If Captain America's shield can absorb/deaden any vibrations, does this mean that it can create 0 Kelvin temperatures? Since heat is movement/vibration of atoms, then his shield would be covered in some layer of ice or 0K substance since any atoms colliding with it would lose their vibration.

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No. If his shield were 100% effective at such things, it couldn't do ANY of what we see it do.

Also, as you point out, if it could do such things, it would be covered by a layer of ice. It isn't.

Of course, if plot required 0K temperature for some reason, Iron Man and Cap would work out a way to use the shield to do it. Once.

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