Out on the shooting range you fire a pistol and the bullet travels at 500 miles an hour and then you take that pistol on a train ride & while the train is roaring down the tracks at 100 mph you fire a bullet out ahead of the train. That bullet is not traveling at 500 MPH, it is traveling at 600 mph. Outer space travel is the same. If you have a spaceship with an atomic propulsion system; each time you explode one of these you are propelled ahead that much faster. The increasing multiplying of the speed will get us to the stars much sooner than one might imagine. We have the tools now, no inventing required.
What do you say-?
As nice as it sounds, the theory has built-in flaws -- mainly - having to do with
air dynamics on Earth, and
gravitational constraints in space.
The best you can hope for with this methodology is a cascade of "atomic bullets", with each successive bullet having a significant decrease in size ( to optimize energy transfer and acceleration with least momentum loss ), which ultimately imparts an
instantaneous unsustained speed of
x MPH on the "final" bullet.
Without sustained momentum, you would do well to push a grain of sand out of the solar system...
And,
"it very fast becomes very impractical" -- there would have to be a "slow enough" cascade for a human to survive it -- in which case, the cascade itself could probably not be sustained due to momentum loss.
In other words, for a human to be propelled out of the solar system ( without sustained momentum ), the size of the "first bullet" would have to be much larger than the Earth itself - and, "shot out of the gun" at a starting acceleration which a human could endure - with increasing [ survivable ] acceleration for each successive step in the cascade...
(
"That is what I am thinking..." )