Two possible distinguishing points between biological and non-biological beings is the speed with which they think, and the size of the structures they use to think with. A non-biological thinking machine might be have neuron-equivalents a thousand times smaller than a biological neurone, and process information a thousand times faster. This does mean (every thing else being equal) that such a small, fast thinking machine would produce a million times as much waste heat per unit volume.
Of couse everything else isn't equal, but this does give an idea of the vast amounts of waste heat an AI might produce; how small it might be and how fast it might think compared to a biological brain.
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