There is no shortage of proposals for radically innovative space launch schemes that, if they worked, would get us across the valley to other hilltops considerably higher than the one we are standing on now—high enough to bring the cost and risk of space launch down to the point where fundamentally new things could begin happening in outer space.
This is plainly not true. I know of only three alternative schemes that might be viable, and when you look at what they are and what their caveats are, it becomes obvious why we're stuck on chemical rockets.
Then there's space elevators, which would require a major breakthrough in materials science, and might still be impossible even then.
Then there's the Orion spacecraft design - that is, an extremely large ship propelled by launching nuclear bombs out the back to ablate a shield on a spring. In addition to the political problems, it's also extremely inflexible (it has to be huge or it doesn't work), hard to iterate on (for the same reason), and environmentally damaging (as in "would cause human deaths", not to be confused with the more common "would anger irrational activists").
Finally, there's the space gun idea (as envisioned by Quicklaunch): a wide, neutrally buoyant gun barrel extending from the ocean surface to the sea floor. Unfortunately, the calculations I've seen indicate that the acceleration will be too high for humans, and it still needs a second stage rocket (for fine-tuning its orbit, if nothing else). So, even if this were built, we'd still need rockets for launching humans, and possibly also for launching equipment too large for the barrel diameter. I think this one should be pursued, but it's no historical accident that rockets came first.
It's a bit funny to answer 15 years later... but it's better than nothing. The only way JP Aerospace's idea could work is, first, to get rid of the solar panel and instead use a large mirror in orbit (with its respective other mirrors to focus the beam onto the spacecraft) which would provide the sunlight. Now we have much more energy available than before. Second, for this system to compete with, or better yet, completely outclass any rocket, it must operate with air-breathing engines. The best ion engine I see for this application is the VASIMR. As its n...
http://www.slate.com/id/2283469/pagenum/all/
It's a long article, but the most relevant stuff is at the end, about how we're pretty much locked into the existing rocket technologies: