mass/energy to make his warp drive formulas, but this is only one approach and there appear to be many over the years. What have we stumbled upon is perhaps my point.
Until we falsify the EW interferometer testing, I'm still betting a sixpack on this being the cause of the emdrive effect. I'll even bet Dogfishhead 120 min IPA (sorry 4 pack only)












It does not appear to be controversial theory that EM can distort spacetime















?
Well, E=MC2. So, at the absolute simplest, if we are feeding E into the cavity at some specific bandwidth, then M equivalency has to go up for the duration we're feeding energy into the thing [minus losses]. Right?
...
I'd agree with you Doc except for one thing...the reported interferometer results by Dr White. Until that is proven to be a measurement error, it seems that a non-macro/micro stretching of spacetime (elongated laser path) occurred within an EM field. It does not appear to be controversial theory that EM can distort spacetime.
What appears to be controversial is the amount of energy necessary to do so. Alcubierre invented negative mass/energy to make his warp drive formulas, but this is only one approach and there appear to be many over the years. What have we stumbled upon is perhaps my point.
Until we falsify the EW interferometer testing, I'm still betting a sixpack on this being the cause of the emdrive effect. I'll even bet Dogfishhead 120 min IPA (sorry 4 pack only)What is there to disagree with?
When you stateQuoteIt does not appear to be controversial theory that EM can distort spacetime
where did I ever state that it was controversial?
Not mathematically considering warping of spacetime does not mean that one is saying that it is controversial.
Neither you or others in this thread have mathematically considered warping of spacetime either
...
Just noting that you haven't considered warped spacetime and hoping that you won't discount it on a scale somewhere between a macro and micro scale using EM fields.
Geeeeeeeeeeeee
Well, E=MC2. So, at the absolute simplest, if we are feeding E into the cavity at some specific bandwidth, then M equivalency has to go up for the duration we're feeding energy into the thing [minus losses]. Right?
Well, if you could convert energy into mass, which isn't likely under the EM Drive modes, but assume you could, then if you have total conversion of a 1kw microwave oven output converted into mass, you would have a thrust equivalent if it's totally in one direction (another unlikely assumption) that would be about 1 X 10-9 newton/s, which would be awfully hard to measure... assuming I did the math correctly.
... Alcubierre invented negative mass/energy to make his warp drive formulas, but this is only one approach and there appear to be many over the years. ..
which is a non-starter , and besides "swimming in space through GR" which involves no change in the location of center of mass. The photonic laser thruster involves another spaceship moving in the opposite direction, so it does not qualify because it involves and external field. Ditto for solar propulsion, thethers, etc. which rely on external fields.