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James_Miller comments on The Octopus, the Dolphin and Us: a Great Filter tale - Less Wrong
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An AI should only avoid wasting energy if energy were a resource that was limiting the maximization of their utility function. If you're a gold-ingot-manufacturing-maximizer, you don't need all the energy available from your star because there isn't enough gold to use it. Even if you're converting everything that isn't a gold ingot in your system into seeds for turning other star systems into gold ingot factories, it's not obvious (to me at least) that you need all the energy available to do that.
You are forgetting about quantum uncertainty. There is always a chance that all of the gold on earth will jump to a blackhole. The more free energy you have, the more you can reduce this probability.