In the example in from that what if, they are putting a universe’s worth of mass in the volume of the moon, so it would create a super massive singularity. That’s not what is happening in here.
Not quite, xkcd put a moons worth (by mass) of electrons together, so if we add an electron to each atom we go down four to five orders of magnitude.
The black hole came about, because the electric charge creates a electric field in which the electrons have a potential energy that by E=mc^2 is equal to the mass of the universe. If we apply our scaling factor we still end up with black holes everywhere.
Lets play with those numbers:
Scale factor between Sagittarius A* and the observable universe 10^37 / 10^53 = 10^-16
Mass of Moon 10^23
Mass of electron cloud equivalent to black hole 10^23 * 10^-16 = 10^13
mass of electron added object equivalent to black hole 10^13 * 10^5 = 10^18
That means adding an electron to each atom is enough to rival the black hole at the center of the Milky Way. Even if I miscalculated by many orders of magnitude, at least each planet collapses into one.
I’m really not even a little bit following what you’re trying to say. What units are you using? What does the Sagittarius A* have to do with anything? What scale factor are you talking about? Mass? Volume? “Mass of electron cloud equivalent to black hole” what electron cloud? Where are you pulling these numbers?
Mass isn’t what determines if a singularity forms. Density is. Enough mass has to be formed in small enough volume to form a singularity. Mass more most matter would have to multiply by many many orders of magnitude for a planet to form one. Adding a single election to each atom doesn’t do that.
Maybe charge can play a factor, but I don’t really have any idea how exactly or how significant it is.
The first half of my comment is the one that matters, the second half is a sleep deprived Wikipedia binge.
The units are kg rounded to the next power if 10. The numbers come from reverse engineering the article and Wikipedia. Sagittarius A* was a the first black hole I could think of. The scale was between mass of electron (like in the article) and mass of an atom (relevant to the post).
“Mass of electron cloud equivalent to black hole” what electron cloud?
An imaginary cloud of electrons similar to the one in the what-if. One that has the energy equivalent of the mass of a black hole. Due to the reduced charge density there would be less energy and therefore black holes, but I am convinced that a lot of objects would collapse.
Not quite, xkcd put a moons worth (by mass) of electrons together, so if we add an electron to each atom we go down four to five orders of magnitude.
The black hole came about, because the electric charge creates a electric field in which the electrons have a potential energy that by E=mc^2 is equal to the mass of the universe. If we apply our scaling factor we still end up with black holes everywhere.
Lets play with those numbers:
Scale factor between Sagittarius A* and the observable universe 10^37 / 10^53 = 10^-16
Mass of Moon 10^23
Mass of electron cloud equivalent to black hole 10^23 * 10^-16 = 10^13
mass of electron added object equivalent to black hole 10^13 * 10^5 = 10^18
That means adding an electron to each atom is enough to rival the black hole at the center of the Milky Way. Even if I miscalculated by many orders of magnitude, at least each planet collapses into one.
I’m really not even a little bit following what you’re trying to say. What units are you using? What does the Sagittarius A* have to do with anything? What scale factor are you talking about? Mass? Volume? “Mass of electron cloud equivalent to black hole” what electron cloud? Where are you pulling these numbers?
Mass isn’t what determines if a singularity forms. Density is. Enough mass has to be formed in small enough volume to form a singularity. Mass more most matter would have to multiply by many many orders of magnitude for a planet to form one. Adding a single election to each atom doesn’t do that.
Maybe charge can play a factor, but I don’t really have any idea how exactly or how significant it is.
The first half of my comment is the one that matters, the second half is a sleep deprived Wikipedia binge.
The units are kg rounded to the next power if 10. The numbers come from reverse engineering the article and Wikipedia. Sagittarius A* was a the first black hole I could think of. The scale was between mass of electron (like in the article) and mass of an atom (relevant to the post).
An imaginary cloud of electrons similar to the one in the what-if. One that has the energy equivalent of the mass of a black hole. Due to the reduced charge density there would be less energy and therefore black holes, but I am convinced that a lot of objects would collapse.