schwarzschild radius of an atom
I got curious to post this doubt, what could be possibly the schwarzschild radius of an atom? how small could it be
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@Gyro Gearloose
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.@Gyro Gearloose
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.G is of the order 10^-11, mass of an atom (lets assume hydrogen) is of the order 10^-27 and 1/c^2 is of the order 10^-16. So the schwartzchild radius would be of the order 10^-54m. Idk how to put that into persepective but radius of the hydrogen atom is of the order 10^-11m.
oh thats incredibly small and thx for solving it out for me
but is that size possible to reach
the planck length is 1.6 * 10^(-35) metres, beyond which our known theories of physics don't function anymore
so definitely not
If a length smaller than this is used in any measurement, then it has a chance of being wrong due to quantum uncertainty.[2] It is about 1.616255×10−35 m or about 10−20 times the size of a proton. It is one of the Planck units, defined by Max Planck. It is an important length for quantum gravity because it may be approximately the size of the smallest black holes.[3]shit gets trippy
Ah right forgot about the plank length.
Physics trippy fr fr.
Tough to say. Swarzschild radii are flawed quite often, due to other interactions and forces, and the uncertainty gets all the more worse when you go to such small scales
"it may be approximately the size of the smallest black holes" like wtf
Nuclear forces and electromagnetism will mess up everything.
very good point
gravity is basically negligible at that scale innit
Plus, space-time curvature on that scale is practically non-existent.
Ye
so what can we conclude regarding this topic
guys
but when we combine the concepts of schwarzschild radius of an atom with string theory
one theory says that the singularity would be replaced by a Fuzzball which is known as Fuzzball Hypothesis
this fuzzball is made out of strings which are smaller than the atom
overall we need to stop working on this conversation and i will approve this doubt as solved after sometime
+solved @Nimboi [ping if answering] @Opt @SirLancelotDuLac
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