> Space is so ridiculously big that I don't think it will ever happen
You are underestimating acceleration. To travel and come to a stop at 4.2 light years, a spaceship with 1g acceleration barely needs 3.5 years in relativistic ship time (~6 years earth time).
The technology to sustain 1g acceleration through 3.5 years is a different story, but very much within our understanding of physics (and not warp drives, etc). 20-50 years of engineering can get us there.
I want to believe, but I think it'll be a lot more than that. The rocket equation is a stone cold bitch in this case.
Sustaining the thrust that accelerates a probe at 1g is very different to sustaining the thrust to move the probe and all the fuel. And it's much worse if you want to stop and not just fly past into deep space.
I think you are way too optimistic. Even with an antimatter drive and 100% conversion efficiency, such rocket would have a fuel to payload ratio of >1000.
Our moon landing missions had a similar ratio, so I assume we can do the engineering to make even a slightly worse ratio work for us a 100 years after it.
In practice it would be better with slingshot maneuvers and picking up mass on the way.
Whatever speed advancements we make on earth, they pale in comparison to sling shotting off of a planet. to make an engine that can go significantly faster, we would need the energy of a planet.
No, it probably can not be a chemical rocket. Nuclear, yes.
My point is that we are in the realm of just needing new engineering (how to make nuclear reactions, or even antimatter-matter collision work for this goal), not new science (warp drives, something else we don't understand about space or gravity, or mass).
You are underestimating acceleration. To travel and come to a stop at 4.2 light years, a spaceship with 1g acceleration barely needs 3.5 years in relativistic ship time (~6 years earth time).
The technology to sustain 1g acceleration through 3.5 years is a different story, but very much within our understanding of physics (and not warp drives, etc). 20-50 years of engineering can get us there.