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Yes the days would be longer. Since the ice that was at the South Pole is now distributed around the world, there is a change in the distribution of mass. Like an ice skater opening their arms. Since the mass is further from the axis of rotation, the rotation slows; which means the days are longer.

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OK, let's try a back of the envelope... http://www.slac.stanford.edu/econf/C0805263/Slides/Budge.pdf states that the total anti-neutrino count from a supernova is on the order of 1e58 and the neutrino energy is on the order of 40MeV. Let's imagine all of these neutrinos would go trough earth, which is the worst case scenario. The nuclear cross section of ...

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As a visual demonstration of Luboš Motl's answer, this: Image obtained using Climate Reanalyzer (http://cci-reanalyzer.org), Climate Change Institute, University of Maine, USA. is the average surface temperature on earth for 2013. This: is the solar flux by Luboš' formula. And here: I've tried to replicate their crazy color scheme. The point is, ...

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