by johnnydeep » Mon Jul 01, 2024 11:04 pm
Chris Peterson wrote: ↑Mon Jul 01, 2024 6:15 pm
johnnydeep wrote: ↑Mon Jul 01, 2024 5:56 pm
Chris Peterson wrote: ↑Mon Jul 01, 2024 5:48 pm
"Stronger" and "weaker" is probably not the best way to think of it. The force of gravity falls of with distance, while the force of dark energy, while very small, is uniform across all of space. So it dominates when space is nearly empty of mass, which only occurs over cosmological distances.
Sure, but it must be possible to compare the two opposing forces operating between my two protons. But I suppose in retrospect, that in isolated space, it would take much more than a 1 meter spatial separation for dark energy to overcome the mutual attraction between them. I'm still interested in the quantities though.
Well, to further complicate things, the "force" of gravity is the product of a distortion of spacetime created by mass. That makes two masses want to "fall" towards each other. But dark energy isn't a distortion, because it is uniform. It doesn't care about mass (so it isn't like anti-gravity). It is just a steady expansive pull on all of spacetime. But spacetime can't expand against strong gravitational attraction (which is why galaxies and galaxy clusters are not getting larger or separating). Spacetime is held together locally by gravity. The gravitational attraction of a couple of protons (lets make them neutrons, okay... don't need to add EM forces to this problem) is extremely small, so if you could somehow get those particles isolated enough (or just take it as a thought experiment where they are the only things in the Universe),
there will be some distance where dark energy dominates gravity. I wouldn't be surprised if it was a very small distance. But I don't know.
(Yeah, neutrons, except isolated neutrons are unstable. But I guess that doesn't matter for this thought experiment.)
I'm surprised you'd think that (in blue). But surely, this should be calculable based on the Hubble constant?
And one more thought: if dark energy content depends on the "amount" of space, what about when space is compressed in a black hole - does that concentrate the dark energy and result in a greater repulsive force?
[quote="Chris Peterson" post_id=339983 time=1719857755 user_id=117706]
[quote=johnnydeep post_id=339980 time=1719856570 user_id=132061]
[quote="Chris Peterson" post_id=339977 time=1719856138 user_id=117706]
"Stronger" and "weaker" is probably not the best way to think of it. The force of gravity falls of with distance, while the force of dark energy, while very small, is uniform across all of space. So it dominates when space is nearly empty of mass, which only occurs over cosmological distances.
[/quote]
Sure, but it must be possible to compare the two opposing forces operating between my two protons. But I suppose in retrospect, that in isolated space, it would take much more than a 1 meter spatial separation for dark energy to overcome the mutual attraction between them. I'm still interested in the quantities though.
[/quote]
Well, to further complicate things, the "force" of gravity is the product of a distortion of spacetime created by mass. That makes two masses want to "fall" towards each other. But dark energy isn't a distortion, because it is uniform. It doesn't care about mass (so it isn't like anti-gravity). It is just a steady expansive pull on all of spacetime. But spacetime can't expand against strong gravitational attraction (which is why galaxies and galaxy clusters are not getting larger or separating). Spacetime is held together locally by gravity. The gravitational attraction of a couple of protons (lets make them neutrons, okay... don't need to add EM forces to this problem) is extremely small, so if you could somehow get those particles isolated enough (or just take it as a thought experiment where they are the only things in the Universe), [b][color=#0040FF]there will be some distance where dark energy dominates gravity. I wouldn't be surprised if it was a very small distance.[/color][/b] But I don't know.
[/quote]
(Yeah, neutrons, except isolated neutrons are unstable. But I guess that doesn't matter for this thought experiment.)
I'm surprised you'd think that (in blue). But surely, this should be calculable based on the Hubble constant?
And one more thought: if dark energy content depends on the "amount" of space, what about when space is compressed in a black hole - does that concentrate the dark energy and result in a greater repulsive force?