Entropy in an infinite spatial/time universe would be at its maximum. There would be no macroscopic/microscopic diferences of state in any area of the universe and no differences in energy to drive any further change. That universe would have 'wound down.'

:-?

Is it usually taken that an infinite spatial universe is also infinite temporally?
Researching...

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Feynman
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Science is a way of trying not to fool yourself. The first principle is that you must not fool yourself, and you are the easiest person to fool.

Religion is a culture of faith; science is a culture of doubt.