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Microsoft (Research) beat you to it: https://www.microsoft.com/en-us/research/project/natick/

Still a significantly less dumb idea than space data centers.

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I'm imagining a certified scuba diver rubbing their wetsuitted hands gleefully as they dictated that comment
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I imagine that you could design an underwater data center like a submarine. I.e. It could be brought to the surface for maintenance.
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