What core temperature ($ ext{K}$) is necessary to sustain conventional hydrogen fusion defining a true star?
Answer
Around $10$ million $ ext{K}$
The defining physical characteristic that separates a true star from a substellar object like a brown dwarf is the ability to initiate and maintain standard hydrogen fusion in the core. This thermonuclear reaction requires immense core pressure, achieved only when the core temperature reaches approximately $10$ million Kelvin ($ ext{K}$). If the core temperature falls below this critical value, even if the object is massive enough to fuse deuterium (a process requiring much lower temperatures), it cannot sustain the main-sequence burning that defines a star's long existence.
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