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Originally Posted by rodin
why must it slow down with depth?
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Why not? Please try to show us, in an appropriate mathematical treatment of heat capacity and heat flow in an iron core and silicate mantle/crust, why you think it should have a steeper temperature gradient down there.
It is not assumed. It is inferred by geophysicists on the basis of aforementioned thermodynamic characteristics.
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What would be the consequence of a core many times hotter than current estimates for matter down there? Could matter be collapsed or supercondensed? Is there a big fission reactor down there?
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My educated guess is that the surface would be much hotter, and that we would not be here to speculate about anything.
Plenty to spit out, because it tastes bad. Sorry, I could not resist a wisecrack.