No it doesn't. Its 0
> For instance, my body is using the whole earth as its reaction mass, and is using zero energy pushing it downwards at zero speed
That is not how gravity works. There is nothing happening.
> A jet is much more impressive because it gets that high thrust to weight ratio while using a small reaction mass ejected at a high speed. That is what is required to push an aircraft up to supersonic speeds
I wouldn't call it a small reaction mass. A shit ton air is needed to feed the compressor. A jet sacrifices efficiency to get as much mass thrown out the back as fast as possible.
> if it might be possible to fly supersonic much higher than jets, because there is no reduction in engine power.
Why would there be no loss in engine power. If you are using standard propellers, you are limited by air density. If you are using some electric engine to turn a turbine, you have the exact same issue. What magical engine is this electricity powering?