Theoretical Effects of Achieving Zero Kelvin in a System

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    Kelvin Model Zero
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I realize this is not possible, so posting statements that it's not will be fruitless
but.
If were possible to achieve zero kelvin in a system
what would theoretically happen?
and would it also have to be universally wide or in a region completely detatched from space and time?
 
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I suppose one way to rephrase your question is:

If I were given a system at absolute zero (by some magical genie or something), what would happen?

Heat would flow immediately from its surroundings and warm it above absolute zero. Just like ice on an oven.

If by "detached from space and time" you mean isolated like in some sort of super-thermos bottle, it would remain at absolute zero. But then, by definition, it would never interact with anything else, so what good would that be?