Exhaust particles cannot be accelerated out of the nozzle without the application of a force, and the application of that force must correspond to a force of equal magnitude in the opposite direction.
Why must the exhaust of particles correspond to a force of equal magnitude in empty space? That does not make any sense. What makes sense is if the particles are hitting something, pushing the entire vehicle system, exhaust and all, forward.
It makes perfect sense. It's just Newton's Third Law and a little bit of deduction. If object
A exerts a force on (accelerates) object
B, then object
A will experience a force of equal magnitude and in the opposite direction. Therefore, if object
B is observed accelerating in one direction, then we can be sure that object
A was accelerated in the other.
The notion that pushing something applies a force to you in the opposite direction of the thing you pushed is also Newton's Third Law. You can't have it both ways.
It also doesn't make sense to me that a wall could push a fluid in the way you describe. How does a wall push a column of air that is flowing against it, keep the shape of the column, and then use that column to push a different wall, also without disrupting the shape of the column?
The exhaust is a high pressure fluid. It is connected to the vehicle. As the exhaust encounters resistance, that resistance will trickle back to the vehicle.
You're just asserting all of this without warrant or investigation. For one thing, the exhaust isn't always a high pressure fluid. Airplanes fly using the same law of motion yet do not rely on high pressure fluids. The air coming from the balloon in your video is not a high pressure fluid. Water only exerts high pressure at depth (there's no such thing as high or low pressured water...it doesn't compress). Plus, gasses actually lose pressure once they leaves the nozzle and begin expanding.
I also don't know what it means for "resistance" to "trickle back to the vehicle." Are you thinking of it like doing a pushup? Like how the floor applies a force to my hand that, connected to my wrist, arms, shoulder, etc, moves my body upward? If so, I don't think fluids are very analogous to arms. Arms are solid and mechanically attached to hands and shoulders. Fluids and rockets are not similarly attached once the fluid leaves the rocket.
It's like one of those water jetpacks. The jetpack does not rise in altitude until the water has hit the surface. The high pressured water is connected to the jetpack as a single entity. Resistance on the water results resistance on the jetpack. The tension ripples upwards through the whole entity.
Ironically, water jetpacks are an excellent demonstration that I'm correct here. For one thing, see my previous point about water and pressure. For another, check out some videos of them on YouTube. They don't at all correspond to your description. The water isn't in some contiguous stream that pushes the jetpack up like an arm raises a shoulder. Not even close.
Take this photo as an example. There is no sense in which the water droplets splashing into the ocean below are still connected to the jetback in any way. The exchange of forces between the droplets and the ocean has no effect or impact on the jetpack itself. It's just the acceleration of water in one direction from the pack (which applies and equal and opposite force on the pack) that supplies the lift.