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How can we get to Mars faster
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Okay, so where do the neutrons go in your head? Gotta go somewhere.
Re: your point about water in its purest form. It means zero contamination. We aren't even capable of doing that, and the purest we can make would kill humans pretty quickly for the similar amount we ingest.
what neutrons? we're talking about shielding of spacecraft moving out of earth's magnetosphere, not a spacecraft travelling through core of active nuclear reactor
the kind of radiation that is relevant are high energy protons (and alphas and electrons, with a sprinkle of heavier nuclei) from sun, mostly. there's no relevant source of neutrons
(and incidentally water is pretty good at absorbing neutrons too)
I think you are confused about how radiants work on Earth vs Space.
Again, the OP is about water "absorbing" radiation, and then being drinking water. It's not possible once past a certain amount. This is not possible.