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Nothing in physics says it is impossible. The current theory in thermodynamics is that the general arrow of entropy applied to biology is decreasing internal entropy (of the cell or lifeform) at the expense of higher external entropy.

Are you prepared to bet on this?

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As far as I know, the currently most accepted hypothesis for the universe is that it will reach a state of thermodynamic equilibrium, or heat death[1], which is definitely incompatible with relying on entropy, and life in general.

We have a bit of time to worry about that if we manage to get rid of aging though, I'll give you that !

[1] https://en.wikipedia.org/wiki/Heat_death_of_the_universe

Life requires usable external energy to effect that decreasing internal entropy. Usable energy is a finite resource in the universe, what happens when that runs out then? Certain death.

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