It depends on which constants are affected and to what degree. That would be the difference between the decay of uranium for instance verses that of say heavy water.
Heavy water is not radioactive. Deuterium is stable as is Oxygen 16. What comparison are you trying to make between water and uranium? After all, it would be extremely difficult for hydrogen to emit an alpha particle.
Actually, the Sun’s formation itself is still not workable physics, regardless of the fundamental constants. Therefore, I deem the claim it would stop functioning as a mute.
You deem? Someone takes themselves very seriously.
Regardless of your opinion as to how the sun formed, is there some doubt in your mind regarding whether the sun's energy is produced from fusion of hydrogen? Because the question of whether fusion would work NOW has essentially nothing to do with how the sun formed.
About accelerated decay rates, here is an article suggesting two possible constants that might have changed.
What would be of interest, and I believe we can find an existing on topic thread to discuss the subject in, would be the ramifications of changing those constants and whether or not the consequences would be observable and thus ruled out by evidence already at hand. Unless one of the consequences is properties of light...
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