The problem with this analysis is that the energy WILL get used. It will power our homes and offices, etc. The waste heat that will come from Fusion power will probably be much less than that from current Fossil Fuel usage.
Yes, but it radiates into space. The global warming problem is that greenhouse gases prevent heat from radiating into space, not the generation of additional heat.
Plus, the "little sun" analogy is just plain wrong. They have the same MECHANICS as the sun, but not NEARLY the same power.
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