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Comment by andyjohnson0 | Hacker News Reader

Woops. Yes, galaxies. Too late to edit.

> Anyway, given the number of galaxies in the ring, being at different distances but their projections just happening to form a rough circle would be even more astonishing than the galaxies in fact sharing a causal history due to some unknown early-universe mechanism.

I don't understand what you mean by this. Why would it be "more astonishing" than an actual causal connection? Surely astronomers are more interested in causal connections than observational coincidences?

To illustrate: the stars making up the constellation of Norma [1] form a rough square when seen from earth, but as their distances from Earth vary greatly this is just an illusion caused by Earth's relative orientation to them. Given the Copernican principle (which I accept is not a physical law) I'm struggling to see why a group of galaxies that form a circle only when seen from "near" earth [2] are actually cosmologically significant.

I accept that the ring contains more than four galaxies, and this makes the ring more statistically significant than a square of galaxies. But it still implies a privileged viewpoint in order for it to be actually significant. I still have the gut feeling that this potential significance is more than offset by the enormously greater observational scale.

tl/dr: why is this more than just naming a new constellation?

(Just to re-iterate: I'm interested in understanding the errors in my mental model - and I'm not trying to poke holes in the work of scientists more qualified them me.)

[1] https://en.wikipedia.org/wiki/Norma_(constellation)

[2] And also, I guess, from a similar point on the other "side" of the ring

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> Woops. Yes, galaxies. Too late to edit.

Not even galaxies, but massive galaxy clusters. The spatial smoothing used for the ring image is a 2D gaussian with an equivalent width of 11 Mpc, or 37 million light years, big enough to contain all the 2000 galaxies in the nearby Virgo cluster with room to spare. That's for each point in the ring (and that's why they all look so nice and round. These astronomers are playing a statistical game where a pixel combines information from trillions of stars) It's called the Big Ring for a reason. Our own Laniakea supercluster [1], whose dimensions are bigger than anyone imagined up to a few years ago, can be tiled inside the ring several times over.

At that spatial scale, the Universe is supposed to be homogeneous. We do not have plausible mechanisms to generate structures on such a massive scale.

Regarding your analogy with a constellation, yes you can always draw arbitrary squares and triangles among bright stars. But if you had 20+ stars arranged in a circle like that ring, no one would think it was a chance projection, you would demand a physical explanation. We do in fact have such a ring around us: the Gould Belt [2], made of young stars all around the Sun. It is difficult to recognize precisely because we are inside it, and its stars are spread all around the sky. And, of course, some kind of physical explanation is invoked for this ring as well.

Moreover we do know it's an actual ring, and not some chance alignment, because we can derive the distance of each point from its redshift, and it turns out that they are all quite similar. The authors spend quite a few pages describing the 3D ring structure, showing that it's a ring only when seen from our direction, and how it would appear like an arc or a strange shape from other viewpoints. It would still be a kind of overdense structure, but maybe more difficult to recognize.

BTW the mechanism used to detect the ring is quite clever: it's not a sky image, but rather an absorption map: thousands of background quasars provide a sort of uniform illumination, and they look where this light is removed by clumps of matter.

[1] https://en.wikipedia.org/wiki/Laniakea_Supercluster

[2] https://en.wikipedia.org/wiki/Gould_Belt

Thank you for taking the time to write such an informative response.

> We do not have plausible mechanisms to generate structures on such a massive scale.

Actual structure no. But, random chance can make things look like a structure on this scale.

> But if you had 20+ stars arranged in a circle like that ring, no one would think it was a chance projection, you would demand a physical explanation.

I would generally assume it to be random. In galaxies stars move around far to much for any structure from their initial formation to remain for long, and forming a ring long after creation would just be happenstance.

> I would generally assume it to be random.

But its not, it has structure - it looks like ring or arc. The universe should be homologous at this scale.

Every formation of galaxies has structure.

Random processes can appear to have meaningful structure, but that’s just because we value some outcomes more than others.

> The universe should be homologous at this scale.

That doesn’t mean we’re going to perceive it as homologous. A true random number generator spitting out 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 would be freaky as fuck to see, but that doesn’t make it non random.

This is true, but at this scale, aren’t we looking at a moderate portion of the visible universe? This is hundreds of thousands or millions of galaxies appearing with some strong correlation, I believe. There are only a few trillion galaxies in the observable universe, so it’s not like we have 10^20 chances to observe random chance correlations like this.

I’m just talking without actually having done a close reading or done the statistics for myself, so I could be quite wrong.

Check out the preprint: https://arxiv.org/pdf/2402.07591

It’s less impressive when looking at the background data than how it’s described.

> Random processes can appear to have meaningful structure, but that’s just because we value some outcomes more than others.

No. It's because some structures are much much much less likely to form randomly than other structures.

If you throw 1000 dices, is it possible to get all one? Yes. Is it likely? Not at all.

Why do planets look like a sphere (approximately)? Because that's the most probable shape if things happen randomly. If a pyramid-shaped planet was found, scientists would freak out. This galaxy ring phenomenon is similar to that (but not that crazy).

Finding ~50 dots arranged in a (very loosely defined) circle, from any projection, of a dense set of 2 trillion of them is very plausible.

Actually, you would have a hard time producing this set in such way that no "circles" like that are found at all. It would have to be a very artificial distribution of points in space for you not to observe this, like all of them arranged in a single line, or a giant rectangle, idk.

> Finding ~50 dots arranged in a (very loosely defined) circle, from any projection, of a dense set of 2 trillion of them is very plausible.

It depends on the size of the circle, though. The smaller the size, the more likely the probability is. But that’s only for a particular combination of 50 dots. Now we have to average out of all possible circle sizes and all combinations of 50 dots. Can someone do the math (or the simulation)?

On a first glance it seems so, but ... could it be the opposite?

I'm thinking, the larger the space, the larger the number of points contained within it, so the larger the probability of them being arrange in such way that blah blah ...

We need a math guy to chime in. I have a hunch there may be a theorem about something like this already.

> If you throw 1000 dices, is it possible to get all one? Yes. Is it likely? Not at all.

That's literally as likely as any other possible outcome.

Let's simplfy this to a coin toss, which is more likely:

HHHHHH

HHTHTT

HTHTHT

They all have the exact same odds of appearing, we might just tell ourselves one formation is more special than any other.

Of course each instance has the same probability. But we're not talking about the probability of an instance, but rather that of a set of instances.

In the dice example, it's obvious that the probability of getting at least one dice facing two is much more likely than the probability of getting all dice facing one.

Similarly, in the planet shape example, I hope you don't think that a pyramid-shaped planet is as likely to form as a sphere-shaped planet.

Yes, a large set of instances is more likely than a single instance (all things being equal).

However that doesn't mean that a sphere is any more or less likely than any specific other structure. It's an small but important distinction.

No, a pyramid shaped planet is not as likely to form as a sphere shaped pyramid. Definitionally a pyramid shaped planet is impossible.

> However that doesn't mean that a sphere is any more or less likely than any specific other structure.

A shape/structure doesn't have an intrinsic probability. Your sentence is underspecified. Shape of what under what process?

In the context of the shape of galaxies, I think we can agree that if we found galaxies forming a shape like this sentence: "WE ARE COMING", everyone would freak out. So yeah, in this context, some shapes are more likely to form (randomly) than others.

> So yeah, in this context, some shapes are more likely to form (randomly) than others.

Again I think you are confused. Assuming random distribution, 'We Are Coming' is just as likely as any other similarly long structure to form. You just happen to care about that structure more than others - however that doesn't make it more or less likey to form.

That message, in morse code is .-- . / .- .-. . / -.-. --- -- .. -. --..

There are 200B to 2T galaxies in the obeservable universe. If you found lines of galaxies and interperated them as morse code, I'm sure you'd find some interesting words/phrases being said.

You'd expect that phrase in every 2^28 = 268,435,456 random 28 digit binary strings - which is not very many. Keep in mind a galaxy could be part of many, many strings (different index position, different orientation of string).

> Again I think you are confused. Assuming random distribution, 'We Are Coming' is just as likely as any other similarly long structure to form.

You are confused. How could we be back to square one? We've discussed it before. I'm not arguing that "WE ARE COMING" is more likely than, for example, "WE RAE COMING". Of course, they are as likely.

Suppose you have a machine that generates 15-char strings. Yes, "INTERCHANGEABLE" is as likely as "YSVQEPQVIGXOQSR" to come out—but that’s not the point. My point is that the probability of getting a proper English word is very unlikely. Most of the time, you'll get gibberish strings.

Also, I didn't say the sentence to be encoded in morse code. Instead, the galaxies form the literal shape of "W", "E", and so on. I hope you can see that in this case, it's borderline impossible to happen.

> My point is that the probability of getting a proper English word is very unlikely. Most of the time, you'll get gibberish strings.

Sure, but given a large enough sample both will likely exist. So the fact that one happens to be english should not surprise anyone nor does it suggest meaning.

> Also, I didn't say the sentence to be encoded in morse code. Instead, the galaxies form the literal shape of "W", "E", and so on. I hope you can see that in this case, it's borderline impossible to happen.

I used morse as its easy to reason about. There's no reason to think shapes are impossible - you just have to define what makes a shape and then look for patterns that match.

Humans have been finding patterns in clouds, stars and even toast since time immemorial.

https://svs.gsfc.nasa.gov/30505

> Sure, but given a large enough sample both will likely exist.

This applies to every event with nonzero probabilities. What's your point?

> Humans have been finding patterns in clouds, stars and even toast since time immemorial.

I knew this—humans love finding patterns. But our discussion is not about that. It's about the very basic thing in probabilities, which is some event is not as likely to happen as others. This is so trivially true.

The probability of getting a proper English word from a random string generator is much less likely than the probability of not getting it. Thus, getting a proper English word should be surprising. It is as surprising as getting any string from a set of gibberish strings with the same cardinality of English vocabularies.

> So the fact that one happens to be english should not surprise anyone

What should surprise you, then? I'm surprised that we need to talk about this very basic thing three times.

When the entire class of things are unlikely given the number of observations. The odds that I personally may win the Jackpot are low but the odds that someone at sometime wins is very high. So me winning would surprise me but someone winning wouldn’t. Applying that rule to research and a lot of people are looking for something interesting in many domains not just this particular one.

Similarly finding any shape in a random set of points is much more likely than the odds of any one shape.

So you need to adjust for both things people are looked for correlations and the entire class of things that would notice not just the odds of what you happened to see. A random process you run spitting out a famous quote would be low, but you would also be surprised Pi is 3,14 or Pi is 3.14 etc etc.

Thus someone else hitting a random process and getting “To be or knot to be” is now looking at the odds that anyone anywhere would get something that’s close to something memorable which should actually be quite high.

TLDR; https://xkcd.com/882/

> Similarly finding any shape in a random set of points is much more likely than the odds of any one shape.

Obviously. But that’s not the point (no pun intended). My point is that most of the "shapes" would be just an unstructured shape—if you can even call it a shape. "Familiar" shapes will be much much unlikely to form that "uncommon" shapes. (Hopefully this is obvious because the number of familiar shapes are much much fewer than uncommon shapes.)

Let me use another example to help you understand the point. Suppose a monkey is given a typewriter and a sheet.

Is the probability of getting The Declaration of Independence is as likely as the probability of getting one particular gibberish sequence of characters? Yes.

Should we surprise if the monkey types any proper one-page English essay? Yes.

In case it's not obvious, that's because the number of possible ways to write a proper one-page English essay, albeit humongous, is nothing compared to the number of possible ways to arrange characters in one page. In other words, it's very very very unlikely to happen.

> Should we surprise if the monkey types any proper one-page English essay? Yes.

You can’t exclude non English languages being you would still be surprised if it was in Spanish etc. If your test is if anything surprising happens, then you must consider every possibility that you would find surprising.

Also, this isn’t some mathematically perfect shape it’s a points in a clump that we’re classifying as a shape.

As such a monkey typing someone vaguely like a proper one-page essay in any language or encoding would still be surprising, but is probably 10^1,000 or so times more likely than any specific sequence.

> You can’t exclude non English languages being you would still be surprised if it was in Spanish etc.

I'm not saying that the only surprising result is an English esssay. But sure, let's add all languages in the world. Getting a proper one-page essay is still surprising, because the absurd number of ways to arrange characters in one page. It's much much much larger than even the number of particles in the universe.

> but is probably 10^1,000 or so times more likely than any specific sequence.

Obviously. Your point? If the probability of an event is so low, it doesn't really matter if it's 1 in 10^1000 or 1^1000000. If that event happens, it is surprising.

---

Anyway, I'm not arguing that the galaxy ring is a rare occurrence, hence surprising. I don't know even an approximate probability of it to happen.

I'm arguing against those who shrug and say "Well, it's random, so even a complex structure can form." Not necessarily. It all depends on the processes behind it.

Case in point: Darwin's evolution. The only reason that it's plausible that random processes can transform basic living organisms into complex ones like mammals is DNA replication.

Without DNA replication, random mutations between generations would be independent, just like random key presses by a monkey. You need to start over every time. This makes it essentially impossible to form complex organisms over time, considering how long DNA of complex organisms is.

> But our discussion is not about that. It's about the very basic thing in probabilities, which is some event is not as likely to happen as others. This is so trivially true.

Except that's not a given.

Any equally long random string is as likely as any other equally long random string.

Different length sets of random strings may differ in probability.

Finding what might appear to be meaningful structures in large data sets, e.g. shapes in 2T galaxies, doesn't inherently suggest anymore than chance.

I agree to almost all your points from the previous four comments, and I think so do you to my comments (because you didn't argue against my statements). We differs only on what to discuss.

Before I give up on this discussion that's always back to square one, maybe this question (that I've similarly asked) will help set a baseline:

What are a few examples of probablistic events that should surprise you?

You just don't understand probability, possibility and potential very well. Yes, you can get hung up where you are and we can argue semantics - the fact is that if I throw 1000 dice and get 1000 "1"s that is not the same as my being able to theoretically do that an equal % chance each throw.

The ring may be possible but, so far, it's the only example so despite being a potential random outcome of randomness, the sheer singularity of its existence proves it's incredibly low likelihood of occurrence - perhaps such a low % chance of actually occurring that it may be easier to believe that the ring had help in its formation, whatever that may be.

I'm not going to deny obvious things just bc they challenge my worldview - especially if I have to defend my viewpoint semantically

No: precisely that is the definition of randomness as “lack of information “ or “incompressibility”.

HH is just as compressible as HT or TH or TT.

You can easily build a compression scheme for any one of these values, but not one that encapsulates all values while using less data than the raw values themselves.

>> If you throw 1000 dices, is it possible to get all one? Yes. Is it likely? Not at all.

> That's literally as likely as any other possible outcome.

???

If you want any outcome, they're equally likely.

But the prev post chose a particular outcome, and any particular outcome is rare.

There's no contradiction.

So what's the insight?

This distinction is popularly represented by the "Monty Hall problem": should you take the offer of the other door.

The problem involves 3 doors with a prize behind only one, where you choose 1 of the three, then Monty shows you what's behind 1 of the remaining 2, which is not the prize, then asks you if you would like to switch to the remaining door.

You might think that your odds won't change because nothing behind the doors has changed, or might get worse because the offer is a second chance to pick the dud.

But instead of 3 doors, imagine 1000 doors. You pick 1. Monty shows you what's behind 998 that aren't the prize and asks you if you want to switch.

By switching, your 1-of-1000 odds become 1-of-2.

The particulars matter.

> But instead of 3 doors, imagine 1000 doors. You pick 1. Monty shows you what's behind 998 that aren't the prize and asks you if you want to switch. By switching, your 1-of-1000 odds become 1-of-2.

No they should become 999 out of 1000. If your door is 1 in 1000 then the other door must have all other possibilities.

Also, the Monty haul problem is counter intuitive because it depends on the exact rules under which he operates. Suppose the classic 1 in 3 odds of a win, but an evil Monty haul where he only gives the option if you would win, now swapping is a guaranteed loss. Mathematically the answer is obvious when all the rules are guaranteed, but people’s internal heuristics don’t automatically trust rules as stated.

> But the prev post chose a particular outcome, and any particular outcome is rare.

No, we first observed a particular outcome (the giant ring). This would be like running coin flips for long enough, spotting some interesting sequence that wasn’t decided beforehand, then deciding it must not be random because that sequence should have been incredibly rare.

Sure, that sequence was rare but it was just as likely as all the other sequences which we didn’t end up seeing.

> By switching, your 1-of-1000 odds become 1-of-2.

It's not 50/50. That means you had a 50% chance to get the door correct on the first guess out of 1000. By showing the non-winning doors, the odds collapse into the remaining door. You had a 1/1000 chance of getting it right the first time, after the reveal all 998 are now assigned to the remaining door.

> Why do planets look like a sphere (approximately)? Because that's the most probable shape if things happen randomly.

That has actually nothing to do with randomness, and everything to do with gravity. https://spaceplace.nasa.gov/planets-round/en/

which, to be clear, is the exact point the parent comment is making.

Randomness only favors something over noise if there is a non random process determining the structure

For any allegedly-random distribution, it's possible to statistically determine an upper-limit on the size of non-random-appearing structures. The upper limit for such structures in our universe is thought to be about 370 MPc, about 1/3rd of the size of this ring.

A lot of these questions are much more clearly addressed in the previous paper by the same authors, which is much more layperson-friendly: https://academic.oup.com/mnras/article/516/2/1557/6657809?lo...

I’m guessing the point is something along the lines of, if you have a page of randomly-distributed points, you would expect to see small features but a large circle spanning the page would be inexplicable.

That makes sense, thanks for actually explaining the core idea.

This isn’t how randomness works. Given enough points plotted at random on the surface of a sphere, you’ll find the entire written works of Shakespeare scribed across it.

That doesn’t mean it was put there intentionally, just that given enough random samples any pattern will appear.

> But, random chance can make things look like a structure on this scale.

You can never absolutely prove that something isn’t random. However:

Galaxy distributions are pink noise, not white noise. Large scale structures are less probable.

The Komolgorov complexity of large structures is lower than random noise, and lower Komolgorov complexity usually indicates some non-random process.

A random process is less likely to produce structure than a non-random process.

Actually I do have a plausible mechanism whose numbers have been sanity checked by a couple of cosmologists, but has never been published.

Here's the idea. The expansion of the universe is currently accelerating. If this continues indefinitely, we get the https://en.wikipedia.org/wiki/Big_Rip model. What happens if the Big Rip proceeds to the point where a lot of https://en.wikipedia.org/wiki/Vacuum_energy gets released, and that release stops the Rip by creating the next Big Bang? This could form a cycle since the next Bang creates cosmos that in turn will Rip.

It doesn't sound entirely crazy to me. The Casimir effect shows that you should release vacuum energy when you constrain the volume that a particularly bit of space can interact with. The incredible expansion of a Rip should constrain such interactions. So a large release of vacuum energy seems expected. And who knows how releasing vacuum energy interacts with the acceleration of the expansion of the universe?

Let's do a back of the envelope estimate. Theory estimates vacuum energy at something like 10^113 joules per cubic meter of vacuum energy. For comparison the visible universe is estimated at 10^53 kg. Using Einstein's E = mc^2, that's around 10^70 joules. Current cosmological models say that at the hottest part of the Big Bang, the universe must have already been larger than a cubic meter. Yes, there is a lot of energy not in the form of visible matter. Even so, there's a lot of room for a release of vacuum energy to explain the energy density needed at the beginning of a Big Bang.

We at least pass the most basic sanity check.

This would offer interesting answers to some key cosmological questions.

Current Big Bang models struggle with how a large volume started out very uniform. Inflation has been proposed for this, but it has some problems. But in this model, extreme uniformity over a large volume is predicted. If you add in quantum fluctuations starting the vacuum release, that have spread out before we go from Rip to Bang, then you can also explain arbitrarily large structures in the universe.

This also explains the arrow of time. How could we start off with such low entropy when entropy is always increasing? Well as the universe expands, entropy increases. But volume increases faster. We wind up with a giant universe filled with very low entropy/volume. When a small piece of that forms a new Big Bang, it again starts with very low entropy.

Unfortunately, this involves an insane lack of conservation of energy. But GR provides no easy way to even state what conservation of energy means. At least not outside of limited classes of models. Which this is not one of. So the idea of energy not being conserved at cosmological scales is at least not entirely unprecedented by current theory.

> But if you had 20+ stars arranged in a circle like that ring, no one would think it was a chance projection…

Of course we would? This is absolutely backwards.

A random plot of billions of points will have all sorts of coincidental shapes and clusterings. A uniform field might look more random but would actually demand explanation, as lacking those coincidental clusterings is strong evidence for structure.

And as I understand the topic, the scales involved preclude those galaxies physically interacting and being able to form structure. So they should appear randomly distributed.

Edit: To be clear I’m assuming my own ignorance here. I presume there is a reason this is significant, I just don’t understand it. But arguments like yours aren’t convincing to me because we should expect to see random structure, the same way a series of a billion coin flips is likely to have a giant run of alternating heads and tails.

I'm interested in the part about using quasars to illuminate the galaxies. Are quasars so common that they provide a uniform background to the whole universe? I always thought they were fairly sporadically distributed.

It does not seem very plausible that professional astronomers have twice made this rookie mistake and no-one has noticed yet. Furthermore, if they were just doing what amounts to drawing circles and lines on a map of galaxies, they could have discovered thousands by now!

The rate at which we are collecting data far, far outpaces the speed at which it is being analyzed.

There will almost certainly be more discoveries like this as we continue surveying the cosmos with increasingly sensitive instruments.

Well, yes, but my point is that, if these astronomers are finding circles and other structures without doing basic checks such as distance, they could find thousands right now, using nothing more than a chart of the known galaxies - and even bigger ones than they are reporting here. Thus, it is not plausible that they are omitting these basic checks.

I think of it in terms of degrees of freedom and statistical likelihood. If I throw a bunch of marbles on the floor and a few of them form a interesting shape that is one thing as they can only move on a plane. If I throw them in the air it is less likely to form a circle as now they are free to move in multiple directions and are not constrained to the plane. If 4 of those marbles align that is less likely than 20 of them happening to do so in a recognizable shape. 20 marbles in the air, each one being in just the right place relative to the 19 others in order to look like a circle when they can be in any position in space (vs. limited to a flat plane) is exceedingly unlikely.

Even more unlikely is that an arc appears next to the ring, that would make me start to wonder if something is affecting the marbles I throw into the sky.

Is it less likely even if we can view the marbles in the air from any angle?

But your view is a 2D projection, so you are eliminating that degree of freedom. It's equivalent to forcing them all to fall to the floor. If they form an actual ring in 3D space, that is far less probable.

There is also the multiple-endpoints principle to think about. The likelihood of this particular set of galaxies forming a ring is very low. The chance of some set of galaxies among all the billions in the sky doing this is much higher. Then we notice and cherry-pick only the one interesting data point, we never notice all the mundane ones.

It's always difficult to tell if a popular-science article is really describing something unusual or if it's using selective perception to create the illusion of one. (I have no idea in this case.)

It's unusual, at the very least. Because it's relatively close to us.

> The chance of some set of galaxies among all the billions in the sky doing this is much higher.

Of course in relative terms it's much higher, but it doesn't matter—what matters is the absolute value. 10^-100 is much larger than 10^-10000, but if something with the probability of 10^-100 happens, it's still "astonishing."

The probability of a particular planet has a shape of pyramid is so low. And yes, the probability of finding any planet in the universe that has a shape of pyramid is much higher, but still very low. If one was found, scientists would freak out.

The infinite does not necessarily contain everything. I would be surprised to find an even number in an infinite list of odd numbers. I would be even more surprised to find cantor’s diagonalized number in a list of rational numbers. And yet even more surprised to find Hamlet encoded within Pi.

Structure is still interesting.

In re: the non-causal alignment being even more astonishing - a simple argument to illustrate this is to ask- would you be more amazed if you threw 100 bouncy balls in a room, took a photo and they formed a perfect circle in mid air at that instant from that angle, or if you went and placed the marbles one by one in a perfect circle on the ground and took a photo?

The latter might be more meaningful, but the former is more miraculous - not in a religious sense of course, but just in the sense of the extraordinary unlikelihood of catching such a moment of chance alignment in noise, apophenic divinity, in how it seems to violate the second law, etc etc.

It might be instructive for you to try look up Piero Della Francesca’s method of generating perspective images from a point cloud (from the 14th century no less - he invented 3D face scanning then!) and try a few manual examples to really wrap your head around how difficult it would be for a perfect circle to emerge from a truly random point cloud.

If Pi is normal, which we haven't proven but do suspect to be true, then it contains Hamlet, and indeed the entire works of Shakespeare in chronological order, an infinite number of times. https://en.wikipedia.org/wiki/Normal_number

Of course! But we haven’t been proven it yet. And in any case, knowing something exists is quite different than actually observing it. I know every night in Vegas, so many people will hit my lucky number (7, boring I know) on a roulette wheel that it is a perfectly ordinary event with no significance, and yet I would be ecstatic if it happened to me and would certainly be feeling lucky (and so I don’t gamble!). Even if Pi is indeed normal, it would still certainly be beyond surprising to stumble across the complete works of Shakespeare. In fact, from a cultural point of view, it would be a somewhat earth-shattering event! Imagine the headlines! Maybe not, maybe no one would care. It would certainly be shocking to anyone with half a brain cell, even if they knew it had to be somewhere… to find one such particular region is just so improbable that it would be undeniably… cool?

My point is that structure emerging out of noise, even if by mere coincidence, is still deeply interesting on a human, psychological level. Another commenter described the original paper as astrology, essentially arguing that it is bad science… maybe that is the case, but I think there is still room for some form of… confusion, estrangement, awe? in observing these sorts of phenomenon, even in scientific discourse every now and then. It’s vaguely like a piece of meaningless but none-the-less captivating art emerging out of the complex technological and discursive apparatuses of science.

Well, infinity absolutely would contain everything - there would be Adam's planet that grows Phillips screwdrivers, which is of course absurd but infinity so... universe isn't infinite tho

I don't kno why ppl believe that it is. It's very big, we have no frame of reference bc it literally contains all possible known frames of reference and even with that in mind, we need a bigger thing to grasp how big it is, we won't ever have that perspective.

That doesn't make the universe infinite tho. Even if the universe is expanding at a rate greater than we could ever catch the other galaxies and this expansion limitlessly expands the universe, THAT is still not infinite.

There is no infinite thing bc nothing is infinite for real, it's an idea

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