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Originally Posted by Thelonious
Why would the time be different in different parts of the universe because of temperature? It has been cooling for sixteen billion years, so one can expect a high degree of equilibrium to have been reached.
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for the universe as a whole, yes. For stars and planets, no. So time would necessary flow differently in the vicinity of a star than in the rest of the universe. And that would mean that time on Earth would flow differently than, say, in the outer reaches of the solar system. I know of no studies which show this.
Please note I am not saying you are wrong - thinking about things is very good - but we need some sort of theory from which we can make predictions in order to verify or falsify it.