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The ideas of dark matter and dark energy are mind blowing. Why is it said that dark matter overcomes dark energy in galaxies but it loses the battle in intergalactic space? In other words, why is dark energy dominant between galaxies but not inside galaxies?

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  • $\begingroup$ Related: Why does space expansion not expand matter? and links therein. $\endgroup$
    – Qmechanic
    Commented Aug 3, 2020 at 8:18
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    $\begingroup$ Short answer: dark energy keeps social distance while dark matter tends to clump en masse. Therefore, within our galaxy the dark force is strong with the DM superspreader, hence Trumpping DE. $\endgroup$
    – MadMax
    Commented Aug 3, 2020 at 17:19
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    $\begingroup$ Try thinking of DM and maybe DE as as yet not-understood attributes of gravity rather than "things" in their own right and see if it changes your perspectives. Often enough in Science "The Emperor has no clothes on" but it can take decades to centuries to realise it. Whether that is the case here is tbd, but it seems as good a postulate as most. (Some will disagree :-) ). $\endgroup$ Commented Aug 4, 2020 at 12:20
  • $\begingroup$ @RussellMcMahon my understanding is that observations of e.g. the Bullet Cluster are a significant blow to models that treat dark matter as a modification to gravity. $\endgroup$ Commented Aug 4, 2020 at 17:37
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    $\begingroup$ Also: in principle you don't need dark matter in order to "overcome" dark energy on small scales. You just need enough attraction between nearby things. For example, there's very little dark matter within the Solar System, but the gravitational attraction of regular matter is enough to hold it together. Similarly, human beings are held together with intermolecular forces without any need for gravity, and even in deep space would not be torn apart by dark energy. It's the very low density of dark energy that makes it so insignificant on small scales. $\endgroup$ Commented Aug 4, 2020 at 17:41

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These aspects of astronomy and cosmology are indeed very interesting and very significant, but don't allow the names to get in the way of your understanding. Dark matter is a form of matter made (most likely) of particles which don't interact very much with the matter we are more familiar with (i.e. protons, neutrons, electrons etc.). The evidence for it has several strands (rotation curves of galaxies, gravitational lensing, calculations of structure formation, calculations of matter content from nucleosynthesis in the early universe, etc.)

The evidence for dark energy is summarised here: What is the evidence that dark energy exists? (as of 2020))

"Dark energy" is a rather confusing name, in my opinion. It refers to the behaviour of the expansion of the universe at the largest scales. Ordinary matter tends to pull things together by gravitational attraction and therefore always slows the expansion. But the equations of general relativity allow that there might be effects which accelerate the expansion. Such effects get the name "dark energy". I wish the cosmologists had settled on a better name. But there it is. The name arises because this contribution to the overall dynamics of the universe enters the equations in two places, one of which behaves like energy and the other of which behaves like stress, in fact a form of tension (the opposite of pressure). But in physics if something behaves like X then we say it is X. So it is called energy. Dark because it does not emit electromagnetic radiation.

The most significant thing about this contribution called dark energy is that it enters the equations of general relativity as a term which just gets added on, irrespective of where the matter in the universe may be. It is added on in exactly the same way everywhere. And most of the universe is vast empty voids between filaments of dark matter. Therefore the dark energy contribution adds up to a large total effect on average, even though it is tiny compared to the ordinary matter and dark matter at any given place where matter is present. The reason why the gravitational attraction of ordinary matter and of dark matter easily wins against the repulsive effects of this other term, wherever the matter is actually present, is simply that the dark energy per unit volume is so small. But after averaging over the whole volume of the universe it nevertheless makes the biggest contribution to the dynamics of the whole universe on average, because it is present throughout the otherwise empty voids, and those voids make up most of the volume.

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    $\begingroup$ The distribution of dark energy is an open question. The simplest model is a cosmoloical constant, but that may be a simplification of a model that varies over space and in some other models it isn't realistic to belive dark energy would be exactly constant. $\endgroup$
    – John Davis
    Commented Aug 3, 2020 at 19:04
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    $\begingroup$ @JohnDavis yes; but a cosmological constant remains the simplest postulate and if dark energy is inhomogeneous then the main thrust of my answer will still be correct I think. $\endgroup$ Commented Aug 3, 2020 at 19:36
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That's simply because there the dark matter density in galaxies is high, but the density in intergalactic space is low. The reason for that, in turn, is because dark energy is a property of spacetime itself - any spacetime, wherever it is. In contrast, dark matter like normal matter follows gravitational forces and clumps into galaxies and other such structures.

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Try calculating the density of dark energy today. Use the density of dark energy (usually quoted as $\Omega_\Lambda \sim 0.7$) in conjunction with the critical density. You should get an extremely small number - in the vicinity of $10^{-27} kg/m^3$.

Obviously this density is minute by terrestrial or even intragalactic standards. It's so small that the best vacuums that can be made on Earth contain a larger density of matter, e.g. the pressure of the vacuum inside the Large Hadron Collider is about $10^{-11}$ millibars, or about $10^{-19} kg/m^3$ when expressed as a density. Therefore it should be no surprise that dark energy is not dominant even within the vacuum of the LHC.

For comparison, the matter density in intergalactic space is about $10^{-27} kg/m^3$, hence this is the place where dark energy can actually dominate the physics.

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