That's solvable with EMF generators, really, really powerful EMF generators strong enough to mimic the earth's magnetosphere.
That's the theory. In practice it would take a huge amount of energy to generate a field that can block cosmic radiations. And we'd have to do the same on the Moon and Mars.
Thanks for the link. I'll take a look at it later.
The energy requirement is vastly lessened if you wrap small conductive coils all around the shell of your life support area and generate a cumulatively-strong electromagnetic field that directs particles towards two poles which you can place anywhere with respect to the direction of travel. So instead of blocking cosmic rays with a huge EM field you redirect them ever so slightly using a much much smaller EM field.
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