We can check. That conversation was in this very thread. My conclusion was thus:
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I think it much more likely that this planet would actually be a dead star.
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A star like our own will fuse Helium into Carbon during its red giant phase, in the core where the pressure is sufficient (and clearly sufficient for diamond formation). The stellar evolution cycles I know for this size always go to white dwarf, I'm not sure where diamond star comes into it. I'd suggest a cooled white dwarf, ie a black dwarf, but I don't think the universe is old enough to yet contain any such objects. There's probably something else I don't know about. I recall also writing this:
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Of course, I am fully prepared to be proved totally and utterly wrong by genuine discovery, as a good deal of astronomical assumptions and expectations have been (usually by probes).
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