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.
If every atom suddenly gained an electron, they would indeed increase in mass. But a hydrogen atoms would gain the most relative mass as it is the lightest atom, and that would only be an increase of 1/1837th of its total mass now, so… not that much. Masses of heavier atoms and the macro level matter made from them would increase in mass even more marginally. It would be a negligible difference, definitely not be enough for a singularity to form from this increase alone unless a star’s core were already riding that edge.
So their original determination would still be correct, that molecules would fly apart (atomized) and explode outward into the vacuum of space. Now, maaaaybe if the explosive force were enough to cause atoms to collide in space and at relativistic speeds, tiny singularities might form. But their combined negative charge would be far more powerful than their gravitational pull, and they would decay almost immediately, so… no crunch.
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.
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.
kryptonianCodeMonkey@lemmy.world 1 day ago
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.
If every atom suddenly gained an electron, they would indeed increase in mass. But a hydrogen atoms would gain the most relative mass as it is the lightest atom, and that would only be an increase of 1/1837th of its total mass now, so… not that much. Masses of heavier atoms and the macro level matter made from them would increase in mass even more marginally. It would be a negligible difference, definitely not be enough for a singularity to form from this increase alone unless a star’s core were already riding that edge.
So their original determination would still be correct, that molecules would fly apart (atomized) and explode outward into the vacuum of space. Now, maaaaybe if the explosive force were enough to cause atoms to collide in space and at relativistic speeds, tiny singularities might form. But their combined negative charge would be far more powerful than their gravitational pull, and they would decay almost immediately, so… no crunch.
anton@lemmy.blahaj.zone 1 day ago
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.
kryptonianCodeMonkey@lemmy.world 1 day ago
I’m really not even a little bit following what you’re trying to say.
anton@lemmy.blahaj.zone 1 day ago
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.