How can absolute zero exist if Einstein proved that mass and energy are related in E=mc^2? Shouldn’t that mean that anything with mass has energy?

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How can absolute zero exist if Einstein proved that mass and energy are related in E=mc^2? Shouldn’t that mean that anything with mass has energy?

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Absolute zero is temperature, so it’s just the motion component of energy. The potential energy locked away in the mass itself isn’t part of the calculation.