Great question! The Sun loses about 1.5 million tons of mass every second via solar wind, which adds up to 47 billion tons per year. Meanwhile, it captures only about 30,000 tons annually from interstellar matter, a minuscule fraction compared to what it expels. So, the Sun is "losing weight," but at such a slow pace that it doesn't significantly affect its balance over billions of years.

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This is really good news! I'm guessing most of that 47 billion tons settles in the Oort cloud. Our future solar civilization will have plenty of material to work with.