Just a question, what will happen if:
1) a photon with high energy created a pair of particles with mass
This step is impossible, you would need 2 photons colliding from different directions to obey conservation of energy and momentum. (One way to see this is that with just 1 photon, you could look from a different reference frame where the photon would not have enough energy to create the particles.)
I omitted the details - of course a couple of photons or gamma rays are fed to the target in a strong magnetic field. Pair production often refers specifically to a photon creating an electron – positron pair near a nucleus.
3) a pair of particles annihilates
4) annihilation energy is utilized, used to create a new photon
Again, this step is impossible, annihilation can't conserve energy and momentum with just 1 photon, there needs to be 2, and these would not move in the same direction, they would move away from each other, so there would be no "cycle"
Has this trivial cycle been already discussed?
It isn't a cycle, it involves multiple physically impossible steps. Imagining some other more complicated variation where you don't break physical laws, the intermediate steps are irrelevant. At the end if the final thing the spacecraft pushes against is a electron positron pair, it obeys the equation I stated above. Any intermediate steps are irrelevant, as only the net result, the final momentum of the expelled particles matters. And as stated above, this is less efficient than letting the particles annihilate onboard and then reflecting the gamma rays to make sure that they go in the desired direction. (Or as a practical matter, probably easier to absorb the energy of the gamma rays and use it to power a laser at a frequency that is easier to control.)
When discussing the idea of stellar engines, people should not violate the laws of conservation of energy and momentum. But people can think about increasing the coefficient of useful quality, about the recovery of energy and the use of resources of the environment (the universe). A simple example is a heat pump, where the coefficient of performance (COP) is greater than 100%.
1. I thought about the engine, where there is a long pipe (nozzle), where the energy of the reactor creates photons, photons create pairs of particles, and the energy of the reactor is spent on pushing pairs of particles through a long pipe into the jet nozzle.
2. When a pair of particles flies in a pipe, it can annihilate.
3. If the annihilation of particles creates a photon flux perpendicular to the axis of the pipe and these photons are absorbed on the side wall of the pipe and create radiation pressure on only the side walls of the pipe.
4.The annihilation energy will return back to the rocket reactor, but the rocket will continue its flight.
What I was talking about when I mentioned recycling energy and pushing on quasi pairs many times per second in a cavity was that in the discovery of gravitational waves one of the papers discuss that even a star produces gravitational waves. The particles are undergoing massive amounts of changing acceleration.
To propel a cavity something needs to escape the cavity and carry away momentum and energy. This vacuum / space time seems to be capable of doing that. When black holes merge as they lose energy they spiral in and they just keep going faster and faster. But they are losing energy to space-time gravity waves. So how does this happen. Gravity or space-time has a lot of parallels between it and electromagnetism. Just as there is a magnetic effect in electromagnetism there's the gravito magnetic effect or Lens Thirring affect in Space-time. As the electric field drops off with distance squared, gravity drops off distance squared. They say gravity seems to be only attractive but I might beg to differ that there there may be a white hole equivalent in the form of dark energy, however for gravity like Fields attract instead of repel. It may be that for gravity unlike fields repel as in the negative universal cosmological constant is pushing away matter.
So anyway, when a charge accelerates it generates radiation that travels at the speed of light. This radiation is actually repulsive to the accelerated charge and absorbs energy from the charge itself. Any other charge absorbing this radiation is also repelled by the radiation. if the charge doesn't absorb the radiation then then the radiation can pass by without transferring energy as a gravity wave my pass by without exchanging energy.
Gravity waves are kind of similar. For a gravitational object you can imagine that the vacuum closer to it is more depleated in energy. In a sense matter is like a hole in the vacuum. Lower energy levels cause time to slow down which is a relativistic effect. Objects tend to want to gravitate toward the lower energy levels. I suspect a gravity wave may actually be indicated by elevated energy levels within the vacuum. As the black holes spiral in there should be an elevated wave in front of them, it's gravitationally repulsive, and time should tick faster in this energetic region. This energetic vacuum may be the white hole equivalent, represents how energy is pumped into the vacuum, witch prompts the negative cosmological constant.
Repulsive forces are necessary for exchange of energy between two different systems, matter and space-time. Just as an object emitting photons is repelled by their field so that energy can be absorbed from the object to the photons, gravitational waves should be repulsive which allows transfer of energy from the matter to space-time. A force is necessary for the energy transfer by F.dx=E . Normally though as the wave passes the object is pushed one way, and then is pushed back and no energy is actually transferred unless it is interacting with another Force.
I'll give an example of this. Ligo has mirrors in which they bounce lasers multiple times between them. This creates pressure on the mirrors. As the gravity wave passes because there is laser pressure on the mirrors energy is transfered from the gravity wave to the laser. some say it's just a phase change, but a change in the photon energy induces a change in wavelength, with which causes a change in phase and is an indicator of of energy transfer.
Another example is eugene podkletnov gravity impulse generator, which some are sceptical of, but I suspect to be the real thing. His gravity waves seems to be repulsive as it passes by pushing on a pendulum. Because the pendulum interacts with gravity, his gravity wave would normally just displace the matter speeding it up and then slowing it down and giving it no velocity in the end but in the gravity wave displacing his pendulum, it changes it's height in which the Earth's gravity is pulling it down and so energy is transfered. He claims this gravity wave can even deflect a laser. He does this by massively accelerating electrons in a superconductor via capacitor discharge. Jerk to create his gravity wave.
So my referencing a cavity which repeatedly creates some kind of a quasi pair which then is accelerated and then annihilated in the cavity where the energy of the photons is then recycled to recreate the quasi pair and then re-accelerate that pair again is suggestive of repeated gravitational wave generation. I mentioned the importance of a cavity and recycling that energy to increase efficiency. This happens in the combustion engine we're hot atoms are repeatedly accelerated against a cylinder wall. Without pressure, you just have one kinetic collision and very little energy exchanged between the gas atom and you're a massive object what you want to accelerate, your car.
So it's not the radiation pushing the cavity, it's the escaping energy in the form of spaceTime I was suggesting that would be pushing the cavity.
there may be other things you can do. Use of gravitational phased arrays to continue to amplify the wave. Larger more repulsive waves make for easier exchange of energy. Not sure if there is a way to surf the wave. Eugene claimed his gravity wave moved FTL , which was quite the claim but maybe if the plank length was largely inflated and the non local speed of light was increased.