1. Cosmic radiation can be blocked with suitable materials. The drawback is that shielding adds mass, which increases the spacecraft's fuel requirements.

http://www.unexplainable.net/artman/publish/article_671.shtml

The physiological effects of prolonged free-fall can be negated by creating acceleration, either through centrifugal force (a rotating crew habitat in which "up" is toward the axis of rotation):

http://www.spacefuture.com/archive/artificial_gravity_and_the_architecture_of_orbital_habitats.shtml

or by accelerating the spacecraft at a constant rate for the duration of the voyage, reversing the thrust direction at the midpoint (note that this requires massive amounts of fuel):

http://en.wikipedia.org/wiki/Artificial_gravity#Linear_acceleration

2. The theoretical "warp bubble" drive works by expanding and compressing space itself by manipulating "exotic matter," which has a negative energy density.

http://www.daviddarling.info/encyclopedia/A/Alcubdrive.html

As far as we know, black holes are formed from ordinary matter with a positive energy density and not from dark or exotic matter:

http://www.universetoday.com/2008/03/08/greedy-supermassive-black-holes-dislike-dark-matter/

Therefore, there is no relationship between black holes and warp bubbles.

3. Depending on which theory is correct, wormholes may share characteristics with black holes. In fact, a rotating (Kerr) black hole is predicted to have an internal event horizon, the "other side" of which may be a distant part of the universe or another universe entirely. See my previous answer for more information on Kerr black holes:

http://www.mahalo.com/answers/science-and-mathematics/what-is-a-ring-singularity

4. It is possible that the universe exists in more than three dimensions. String theory suggests that there may be as many as 11 dimensions. The additional dimensions are too small to observe directly, although experiments are under way in an attempt to resolve them.

http://skepticsplay.blogspot.com/2009/02/dimensions-in-universe.html
http://skepticsplay.blogspot.com/2009/02/dimensions-in-string-theory.html
http://www.sciencedaily.com/releases/2008/11/081107143616.htm

These extra dimensions would still be part of the observable universe, however. Other universes beyond our own are theoretically possible, but there is no known way to access them (wormholes or Kerr black holes are a theoretical but unproven possibility).

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