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.
Grain of salt: I love physics, but I’m not a physicist.
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.
It would probably go crunch not boom. https://whatif.xkcd.com/140
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.
Grain of salt: I love physics, but I’m not a physicist.
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.