Fate of matter with universal heat death

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Loren Booda
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Assuming the eventual heat death of the universe, would there be a time when all matter becomes superconducting, or manifests as quantum condensates?
 
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I think the theory is they will all decay into low energy photons.
 
Might there be an cosmological era when superconductivity or condensates predominate? In the lab they seem the most distinctive phenomena at low temperatures.
 
It depends. If protons decay there will be no matter to be superconductive, but if they don't then via quantum tunneling all matter will eventualy behave as liquid.