Dark matter exists -- an occasional reminder.

The first evidence for dark matter came from the dynamics of galaxies and clusters of galaxies. But these days that is not our *best* evidence. 1/n
For galaxies and clusters, you can imagine modifying gravity instead of positing dark matter. Every physicist and astronomer knows this. It is not a radical new idea. A number of people have built explicit models, and hundreds of people have thought about the possibility.
And it could potentially work, because in both cases you need only change the strength of gravity as a function of distance, not the direction of the gravitational force. Not natural from a field-theory point of view, but worth contemplating.
But it's the 21st century now. The best evidence for dark matter comes from anisotropies in the cosmic microwave background (CMB), and there are several independent lines of evidence.
medium.com/starts-with-a-…
We even have maps of where the dark matter is, from gravitational lensing. Check out this beauty!
en.wikipedia.org/wiki/Dark_matt…
Here's the power spectrum of CMB anisotropies. The horizontal axis is angular scale, with smaller scales to the right; the vertical axis is amount of temperature fluctuation. There's a big peak at 1 degree, then smaller peaks dying away.
Kind of like the ringing of a bell, gradually fading. Because that's what it is! These peaks come from acoustic oscillations of matter in the early universe, which fade away over time due to dissipation.
But wait! Wouldn't we expect the peaks to decline uniformly? It looks like the 1st peak is huge, then the 2nd and 3rd peaks are the same, before dropping down. Almost like odd-numbered peaks are being boosted with respect to even-numbered ones.
That's exactly right. Ordinary matter oscillates in waves, but *dark matter* just accumulates in over-dense regions. Dark matter is dark, so it doesn't heat up and bounce back in a pressure wave. Fluctuations in dark matter simply grow.
So the dark-matter theory makes an unambiguous prediction: odd-numbered peaks in the CMB, where ordinary and dark matter march together, should be boosted. Even-numbered peaks, where they are out of step, should be slightly suppressed.

This is exactly what we see.
Without dark matter, you expect the peaks to decline uniformly. This was literally predicted in modified-gravity models before the peaks were observed.
arxiv.org/abs/astro-ph/0…
See the dark curve, with uniformly-fading peaks? That's the modified-gravity model without dark matter. See the data? They don't fit it. It's great to have falsifiable theories, as long as you're willing to accept that sometimes they get falsified.
You can keep trying. It's a free country. But the CMB tells us unambiguously that there is gravity pointing somewhere other than where the ordinary matter is. To explain this you need to have extra fields or degrees of freedom of some sort. We call such fields "dark matter."
Roughly speaking, no alternative-gravity approach fits all of the current constraints at once. To even come close, you need to concoct completely crazy and unnatural models, and still you come up short.
arxiv.org/abs/2007.00555
The lesson is: if someone claims to have a theory that does away with the need for dark matter, but they only consider rotation curves of galaxies, you should feel free to ignore them. Or if you're feeling charitable, tell them to check back with a prediction for the CMB.
This conclusion is what lawyers call a "statement against interest." I would love it if gravity were modified! I've tried to make it work myself. But science says we should listen to the data and update our credences accordingly.
Of course gravity still could be modified on large scales. That would be fun. But you *also* need dark matter, even if gravity is modified. Maybe that's the most fun of all? n/n

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More from @seanmcarroll

6 Jan
Personal news: I'll be leaving Caltech at the end of the next academic year. Caltech is great, and I've known wonderful people there. They would be happy for me to stay (as far as I know!), but this specific position is no longer a good fit for me, so I've decided to move on.
I honestly don't know where I will be next - there are possibilities, but various wave functions have not yet collapsed. But I'll still be writing physics papers and philosophy papers, hopefully doing real research in more interdisciplinary areas as well, from whatever perch.
And writing, talking, podcasting, etc. And still an external professor at Santa Fe. Things will be pretty much unchanged from an outside-world perspective. But it does mean I'm not taking on students or postdocs at the moment, sorry about that.
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4 Jan
Idea: space-opera show where the crew is constantly forced to choose between saving people they love and serving the greater good. They choose loved ones every time, like existing shows. Twist is that every time, disaster follows and thousands die.
I mean, if the needs of the many outweigh the needs of the few, the few are going to get the short end of the stick from time to time, right? Let’s give that trolley problem some bite.
(Yes I know some shows do this.)
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It just seems so *reasonable* to say "there might be some evidence, just let the process play out," whether the claim is "there was massive voter fraud" or "UFOs are alien visitors." But in many cases (like these) it's not reasonable at all.
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11 Nov 20
Hugh Everett's birthday! Pioneer of the Many-Worlds Interpretation of quantum mechanics. Let us celebrate by thinking about ontological extravagance. I will do so by way of analogy, because I have found that everyone loves analogies and nobody ever willfully misconstrues them.
We look at the night sky and see photons arriving to us, emitted by distant stars. Let's contrast two different theories about how stars emit photons.
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Most entertaining part of current mess are the folks saying *they’re* not crazy stolen-election conspiracy theorists, but shouldn’t we investigate the crazy claims seriously, because questions have been raised, right?

(Not entertaining at all, actually.)
Hopefully it will count against the credibility of such folks going forward. The naughty pleasure of being an edgy contrarian can be much more gratifying than common sense and clear-eyed evaluation of the evidence.
An infinite number of things could be true. Good judgment entails knowing which are worth taking seriously.
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