So the complete total of all the photons in the cavity are giving their momentum up, and more, to thrust every second. How can that possible make sense. And even don't look at the energy.
Unruh waves can't come close to making a big enough change in mass to cause lost mass to exceed the existing mass. (mi=m(1-L/4T)) For this to work, T would need to be equal to or less than L/4.
There is one way of course but if I say "Tachyons," I'll likely be banned.
Then don't say 'Tachyons.'
I've has idle thoughts about a long shot possible resolution to this problem these past couple of days.
Muletron posted a video a couple days ago giving sort of a capsule history of research into subatomic particles. The part that intrigued me was where the narrator put forth a chart showing a dozen plus subatomic particles discovered in the search for the Higgs boson. His attitude - which I'd seen before in print - was one of embarrassed dismissal. The attitude being these particles are a sort of unprofitable sideline, not worth detailed investigation. Yet I wonder...might not one or more varieties of these particles hold part of the solution to this drive? They are elementary 'building block' type critters - maybe certain rules don't fully apply to them? Maybe they're attracted to photons?
Seems to be three very different hypothesis for EMdrive effect to be real (usable in deep space)
1/ Unknown particles constitute a "bath" and EMdrives are interacting with them. We did a few calculations with dak matter (axions...) as candidate and it could just very barely account to relevant thrust magnitudes given the proven upper bounds of dark something in solar system (as "something", whatever it is, surely has gravitational effects) and taking all but the most optimistic assumptions, in particular a perfect coupling, that is using a coupling constant of 1 when the experiments seems to put the bar below 10^-15. Going faster and faster, at some point one will have to overcome more medium incoming momentum than can get from throwing it backward even faster (i.e. air breathing at Mach 10...) and therefore we should expect a decreasing efficiency at speeds approaching 1/(thrust/power)
relative to the medium. That is lower usable speed when higher thrust/power. The superconducting Shawyer thingy of latest presentation (was it really built and tested ??) at 1N/kW is around 1km/s. This means that strong sidereal times correlation should be expected in the experiments results, unless the medium "wind" is synchronised with earth orbit and earth rotation at its surface. Unlikely for a weakly interacting medium. Any case, not only interstellar but also interplanetary transits couldn't count on 1N/kW.
I see one last chance if the medium is composed of particles with widely varying velocities around the average local flow (that is, we have a hot gas of particles) and the device somehow succeeds at interacting only with the ones going the right way (roughly comoving, or coming from behind and pushing like for a sail) . At least two hurdles to overcome then : the amount of "dark something" which we know is bounded (from gravitational studies) and barely making it if all of it were used, and there we are talking of using just a part of it. And the fact that this "coupling with only the velocities that serve my purpose" seriously looks like a Maxwell's demon : need to properly address the thermodynamic of it.
2/ Quantum vacuum would also fit in this category of "bath" but exhibits a very specific behaviour : contrary to any sea of real particles it doesn't define a natural local rest frame (an average group velocity vector in the vicinity) if Lorentz invariance is to hold. So if it is a plasma, it is a plasma that is always harvested at rest speed. This is very convenient when compared to the previous situation. Also, this is breaking apparent energy conservation... Whatever we are harvesting at 0 speed relative to us were not 0 speed relative to others, and hence we are subtracting energy from vacuum. Which is, by definition, supposed to be a zero point... I don't see that is making any sense. Much more serious brains than mine on the subject ( John Baez, Sean Carroll ) have the same view about this quantum vacuum plasma. Authority is not a scientific argument by itself but at some time one has to say when an idea (even to explain a supposedly real effect) is just so deeply flawed as being nonsense. We may also have a Maxwell's demon hiding its hideous face behind the curtain of "quantum vacuum plasma".
3/ We are not using a bath or aether, the EMdrive just comes by on its own in nothingness and emits something that is forever lost (can't be closed, closed solutions can't see their centre of energy depart from an inertial trajectory). So if I consider a device in its own rest frame, it is spending a infinitesimal energy E, with this Energy it "creates" and gives velocity to a "thing" of mass m that is leaving and never to come back again. With Gamma the Lorentz factor 1/sqrt(1-v²/c²), v in the rest frame where the device is not (yet) moving.
E = gamma m c² Energy spent by device to give thing of mass m a velocity of v
p = gamma m v Momentum of the thing of mass m and velocity leaving the device forever
We agree that conservation of energy and conservation of momentum are the two most fundamental rules to apply. So for the later, the device gets a reaction kick of p momentum, at the price of spent energy E.
Thrust is momentum kicks per second, Power is spent Energy per second. Hence :
thrust/power = p/E = v/c²The consequences are
thrust/power < 1/c => v/c² < 1/c => v<c classical rocket, reaction on usual mass
thrust/power = 1/c => v/c² = 1/c => v=c photon rocket, reaction on particles of 0 rest mass
thrust/power > 1/c => v/c² > 1/c => v>c tachyon rocket, reaction on particles of imaginary rest mass
So in effect : we say tachyons !That explains all, why claiming thrust/power>1/c for EMdrive automatically seems to contradict energy conservation. We are getting more total kinetic energy at the end of a mission than was put in by the generator, because we are emitting debt, each tachyon carries away at FTL velocity a borrowing never to be paid back.
Except that apparently to prevent problems of causal paradoxes, a system that emits tachyons also receive tachyons, and
can't tell the difference between emitting and receiving tachyons. That or otherwise superluminal particles either don't exist or never interact (not even gravitationally). Anyway, would make a pure tachyon emitter an impossibility.
Got to speak to my government about this interesting prospect of sending debt away at FTL speed to be sure never to hear about it again.