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how close is the nearist black hole in light year

Those are just the closest ones we know of. A black hole, as its name suggests, is black. If it's paired with a star and is drawing in matter, then the heating of the accretion disk gives off detectable gamma rays. But contrary to the portrayals in fiction that have been ubiquitous since Disney's The Black Hole, standalone black holes wouldn't have accretion disks, since they're in the middle of the vacuum of space and so don't have anything around them to accrete. They'd just be dark and non-radiating, and the only way to detect one would be by its gravity lensing of the light from stars behind it.

Similarly with neutron stars -- many of them radiate lots of energy (pulsars), but the majority may be very dim and hard to detect. Heck, there are red dwarf stars within ten parsecs that we've only recently discovered and probably more we haven't found yet, and there's a good chance there may be brown dwarfs out there even closer than Alpha Centauri. So we can't really say where the closest neutron star is yet, let alone black holes.
 
Not light years...I mean, no matter where are you on Earth, it's not *light years* to Detroit...
 
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