Well, I was with the article until half was through, it then proceeded to go over my head at a faster and faster rate. So I guess my brain as a huge negative curvature :)
The premise comes off as a bit of a surprise to me. My understanding had always been that physicists have not reached any majority agreement on which of the outcomes was likely, precisely because of the lack of understanding of the exact nature of dark energy.
It's because these people all sit and talk with each other coming up with more high concept sci-fi rigamarole. occasionally, they share whatever they come up with other physicists but it kind of seems like everyone just shrugs and goes back to whatever they were working on.
I have a very different reading of the 60 years of theories and measurements detailed in the article. The results from the article come from a $50M instrument developed in the past 10 years for this exact purpose.
Years it was said that we were going to end up with the Big Crunch. Then in the past decade or two, it was said that we’d end up with a heat death. Now it seems like we’re heading away from that direction.
Naturally, if you were immersed in the actual research, I’m sure the question would have seemed a lot more unsolved than it was presented. But it wasn’t just presented this way by pop science books; even scientists, when talking to laymen, tend to oversimplify things to a degree that they can become misleading. We’ve seen this discussed when it comes to things like string theory and quantum mechanics. Too many times people are saying “this is what happens” when they should be saying “we have no idea, there are a bunch of different theories, but we fundamentally don’t know.”
Whatever happens to the universe, it won’t happen for billions of years. What people think will happen today might not be what they think will happen in ten, a hundred, or a thousand years from now. The research is interesting, but I have to assume that any answer we have now could be completely wrong.
I think there is a very valid argument to be made that what happens in the universe 10^14 years from now is not a valid scientific question. It is really just pseudoscience.
It seems an easy bet to handicap that the chance what we know right now happens to be correct to basically be zero.
There is nothing to agree on. You make measurements, see what model fits best, and then ask the model what will happen as time goes to infinity.
And we did have a consensus: the standard model of cosmology. It fits the data best, that's how it became the standard model. Many cosmologists don't like the standard model, because it has some theoretical deficiencies. One example: The value of the dark energy density seems highly tuned. Its value is unnatural and there is no known mechanism that could produce such a finely tuned parameter. But what can you do if all observations agree with the standard model?
I've been in cosmology grad school ten years ago and would listen to a visiting scientist presenting a novel model that might explain the standard model's shortcomings practically once a week. There is no shortage of speculative models. And as I said, science doesn't work by finding an agreement. You devise experiments that can show that your model explains more than the standard model and let nature find the agreement for you. If there are a few stubborn scientists left that cling to ruled out ideas (Fred Hoyle comes to mind), experience shows that they will die out over time.
Euclid is one such experiment my group studied a lot, and it's finally collecting data. Hopefully it helps us find a better model than the standard model, and with all the news in the past few years, it's looking good.
It seems wrong-headed that even the hint of a Creator requires turning theories into pretzels to remove that hint even when it's not proof.
The "problem" of fine-tuning isn't really a problem. Why that value? We just don't know yet. Maybe God set it. Maybe we're part of an infinitely large cosmos where our false vacuum has these parameters, and others don't (statistical multiverse / baby universe models). We just don't know, and sometimes it's enough to know that we don't know.
> Maybe we're part of an infinitely large cosmos where our false vacuum has these parameters, and others don't (statistical multiverse / baby universe models).
You'd be in good company with that approach.
Ironically, it becomes easier to explain if dark energy wasn't constant (see: TFA), because then you can make an anthropic argument, that only this part of the universe leads to complex structure and thus life. But for that you have study alternative models which might just be right.
>We just don't know, and sometimes it's enough to know that we don't know.
That is a very anti-science take that I find problematic. Curiosity is a very human trait and has been proven to be fruitful.
Heh... Yeah, I'm against the "shut up and calculate" mentality of the Copenhagen Interpretation.
Perhaps it's a problem with the science communication and less with the scientific community, but it seems like an often cited impetus for the science is supposed to be this overweening need to eliminate a negative association instead of to explain or satisfy curiosity.
I made no argument in favor of the creator hypothesis. I'm making an argument against fearing it. The creator hypothesis will take care of itself if we just attend to the science and not to "taste."
I'm fairly sure the creator hypothesis has been taken care of by science already. There's very few things less "sciency" than giving up and declaring a mysterious creator. The problem is you can invoke the creator at any point you wish, and it doesn't explain anything. Can't make any useful predictions based on assuming a creator.
TL;DR: the Big Rip is likely not to be the fate of the Universe as dark energy term in lambda-CDM cosmology is not a constant but weakens as time moves forward. Seems like Heat Death or Big Crunch options are back on the menu!
I think your summary misses the mark. The Big Rip was not the most likely outcome before this new evidence. Heat Death has been the expectation/assumption.
TL;DR of TFA: New evidence shows that dark energy may be weakening over time instead of staying constant, which could lead to a Big Crunch. We're eagerly awaiting further evidence.
I think that's a slightly incorrect TL;DR. Here's an updated version based on my reading:
TL;DR: a heat death (Big Freeze) due to eternal acceleration was the previously favored candidate for the fate of the universe; but there's now evidence that dark energy varies, so acceleration may not be eternal; we may still get a Big Freeze (if it stop varying soon) or we may get a Big Crunch (if it keeps going far enough in the direction it has been going) or we may get a Big Rip (if it starts going in the opposite direction that it has been going)
In the standard model, i.e. constant dark energy, the universe ends in heat death. Big Crunch or Big Rip were never off the menu in the sense that our measurements couldn't exclude a value of w!=-1. But it's a critical value, you'll never be able to exclude the other scenarios if it's truly -1, because you always have a positive measurement uncertainty.
The standard model is the standard model because it fits the data best. This can change as measurements become more precise.
Now new data hints at the standard model being incorrect (to the surprise of basically no one in cosmology), making a big crunch more likely, but still not strongly ruling out the other scenarios.
This kind of research is non-falsifiable and I think it's just a waste of these scientists' talents. You will hear never-ending theories of the Big Bang, black holes, and the end of the universe because all this research is non-falsifiable and just people playing with math and coming up with different ideas that humans find interesting, but will not affect your quality of life at all.
Science has to be falsifiable or else it's just a new type of faith.
This kind of reserach, which comes with new ideas which better explain our observations, helps balance exactly the blind faith in religion.
People will always ask "where everything came from" questions. And if there is no science with plausible big-bang => background radiation... theories, you can just as easily return back to creationism.
Not sure about whether it's falsifiable or not, but maybe it can affect quality of life?
I mean, imagine we do find the answer to a cause of the big bang or the fate of the end of the universe, there might as well be some knowledge in there that allows new kinds of engineering that can be useful for daily life
E.g. (silly example): understanding how to create a big bang might allow creating an entire universe from scratch with minimal compute resources, in which we can then game
No one is claiming that their speculative models and hypotheses are "truth". Before sufficient evidence is available, you start with a model and a hypothesis, which drives the search for evidence. Then it becomes falsifiable once you gather the evidence. I think you may have missed the explanation of science where the first step is to create a guess and that drives your experiments.
As far as "not affecting your quality of life at all", people have been saying this about cutting edge science since forever. "Time can't be relative, it's just scientists playing with math. Besides, we'll never travel fast enough for it to matter and it doesn't affect our lives anyway." Yet time dilation is an important factor in your daily life if you ever used GPS.
> just people playing with math and coming up with different ideas that humans find interesting, but will not affect your quality of life at all
A lot of people like to pursue knowledge purely out of curiosity. Some people even think that having a good quality of life means that there is room for these sorts of conversations!
I don't know, there's many "useless" things done that at a later date have been found to be beneficial in areas not intended be the original experimenter.
I kinda agree about researching the end of the Universe, but the birth of the Universe and black holes a pretty relevant to modern day science. We don't have a theory of quantum gravity, we have a singularity at the big-bang, etc.
Finding a theory of everything could unlock many new practical improvements. Falsifiability not only happens when you can disprove something with a physical experiment. You can't trigger another big-bang, but with a better model, you can falsify the currently accepted theory because it makes a prediction.
Thinking about the end of the universe is not that pointless though. It's tending towards philosophy, which could make people think what's our role in the world, can we at some point exist again, I think the list is long.
> I kinda agree about researching the end of the Universe,
It's a fallacy to believe that people are specifically researching the end of the Universe. We research models. The standard model for example is parameterized by six numbers. You measure those six numbers, put them in the model, and the model will tell you how old the universe is and what will happen in the far future.
If it turns out that different probes yield incompatible sets of values for those six numbers, for example probes from the early universe vs more current probes (e.g. the cosmic microwave background vs super novae data), then the model must be wrong. Then we might look for another model, perhaps one with seven parameters, where the additional parameter characterizes the evolution of dark energy, which assumed to be constant until now, and see if that fits better. And what do you know, that model might yield a different result for the age of the universe and its fate.
It's a consequence of fundamental research, not a primary goal in itself.
Why would the big bang and black holes be non-falsifiable? You can observe them.
Even "the end of the universe", just because something is in the future doesn't mean you can't make scientific predictions about it based in your understanding of physics.
This kind of research is definitely falsifiable. If you read the article you'd see tons of graphs that are the result of actual direct measurement of phenomena. These measurements are used to rule out some of the theories, and conform to other theories. Astrophysicists make predictions and run experiments all the time. The same is true for black hole theories.
With such general assertions, you really have to be careful not to end up looking like the one who is being taken in by faith. Science is not about quality of life, but about gaining knowledge. Not all scientific knowledge is based on falsifiability. Science does not float in an empty space but has a foundation that is not itself science.
Technically, by this logic, isn't estimating when a bridge or building will collapse also non-falsifiable? Because it is in the future? But we do use math plus current understandings to make predictions.
Do you mean that we will not be able to witness the fate of the Universe? But this very article shows the case when the theory about a Universe fate was falsified or at least came close to it. If a theory is making predictions, and one can check them, then it is a falsifiable theory. Simple models of Universe make predictions, like "you will get the same rate of an expansion however you measure it", and oops... different methods give different results.
I believe you are confusing a falsifiable theory and pragmatic knowledge. We are really cannot predict any practical applications for these kind of theories. So they are not pragmatic. But they are falsifiable.
Matter cools when universe expands. Where does that energy go to? I would expect that delta E = delta V (with some clear way to represent volume in Joules).
More precisely, the energy density of matter decreases as the universe expands.
> Where does that energy go to?
Stress-energy density is locally conserved; there is no energy being created or destroyed. In fact that local conservation of stress-energy density is what requires the energy density of matter (which in cosmology-speak means a perfect fluid with zero pressure) to decrease as the universe expands (as the cube of the scale factor).
> Shouldn't dark energy density also fall?
No, because dark energy, considered as a stress-energy density, includes negative pressure equal to minus the energy density, and the same local conservation of stress-energy density I referred to above requires that in this case, the energy density is constant in both space and time.
Note that the new findings described in the article amount to raising the possibility that what we thought was "dark energy", i.e., a cosmological constant with pressure exactly equal to minus the energy density (that is what w = -1, mentioned in the article, means), is in fact something else whose equation of state (relationship between pressure and energy density) can change over time, with pressure becoming less negative (w less negative than -1). If that is the case, the energy density would also be decreasing over time, though much more slowly than for ordinary matter.
> In fact that local conservation of stress-energy density is what requires the energy density of matter (which in cosmology-speak means a perfect fluid with zero pressure) to decrease as the universe expands (as the cube of the scale factor).
That makes total sense!
Does this meak we know how much the total density of matter has to decrease in order for universe to expand one cubic meter? What's the energy equivalent of one new cubic meter of space, in Joules? Do we know that? Does it fit the observed matter density, with and without dark matter?
It looks to me that "dark energy" / cosmological constant is just a measure of preference for matter+volume (or at least energy+volume) to take the form of volume rather than matter, in an otherwise conserving process.
> Does this meak we know how much the total density of matter has to decrease in order for universe to expand one cubic meter?
It doesn't work that way. Remember that GR is a theory of spacetime geometry. When we say "the universe is expanding", that's really shorthand for "the spacetime geometry of the universe has a particular shape". It doesn't mean that the universe "adds cubic meters" over time.
There is certainly a relationship between the density of matter (or more generally stress-energy density) and the geometric property that informally we refer to as "the rate of expansion of the universe". The equations that express that relationship are the Friedmann equations, which are just the Einstein Field Equation, the central equation of GR, specialized to the kind of spacetime geometry that "expanding universe" refers to. But it's not really useful to think of those relationships as saying that if the matter density decreases by this much, it makes the universe expand that much.
> It looks to me that "dark energy" / cosmological constant is just a measure of preference for matter+volume (or at least energy+volume) to take the form of volume rather than matter, in an otherwise conserving process.
No, that's not a good way to look at it.
A cosmological constant aka dark energy is best thought of as just an unusual form of perfect fluid whose pressure is minus its energy density. Then you just plug that into the Friedmann equations to get predictions for what we should expect to observe, such as "accelerating expansion".
I don't agree with you. Between us and a redshifted galaxy, for a specific cross-section "tube", there is a dV/dt of new space and a -dE/dt of energy from the redshift. It is possible to calculate both so at least the circumstantial "cubic metres for joules" metric is possible, and interesting. But it seems I'm not geting it out of this discussion.
You were talking about stress-energy tensor, and it did sound like density decrease is linked to the volume increase in a mathematical sense so that conservation happens. Now you say they are not related in that way. If the density decrease is not linked to the volume increase then you have to explain where that extra energy went.
"perfect fluid whose pressure is minus its energy density" does not make sense because you said it is expanding but keeping the same density. If a fluid is expanding but not becoming less dense, it wasn't a fluid in the first place.
Unfortunately what I can see is lack of understanding the mechanism and being able to productively reason about that, and stress-energy tensor is sufficiently complicated abstraction that one no longer feels the discomfort of not understanding.
Then you are disagreeing with our best current physical model of our universe, which does not say what you are saying.
> I'm not geting it out of this discussion.
You should be aware that General Relativity and modern cosmology are complex subjects, and cannot be understood all at once in the course of an Internet discussion. Do you know how long it took me to properly understand the model that I am giving you a very quick and abbreviated description of? Several decades. So if you're expecting a quick "sound bite" answer that will make sense to you, and you have no background whatever in those subjects, of course you are not going to get what you are looking for. I can't help that. All I can tell you is what our best current models say.
> You were talking about stress-energy tensor, and it did sound like density decrease is linked to the volume increase in a mathematical sense so that conservation happens. Now you say they are not related in that way.
No, that's not what I'm saying. What I'm saying is that the relationship is not a causal relationship, in which the density decrease causes the volume increase. It is just a relationship that is enforced by the overall relationship between the spacetime geometry and the stress-energy tensor. The general form of that relationship is the Einstein Field Equation, and the particular form that applies to our best current model of the universe is the Friedmann equations. Those equations most definitely do give a relationship between density decrease for matter and what you are calling "volume increase"--more precisely the rate of "volume increase" (but the term cosmologists actually use is "scale factor" and "rate of increase of the scale factor"), and that relationship most definitely does include a local conservation law for stress-energy. I apologize if that wasn't clear.
> "perfect fluid whose pressure is minus its energy density" does not make sense because you said it is expanding but keeping the same density. If a fluid is expanding but not becoming less dense, it wasn't a fluid in the first place.
I'm using "perfect fluid" here as a technical term for a particular form of the stress-energy tensor, where the only two things you need to specify are energy density and pressure. Terms like "matter" and "dark energy" are then just names for particular equations of state, i.e., particular relationships between energy density and pressure. "Matter" means pressure is zero. "Dark energy" means pressure is minus energy density. That is standard usage among cosmologists.
As for why the dark energy density stays the same as the universe expands, that's what the Friedmann equations say when pressure is minus energy density. If you don't like the term "perfect fluid" to describe such a thing, that's fine, call it something else if you like. (But don't expect cosmologists to go along with you.) The important point is the physics, not the words we use to describe it. The physics is what I said. You can check it for yourself if you like by looking up the Friedmann equations.
> what I can see is lack of understanding the mechanism
What I can see, and I can't avoid saying this bluntly, is someone who has no background in physics but still presumes to tell someone who does have such a background what they do and do not understand. Sorry, but you, and again I can't avoid saying this bluntly, simply don't know what you are talking about. I do know what I am talking about. I'm sorry that I can't convey what I know to you in a quick sound bite that will make sense to you, but that's beyond human powers. There's a reason that people spend years or decades studying these subjects, and there's...
> What I'm saying is that the relationship is not a causal relationship, in which the density decrease causes the volume increase. It is just a relationship that is enforced by the overall relationship between the spacetime geometry and the stress-energy tensor.
I'm not even sure why focus on casuality of the event. I'm more interested in whether that stress-energy tensor is a tool which lets us reason about any interesting info, such as:
Can we imagine a noticeable area of space suddently becoming empty and devoid of matter - would it cause the inflation, as in elongation of paths between ourselves and some distant object with this area between us, to become faster? Slower? Just about the same?
When you talk about a "local conservation law", do you mean that there's math which makes the energy difference go away, and then inflation goes at the same rate regardless of whether energy-losing matter (such as light) is present in the expanding area or not? Because that just does not sound satisfactory.
Imagine driving over a $100 bill lying on the ground and once you've past it the bill is gone. You can reason that the bill wasn't significantly thick, and when you drove over it you created some tension and a measurable local depression, but once you went past the ground returned to the same level as it were. That is indeed true and scientifically sound. But where's that money now? That is a question that needs some answer.
Maybe it's now stuck to your wheel, maybe it's under a film of dust now, or somebody have pocketed it. But there has to be some answer.
> I'm not even sure why focus on casuality of the event.
Because your original question made it seem like you were thinking of the density decrease caused the volume increase. If you understand that that's not how it works, that's good.
> Can we imagine a noticeable area of space suddently becoming empty and devoid of matter
Note that this can't happen except by matter flowing out of the area. The matter can't just disappear. That is what the local conservation law for stress-energy says.
> would it cause the inflation, as in elongation of paths between ourselves and some distant object with this area between us, to become faster? Slower? Just about the same?
As I understand it, cosmologists are working on models in which the density of matter does vary from place to place as well as with time (although even phrasing it that way introduces technical issues that I won't go into here), because our observations seem to indicate that, for example, there is a "void" a billion light-years or more wide in our general vicinity, where the density is significantly lower. Note that this only applies to ordinary matter, not dark energy.
The general indications so far of those models, from what I understand, is that such "voids" result in a faster expansion in that area (though again I am ignoring significant technical issues with how this is phrased). However, this is still an open area of research, and the models become significantly more difficult to work with because you can't solve the equations analytically any more, the way you can when the density is constant everywhere in space. You have to do numerical simulations.
> When you talk about a "local conservation law", do you mean that there's math which makes the energy difference go away, and then inflation goes at the same rate regardless of whether energy-losing matter (such as light) is present in the expanding area or not?
I'm not sure what this means.
What the local conservation law says is that stress-energy cannot be created or destroyed; it can change form (for example, matter can transfer some of its stress-energy to radiation by emitting it), and it can flow between regions of spacetime, but the flow cannot have any sources or sinks. The complication is that the "flow" has to take into account the spacetime geometry, which affects how you "count" the flow. For example, if we consider an expanding universe containing just ordinary matter, the energy density decreases like the cube of the scale factor, but that is not a violation of the local conservation law, it's because of the local conservation law--the spacetime geometry is changing as well as the energy density, and the combination of the two changes keeps the local conservation law satisfied--in terms of the local conservation law, the "flow" is conserved, there are no sources or sinks, even though the energy density is changing.
This is one of those things that's really, really hard to explain in ordinary language. The mathematical statement is that the covariant divergence of the stress-energy tensor is zero. Physicists understand what that means and how to use it even if they can't express it very compactly in ordinary language.
That's exactly what I've feared. You just spent writing a full page of text how it takes several decades to understand the theory, then I ask a simplest of questions about it, one that any bright primary schooler will come up - and the understanding immediately implodes on itself because the answer is simply not there. All of these decades of studying led to a model that barely supports itself but cannot hold even lightest useful load.
Imagine how a person will study mechanical springs for several decades, then you ask them what happens if you add some load to the spring currently hanging idle, only to hear that it's an "open area of research". But it would probably go up. Something surely would.
I understand the idea of local conservation. Imagine an empty region of space where there's just light, and neutrinos, and some dust. Some time passed and some of that light (and neutrinos) lost energy due to red shift. Where did that energy went, stress-tensor or not? Where's the $100? Whose pocket does it line? What I'm hearing from you is "it can't go nowhere so it went somewhere" but that's not good enough. I suspected that already.
It can be that it's the same $100, they just worth much less than when they were printed because of all the other money which were in circulation between then and now. But that still needs to be described to the point.
> I ask a simplest of questions about it, one that any bright primary schooler will come up - and the understanding immediately implodes on itself because the answer is simply not there.
No, the answer is there, but it's not simple. Again, you want a quick sound bite: yes or no to your question. And reality is not like that. Reality is not simple sound bites. Reality is complicated and it takes work to figure out what is really going on. That's why it takes years or decades to get a real understanding of any useful model of reality on the scale of the universe. That's why it takes years or decades to do research to expand the boundaries of our knowledge. You want me to just bypass all that and give you a simple answer. Sorry, no. There isn't one. That's not because scientists are stupid or because our models don't work. It's because you don't want to accept the actual cost of understanding them.
> Imagine how a person will study mechanical springs for several decades
But nobody does that. Physics students learn a simple model of how mechanical springs work in a lecture or two. Mechanical engineers learn more detailed models that work for things like designing car suspensions in maybe a semester. People might certainly work with mechanical springs for decades, but they won't spend that whole time just getting an understanding of our best current model of them. They will spend most of that time using the model that that already understand.
But the whole universe is not a mechanical spring. And learning our best current model of the whole universe is a lot harder than learning our best current model of a mechanical spring. So you are simply being unrealistic if you expect someone to explain the whole universe to you with the same amount of effort it would take to explain a mechanical spring.
> I understand the idea of local conservation.
No, you don't. You may think you do, but if you did, you would not even have to ask:
> Imagine an empty region of space where there's just light, and neutrinos, and some dust. Some time passed and some of that light (and neutrinos) lost energy due to red shift. Where did that energy went, stress-tensor or not?
Local conservation says no stress-energy went anywhere. The redshift due to the universe's expansion does not lose any stress-energy. Stress-energy is conserved.
A better question would be, if stress-energy is locally conserved, why is there a redshift as the universe expands? And the answer to that is that the local conservation law does not say the energy density stays the same. It says that stress-energy is not created or destroyed. But "stress-energy" is not the same as energy density. The density of stress-energy, for matter (or radiation, since you asked about light) is the same with the scale factor slightly smaller and the energy density slightly higher, as with the scale factor slightly larger and the energy density slightly smaller. That's what the equations tell us. (For dark energy, as I've said, they tell us that the energy density does stay the same as the universe expands. But that's only true for dark energy.) All of these statements are consequences of the Friedmann equations, or, if you want to look at it that way, of the relationship that is enforced by those equations between stress-energy and spacetime geometry.
That's about the best I can do at describing what the equations say in ordinary language. There's a reason why physicists do physics with math: because math is a much better tool for the job. I've already told you what math to look up if you want more information.
> The density of stress-energy, for matter (or radiation, since you asked about light) is the same with the scale factor slightly smaller and the energy density slightly higher, as with the scale factor slightly larger and the energy density slightly smaller.
So you are saying, there is a semi-reversible process where energy and volume are correlated? That's what I've started with.
Should there actually be some specific amount of energy in place in order this density-to-scale transmutation to happen? What kinds of energy participate in it in our real world scenario? Does it depend on the specific local density (though I've already asked that)?
> So you are saying, there is a semi-reversible process where energy and volume are correlated?
My original objection was to you thinking of it as a "process", or at least a process involving energy and volume. It's a relationship between stress-energy and spacetime geometry.
> Should there actually be some specific amount of energy in place in order this density-to-scale transmutation to happen?
There is no such "transmutation". That's not what's going on. Your questions aren't answerable because they are based on false premises.
At this point I've done my best to explain what is and isn't going on. All I can do is recommend reading more detailed treatments, which you can find in any cosmology textbook, or in briefer form in most GR textbooks. Sean Carroll's lecture notes on GR are available for free online [1], and Chapter 8 discusses the basics of our best current model of the universe in cosmology.
At this point why not interact with an LLM to get a better base understanding? Disagreeing with someone more knowledgable whose answers you can't properly grok isn't a great way to learn, surely?
I would not advise trying to learn physics (or any subject, for that matter) from an LLM. They will confabulate confident sounding nonsense just as easily as they will give you reasonable information--and if you don't already know the subject, you won't be able to tell the difference.
When I hear debates about whether or not the universes are black holes nested inside each other, or what the fate of the cosmos is, I often have an instinctive reaction to question whether or not concepts like "inside", "nested", or "fate" have actual fundamental qualities at the scales and timeframes under discussion.
Not quite. I don't ascribe completely to the notion that we can't figure stuff out. But we do need to be careful about assuming that things like 3d topology (aka "inside", "outside", when the mathematical spaces we're looking might have no equivalent concept), cause/effect -- or even the spatial dimensions themselves -- are fundamental. Particularly when we're talking about black holes. It's hard, because our brains are optimized to deal with this very specific slice of spacetime we've evolved in, so we keep falling back into the trap of our words.
The thing is, I'm not sure how much an actor emerging from a system can learn about the system. Not saying we can't, 'cause I don't know, nobody does. It's just intriguing in it's own way.
We may not be able to probe the system directly, but we can take guesses at some of its properties using a powerful tool: logic.
For instance, if it is true that something cannot come out of nothing (ex nihilo nihil fit), and its clearly true that something exists (cogito, ergo sum), then it must be the case that whatever base reality is, it must have always existed. This base reality could be god or some base physical laws or something else, but unless someone can show that the premise is incorrect, we can surmise the eternal nature of reality.
While I see your point from my human perspective, what we call logic is directly dependent on the product of the system it emerges from, meaning our brains are inherently limited, hence cannot be trusted. Cogito, ergo sum is a meaningless statement in this context. Take quantum mechanics for example. Makes all our logic go away.
> our brains are inherently limited, hence cannot be trusted.
Yeah I agree with this in general. When it comes to logic though, it is hard to see how for instance the law of the excluded middle could be wrong. But then that may be just the limited brain talking :)
> Cogito, ergo sum is a meaningless statement in this context.
Not sure how. The fact that I exist is irrefutable. Everything else could be just a dream, say if base reality is that I'm a brain-in-a-vat, but my own experience says that I exist, and no one can deny that, not even God.
> Take quantum mechanics for example. Makes all our logic go away.
That doesn't sound like the right way to think. QM, and science in general, is based on observations, and those are always subject to revision. Tomorrow, all laws of physics could flip, making all our current science moot. The only role of logic here is to make sure that our techniques and conclusions are consistent and not affected by the arbitrary whims of human thoughts and desires. Logic actually helps humans go beyond the biological limitations.
We invented the concept of right and wrong, for a reason. Or true and false, same thing. It's useful. The experience of my own existence - and the assumed irrefutability of it - is based on features beyond my control. How do I make my heart beat? No idea. I just do. Is logic itself, like science, not based on observations? Anyway, nice conversation!
> We invented the concept of right and wrong, for a reason. Or true and false, same thing.
Ah morally that's correct. But in general, such thinking is giving up too much.
Capital T Truth exists irrespective of humans, no? For instance, Quantum Mechanics was True before it was discovered, and would have remained True whether or not there were ever any humans to investigate it. The same for whatever base reality is.
> The experience of my own existence - and the assumed irrefutability of it - is based on features beyond my control. How do I make my heart beat?
The way we experience it, sure. The fact that we experience something, be it a true reality or an illusion in a matrix, is irrefutable. That's exactly "what cogito, ergo sum" [0] is talking about. In fact, thinking along these lines is what led Descartes to come up with this principle. In a world of uncertainty where we cannot even trust our own senses, how can we arrive at any Truth? And he realized: everything else we think and experience could be false, but the fact that I am something that is able to think and exist is itself a truth that no one can take away! It's history is pretty interesting.
Some of the most beautiful moments in science - for me, anyway - come about when there's a refresh on perspective. You'll have something like the ptolemaic system, or phlogiston, or the luminiferous ether, and a tiny push in perception reveals a bigger picture, a deeper understanding.
That push is often subtle, but incontrovertible.
Modern cosmology really feels like it's on the cusp of something like that today - perhaps in how spatial dimensions emerge, or some other thing - underlying our more stolid mental models.
To explain how that relates to your point re: stages. The stage of our perception isn't stable. When we started voyaging on ships, that changed it. We went to orbit, whew boy. Today, maybe our terminally-online presence is changing our notions of distance and "here-ness". These sorts of changes can often be a trigger when it comes to these perceptual shifts, as people grow up with a somewhat larger universe than their great grandsires.
It's approximations based on measured observations all the way down.
Keep in mind, we cannot explain what matter and energy are. We measure and work in terms of waves. What is "waving?" We literally do not know.
The thing is NOT the wave. Period. But everywhere we look we detect that literally everything is vibrating/oscillating/waving. Each improved microscope/observation/meaurement reveals space and some type of vibration.
However, we rely on the observed, measured properties to do things. Generate (harness) and use electricity and perform (encourage) chemical transitions and combinations, for instance. We have a significant well of practical knowledge.
But the nature of existence and the grand cosmological scheme? Probably not going to crack that. It's very fun to try and you learn practical things along the way, though.
Five fish in a bowl. They argue about the fate of the bowl. Careless person vacuuming hits bowl. One fish survives. All get flushed down the toilet. It then ponders if this is the so called afterlife. Unclear. It does have to watch out for gators.
"What’s reality? I don’t know. When my bird was looking at my computer monitor I thought, ‘That bird has no idea what he’s looking at.’ And yet what does the bird do? Does he panic? No, he can’t really panic, he just does the best he can. Is he able to live in a world where he’s so ignorant? Well, he doesn’t really have a choice. The bird is okay even though he doesn’t understand the world. You’re that bird looking at the monitor, and you’re thinking to yourself, ‘I can figure this out.’ Maybe you have some bird ideas. Maybe that’s the best you can do."
What would the dark energy value weakening do to something like Penrose's Conformal Cyclic Cosmology? Seems like it should falsify that idea, as C3 depended on a point where there was nothing left but photons that could never meet causing the end of time and a boundary for another big bang. (If my impression is correct.)
I always thought C3 was strange since each cycle expands greatly in space. The size of any new cycle is vastly bigger, making C3 insensible to me.
Anyhow, the absence of strong dark energy makes things very easy for Penrose for the general concept of a cyclical universe. If gravity wins against dark energy, then a big crunch is easy, following which a new cycle starts. If instead gravity stays balanced with dark energy, then black holes slowly evaporate into photons anyway, preserving C3.
1. When they say "70% of the universe is made up of dark energy, the rest is matter and dark matter", in what sense is the universe "made up" of those things? Or, perhaps, what is the "universe" that is made up of those things? If dark energy is this cosmological constant, in what sense does it "make up" 70% of the universe?
2. If the value of w is changing, and w is this cosmological constant that is dark energy (I'm probably not using the right words here), and dark energy is part of what makes up the sum total of the universe, did the decrease in dark energy go somewhere? Did it show up as an increase of something else? If so, what?
3. If w is changing over time, even if very slowly, should we suspect that other things might also be changing? The speed of light? The fine structure constant? For that matter, if w changes, does that require something else to change as a cause?
4. How did w change? Was it a step function, a corner (discontinuous first derivative), or a smooth change? Is it now constant, or is it continuing to decrease? (Yeah, I know - we just discovered this at all, I'm almost certainly asking for more precision than we have data for yet...)
1. It's the energy content. The stuff you can see (baryonic matter) is 5%, dark matter is 25%, the rest is dark energy. Technically you should take radiation into account, but this is negligible in today's universe. The types of energy can be characterized by how it changes as the universe expanda. If it becomes larger by a factor of a, matter density goes down as a^3, radiation density goes down as a^4 and dark energy density stays constant. Energy is not conserved in an expanding universe, so don't worry about that.
2. W is not the cosmological constant, but a related parameter. It does not go anywhere, the density just changes.
3. These things are unrelated. We do look for changes in these constants either way as good as we can, because imagine the excitement! But so far they all look very constant.
4. No one knows. It's probably always been close to -1, or else the universe would look very different, but you can play around with all kinds of time parameterization of w. The math gets complex very quickly, so the most common parameterization is a linearization. Simply measuring that is a challenge, so measuring this quantity in a model independent way is extremely difficult.
83 comments
[ 2.9 ms ] story [ 149 ms ] threadNaturally, if you were immersed in the actual research, I’m sure the question would have seemed a lot more unsolved than it was presented. But it wasn’t just presented this way by pop science books; even scientists, when talking to laymen, tend to oversimplify things to a degree that they can become misleading. We’ve seen this discussed when it comes to things like string theory and quantum mechanics. Too many times people are saying “this is what happens” when they should be saying “we have no idea, there are a bunch of different theories, but we fundamentally don’t know.”
Whatever happens to the universe, it won’t happen for billions of years. What people think will happen today might not be what they think will happen in ten, a hundred, or a thousand years from now. The research is interesting, but I have to assume that any answer we have now could be completely wrong.
It seems an easy bet to handicap that the chance what we know right now happens to be correct to basically be zero.
And we did have a consensus: the standard model of cosmology. It fits the data best, that's how it became the standard model. Many cosmologists don't like the standard model, because it has some theoretical deficiencies. One example: The value of the dark energy density seems highly tuned. Its value is unnatural and there is no known mechanism that could produce such a finely tuned parameter. But what can you do if all observations agree with the standard model?
I've been in cosmology grad school ten years ago and would listen to a visiting scientist presenting a novel model that might explain the standard model's shortcomings practically once a week. There is no shortage of speculative models. And as I said, science doesn't work by finding an agreement. You devise experiments that can show that your model explains more than the standard model and let nature find the agreement for you. If there are a few stubborn scientists left that cling to ruled out ideas (Fred Hoyle comes to mind), experience shows that they will die out over time.
Euclid is one such experiment my group studied a lot, and it's finally collecting data. Hopefully it helps us find a better model than the standard model, and with all the news in the past few years, it's looking good.
The "problem" of fine-tuning isn't really a problem. Why that value? We just don't know yet. Maybe God set it. Maybe we're part of an infinitely large cosmos where our false vacuum has these parameters, and others don't (statistical multiverse / baby universe models). We just don't know, and sometimes it's enough to know that we don't know.
You'd be in good company with that approach.
Ironically, it becomes easier to explain if dark energy wasn't constant (see: TFA), because then you can make an anthropic argument, that only this part of the universe leads to complex structure and thus life. But for that you have study alternative models which might just be right.
>We just don't know, and sometimes it's enough to know that we don't know.
That is a very anti-science take that I find problematic. Curiosity is a very human trait and has been proven to be fruitful.
Perhaps it's a problem with the science communication and less with the scientific community, but it seems like an often cited impetus for the science is supposed to be this overweening need to eliminate a negative association instead of to explain or satisfy curiosity.
TL;DR of TFA: New evidence shows that dark energy may be weakening over time instead of staying constant, which could lead to a Big Crunch. We're eagerly awaiting further evidence.
TL;DR: a heat death (Big Freeze) due to eternal acceleration was the previously favored candidate for the fate of the universe; but there's now evidence that dark energy varies, so acceleration may not be eternal; we may still get a Big Freeze (if it stop varying soon) or we may get a Big Crunch (if it keeps going far enough in the direction it has been going) or we may get a Big Rip (if it starts going in the opposite direction that it has been going)
In the standard model, i.e. constant dark energy, the universe ends in heat death. Big Crunch or Big Rip were never off the menu in the sense that our measurements couldn't exclude a value of w!=-1. But it's a critical value, you'll never be able to exclude the other scenarios if it's truly -1, because you always have a positive measurement uncertainty.
The standard model is the standard model because it fits the data best. This can change as measurements become more precise. Now new data hints at the standard model being incorrect (to the surprise of basically no one in cosmology), making a big crunch more likely, but still not strongly ruling out the other scenarios.
Science has to be falsifiable or else it's just a new type of faith.
People will always ask "where everything came from" questions. And if there is no science with plausible big-bang => background radiation... theories, you can just as easily return back to creationism.
I mean, imagine we do find the answer to a cause of the big bang or the fate of the end of the universe, there might as well be some knowledge in there that allows new kinds of engineering that can be useful for daily life
E.g. (silly example): understanding how to create a big bang might allow creating an entire universe from scratch with minimal compute resources, in which we can then game
As far as "not affecting your quality of life at all", people have been saying this about cutting edge science since forever. "Time can't be relative, it's just scientists playing with math. Besides, we'll never travel fast enough for it to matter and it doesn't affect our lives anyway." Yet time dilation is an important factor in your daily life if you ever used GPS.
A lot of people like to pursue knowledge purely out of curiosity. Some people even think that having a good quality of life means that there is room for these sorts of conversations!
Finding a theory of everything could unlock many new practical improvements. Falsifiability not only happens when you can disprove something with a physical experiment. You can't trigger another big-bang, but with a better model, you can falsify the currently accepted theory because it makes a prediction.
Thinking about the end of the universe is not that pointless though. It's tending towards philosophy, which could make people think what's our role in the world, can we at some point exist again, I think the list is long.
It's a fallacy to believe that people are specifically researching the end of the Universe. We research models. The standard model for example is parameterized by six numbers. You measure those six numbers, put them in the model, and the model will tell you how old the universe is and what will happen in the far future.
If it turns out that different probes yield incompatible sets of values for those six numbers, for example probes from the early universe vs more current probes (e.g. the cosmic microwave background vs super novae data), then the model must be wrong. Then we might look for another model, perhaps one with seven parameters, where the additional parameter characterizes the evolution of dark energy, which assumed to be constant until now, and see if that fits better. And what do you know, that model might yield a different result for the age of the universe and its fate.
It's a consequence of fundamental research, not a primary goal in itself.
Sometimes “useless” facts, theories and discoveries become useful. Like say Boolean algebra.
Even "the end of the universe", just because something is in the future doesn't mean you can't make scientific predictions about it based in your understanding of physics.
Do you mean that we will not be able to witness the fate of the Universe? But this very article shows the case when the theory about a Universe fate was falsified or at least came close to it. If a theory is making predictions, and one can check them, then it is a falsifiable theory. Simple models of Universe make predictions, like "you will get the same rate of an expansion however you measure it", and oops... different methods give different results.
I believe you are confusing a falsifiable theory and pragmatic knowledge. We are really cannot predict any practical applications for these kind of theories. So they are not pragmatic. But they are falsifiable.
Shouldn't dark energy density also fall?
More precisely, the energy density of matter decreases as the universe expands.
> Where does that energy go to?
Stress-energy density is locally conserved; there is no energy being created or destroyed. In fact that local conservation of stress-energy density is what requires the energy density of matter (which in cosmology-speak means a perfect fluid with zero pressure) to decrease as the universe expands (as the cube of the scale factor).
> Shouldn't dark energy density also fall?
No, because dark energy, considered as a stress-energy density, includes negative pressure equal to minus the energy density, and the same local conservation of stress-energy density I referred to above requires that in this case, the energy density is constant in both space and time.
Note that the new findings described in the article amount to raising the possibility that what we thought was "dark energy", i.e., a cosmological constant with pressure exactly equal to minus the energy density (that is what w = -1, mentioned in the article, means), is in fact something else whose equation of state (relationship between pressure and energy density) can change over time, with pressure becoming less negative (w less negative than -1). If that is the case, the energy density would also be decreasing over time, though much more slowly than for ordinary matter.
That makes total sense!
Does this meak we know how much the total density of matter has to decrease in order for universe to expand one cubic meter? What's the energy equivalent of one new cubic meter of space, in Joules? Do we know that? Does it fit the observed matter density, with and without dark matter?
It looks to me that "dark energy" / cosmological constant is just a measure of preference for matter+volume (or at least energy+volume) to take the form of volume rather than matter, in an otherwise conserving process.
It doesn't work that way. Remember that GR is a theory of spacetime geometry. When we say "the universe is expanding", that's really shorthand for "the spacetime geometry of the universe has a particular shape". It doesn't mean that the universe "adds cubic meters" over time.
There is certainly a relationship between the density of matter (or more generally stress-energy density) and the geometric property that informally we refer to as "the rate of expansion of the universe". The equations that express that relationship are the Friedmann equations, which are just the Einstein Field Equation, the central equation of GR, specialized to the kind of spacetime geometry that "expanding universe" refers to. But it's not really useful to think of those relationships as saying that if the matter density decreases by this much, it makes the universe expand that much.
> It looks to me that "dark energy" / cosmological constant is just a measure of preference for matter+volume (or at least energy+volume) to take the form of volume rather than matter, in an otherwise conserving process.
No, that's not a good way to look at it.
A cosmological constant aka dark energy is best thought of as just an unusual form of perfect fluid whose pressure is minus its energy density. Then you just plug that into the Friedmann equations to get predictions for what we should expect to observe, such as "accelerating expansion".
You were talking about stress-energy tensor, and it did sound like density decrease is linked to the volume increase in a mathematical sense so that conservation happens. Now you say they are not related in that way. If the density decrease is not linked to the volume increase then you have to explain where that extra energy went.
"perfect fluid whose pressure is minus its energy density" does not make sense because you said it is expanding but keeping the same density. If a fluid is expanding but not becoming less dense, it wasn't a fluid in the first place.
Unfortunately what I can see is lack of understanding the mechanism and being able to productively reason about that, and stress-energy tensor is sufficiently complicated abstraction that one no longer feels the discomfort of not understanding.
Then you are disagreeing with our best current physical model of our universe, which does not say what you are saying.
> I'm not geting it out of this discussion.
You should be aware that General Relativity and modern cosmology are complex subjects, and cannot be understood all at once in the course of an Internet discussion. Do you know how long it took me to properly understand the model that I am giving you a very quick and abbreviated description of? Several decades. So if you're expecting a quick "sound bite" answer that will make sense to you, and you have no background whatever in those subjects, of course you are not going to get what you are looking for. I can't help that. All I can tell you is what our best current models say.
> You were talking about stress-energy tensor, and it did sound like density decrease is linked to the volume increase in a mathematical sense so that conservation happens. Now you say they are not related in that way.
No, that's not what I'm saying. What I'm saying is that the relationship is not a causal relationship, in which the density decrease causes the volume increase. It is just a relationship that is enforced by the overall relationship between the spacetime geometry and the stress-energy tensor. The general form of that relationship is the Einstein Field Equation, and the particular form that applies to our best current model of the universe is the Friedmann equations. Those equations most definitely do give a relationship between density decrease for matter and what you are calling "volume increase"--more precisely the rate of "volume increase" (but the term cosmologists actually use is "scale factor" and "rate of increase of the scale factor"), and that relationship most definitely does include a local conservation law for stress-energy. I apologize if that wasn't clear.
> "perfect fluid whose pressure is minus its energy density" does not make sense because you said it is expanding but keeping the same density. If a fluid is expanding but not becoming less dense, it wasn't a fluid in the first place.
I'm using "perfect fluid" here as a technical term for a particular form of the stress-energy tensor, where the only two things you need to specify are energy density and pressure. Terms like "matter" and "dark energy" are then just names for particular equations of state, i.e., particular relationships between energy density and pressure. "Matter" means pressure is zero. "Dark energy" means pressure is minus energy density. That is standard usage among cosmologists.
As for why the dark energy density stays the same as the universe expands, that's what the Friedmann equations say when pressure is minus energy density. If you don't like the term "perfect fluid" to describe such a thing, that's fine, call it something else if you like. (But don't expect cosmologists to go along with you.) The important point is the physics, not the words we use to describe it. The physics is what I said. You can check it for yourself if you like by looking up the Friedmann equations.
> what I can see is lack of understanding the mechanism
What I can see, and I can't avoid saying this bluntly, is someone who has no background in physics but still presumes to tell someone who does have such a background what they do and do not understand. Sorry, but you, and again I can't avoid saying this bluntly, simply don't know what you are talking about. I do know what I am talking about. I'm sorry that I can't convey what I know to you in a quick sound bite that will make sense to you, but that's beyond human powers. There's a reason that people spend years or decades studying these subjects, and there's...
> What I'm saying is that the relationship is not a causal relationship, in which the density decrease causes the volume increase. It is just a relationship that is enforced by the overall relationship between the spacetime geometry and the stress-energy tensor.
I'm not even sure why focus on casuality of the event. I'm more interested in whether that stress-energy tensor is a tool which lets us reason about any interesting info, such as:
Can we imagine a noticeable area of space suddently becoming empty and devoid of matter - would it cause the inflation, as in elongation of paths between ourselves and some distant object with this area between us, to become faster? Slower? Just about the same?
When you talk about a "local conservation law", do you mean that there's math which makes the energy difference go away, and then inflation goes at the same rate regardless of whether energy-losing matter (such as light) is present in the expanding area or not? Because that just does not sound satisfactory.
Imagine driving over a $100 bill lying on the ground and once you've past it the bill is gone. You can reason that the bill wasn't significantly thick, and when you drove over it you created some tension and a measurable local depression, but once you went past the ground returned to the same level as it were. That is indeed true and scientifically sound. But where's that money now? That is a question that needs some answer.
Maybe it's now stuck to your wheel, maybe it's under a film of dust now, or somebody have pocketed it. But there has to be some answer.
Because your original question made it seem like you were thinking of the density decrease caused the volume increase. If you understand that that's not how it works, that's good.
> Can we imagine a noticeable area of space suddently becoming empty and devoid of matter
Note that this can't happen except by matter flowing out of the area. The matter can't just disappear. That is what the local conservation law for stress-energy says.
> would it cause the inflation, as in elongation of paths between ourselves and some distant object with this area between us, to become faster? Slower? Just about the same?
As I understand it, cosmologists are working on models in which the density of matter does vary from place to place as well as with time (although even phrasing it that way introduces technical issues that I won't go into here), because our observations seem to indicate that, for example, there is a "void" a billion light-years or more wide in our general vicinity, where the density is significantly lower. Note that this only applies to ordinary matter, not dark energy.
The general indications so far of those models, from what I understand, is that such "voids" result in a faster expansion in that area (though again I am ignoring significant technical issues with how this is phrased). However, this is still an open area of research, and the models become significantly more difficult to work with because you can't solve the equations analytically any more, the way you can when the density is constant everywhere in space. You have to do numerical simulations.
> When you talk about a "local conservation law", do you mean that there's math which makes the energy difference go away, and then inflation goes at the same rate regardless of whether energy-losing matter (such as light) is present in the expanding area or not?
I'm not sure what this means.
What the local conservation law says is that stress-energy cannot be created or destroyed; it can change form (for example, matter can transfer some of its stress-energy to radiation by emitting it), and it can flow between regions of spacetime, but the flow cannot have any sources or sinks. The complication is that the "flow" has to take into account the spacetime geometry, which affects how you "count" the flow. For example, if we consider an expanding universe containing just ordinary matter, the energy density decreases like the cube of the scale factor, but that is not a violation of the local conservation law, it's because of the local conservation law--the spacetime geometry is changing as well as the energy density, and the combination of the two changes keeps the local conservation law satisfied--in terms of the local conservation law, the "flow" is conserved, there are no sources or sinks, even though the energy density is changing.
This is one of those things that's really, really hard to explain in ordinary language. The mathematical statement is that the covariant divergence of the stress-energy tensor is zero. Physicists understand what that means and how to use it even if they can't express it very compactly in ordinary language.
That's exactly what I've feared. You just spent writing a full page of text how it takes several decades to understand the theory, then I ask a simplest of questions about it, one that any bright primary schooler will come up - and the understanding immediately implodes on itself because the answer is simply not there. All of these decades of studying led to a model that barely supports itself but cannot hold even lightest useful load.
Imagine how a person will study mechanical springs for several decades, then you ask them what happens if you add some load to the spring currently hanging idle, only to hear that it's an "open area of research". But it would probably go up. Something surely would.
I understand the idea of local conservation. Imagine an empty region of space where there's just light, and neutrinos, and some dust. Some time passed and some of that light (and neutrinos) lost energy due to red shift. Where did that energy went, stress-tensor or not? Where's the $100? Whose pocket does it line? What I'm hearing from you is "it can't go nowhere so it went somewhere" but that's not good enough. I suspected that already.
It can be that it's the same $100, they just worth much less than when they were printed because of all the other money which were in circulation between then and now. But that still needs to be described to the point.
No, the answer is there, but it's not simple. Again, you want a quick sound bite: yes or no to your question. And reality is not like that. Reality is not simple sound bites. Reality is complicated and it takes work to figure out what is really going on. That's why it takes years or decades to get a real understanding of any useful model of reality on the scale of the universe. That's why it takes years or decades to do research to expand the boundaries of our knowledge. You want me to just bypass all that and give you a simple answer. Sorry, no. There isn't one. That's not because scientists are stupid or because our models don't work. It's because you don't want to accept the actual cost of understanding them.
> Imagine how a person will study mechanical springs for several decades
But nobody does that. Physics students learn a simple model of how mechanical springs work in a lecture or two. Mechanical engineers learn more detailed models that work for things like designing car suspensions in maybe a semester. People might certainly work with mechanical springs for decades, but they won't spend that whole time just getting an understanding of our best current model of them. They will spend most of that time using the model that that already understand.
But the whole universe is not a mechanical spring. And learning our best current model of the whole universe is a lot harder than learning our best current model of a mechanical spring. So you are simply being unrealistic if you expect someone to explain the whole universe to you with the same amount of effort it would take to explain a mechanical spring.
> I understand the idea of local conservation.
No, you don't. You may think you do, but if you did, you would not even have to ask:
> Imagine an empty region of space where there's just light, and neutrinos, and some dust. Some time passed and some of that light (and neutrinos) lost energy due to red shift. Where did that energy went, stress-tensor or not?
Local conservation says no stress-energy went anywhere. The redshift due to the universe's expansion does not lose any stress-energy. Stress-energy is conserved.
A better question would be, if stress-energy is locally conserved, why is there a redshift as the universe expands? And the answer to that is that the local conservation law does not say the energy density stays the same. It says that stress-energy is not created or destroyed. But "stress-energy" is not the same as energy density. The density of stress-energy, for matter (or radiation, since you asked about light) is the same with the scale factor slightly smaller and the energy density slightly higher, as with the scale factor slightly larger and the energy density slightly smaller. That's what the equations tell us. (For dark energy, as I've said, they tell us that the energy density does stay the same as the universe expands. But that's only true for dark energy.) All of these statements are consequences of the Friedmann equations, or, if you want to look at it that way, of the relationship that is enforced by those equations between stress-energy and spacetime geometry.
That's about the best I can do at describing what the equations say in ordinary language. There's a reason why physicists do physics with math: because math is a much better tool for the job. I've already told you what math to look up if you want more information.
So you are saying, there is a semi-reversible process where energy and volume are correlated? That's what I've started with.
Should there actually be some specific amount of energy in place in order this density-to-scale transmutation to happen? What kinds of energy participate in it in our real world scenario? Does it depend on the specific local density (though I've already asked that)?
My original objection was to you thinking of it as a "process", or at least a process involving energy and volume. It's a relationship between stress-energy and spacetime geometry.
> Should there actually be some specific amount of energy in place in order this density-to-scale transmutation to happen?
There is no such "transmutation". That's not what's going on. Your questions aren't answerable because they are based on false premises.
At this point I've done my best to explain what is and isn't going on. All I can do is recommend reading more detailed treatments, which you can find in any cosmology textbook, or in briefer form in most GR textbooks. Sean Carroll's lecture notes on GR are available for free online [1], and Chapter 8 discusses the basics of our best current model of the universe in cosmology.
[1] https://arxiv.org/abs/gr-qc/9712019
For instance, if it is true that something cannot come out of nothing (ex nihilo nihil fit), and its clearly true that something exists (cogito, ergo sum), then it must be the case that whatever base reality is, it must have always existed. This base reality could be god or some base physical laws or something else, but unless someone can show that the premise is incorrect, we can surmise the eternal nature of reality.
Yeah I agree with this in general. When it comes to logic though, it is hard to see how for instance the law of the excluded middle could be wrong. But then that may be just the limited brain talking :)
> Cogito, ergo sum is a meaningless statement in this context.
Not sure how. The fact that I exist is irrefutable. Everything else could be just a dream, say if base reality is that I'm a brain-in-a-vat, but my own experience says that I exist, and no one can deny that, not even God.
> Take quantum mechanics for example. Makes all our logic go away.
That doesn't sound like the right way to think. QM, and science in general, is based on observations, and those are always subject to revision. Tomorrow, all laws of physics could flip, making all our current science moot. The only role of logic here is to make sure that our techniques and conclusions are consistent and not affected by the arbitrary whims of human thoughts and desires. Logic actually helps humans go beyond the biological limitations.
Ah morally that's correct. But in general, such thinking is giving up too much.
Capital T Truth exists irrespective of humans, no? For instance, Quantum Mechanics was True before it was discovered, and would have remained True whether or not there were ever any humans to investigate it. The same for whatever base reality is.
> The experience of my own existence - and the assumed irrefutability of it - is based on features beyond my control. How do I make my heart beat?
The way we experience it, sure. The fact that we experience something, be it a true reality or an illusion in a matrix, is irrefutable. That's exactly "what cogito, ergo sum" [0] is talking about. In fact, thinking along these lines is what led Descartes to come up with this principle. In a world of uncertainty where we cannot even trust our own senses, how can we arrive at any Truth? And he realized: everything else we think and experience could be false, but the fact that I am something that is able to think and exist is itself a truth that no one can take away! It's history is pretty interesting.
[0] https://en.wikipedia.org/wiki/Cogito%2C_ergo_sum
That push is often subtle, but incontrovertible.
Modern cosmology really feels like it's on the cusp of something like that today - perhaps in how spatial dimensions emerge, or some other thing - underlying our more stolid mental models.
I apologize, I'm dealing exclusively in XSLT today and I can feel my brain screaming.
Keep in mind, we cannot explain what matter and energy are. We measure and work in terms of waves. What is "waving?" We literally do not know.
The thing is NOT the wave. Period. But everywhere we look we detect that literally everything is vibrating/oscillating/waving. Each improved microscope/observation/meaurement reveals space and some type of vibration.
However, we rely on the observed, measured properties to do things. Generate (harness) and use electricity and perform (encourage) chemical transitions and combinations, for instance. We have a significant well of practical knowledge.
But the nature of existence and the grand cosmological scheme? Probably not going to crack that. It's very fun to try and you learn practical things along the way, though.
so what you are saying is that you've picked up on what experts who discuss this are discussing the nuances of.
-- Terry Davis
Anyhow, the absence of strong dark energy makes things very easy for Penrose for the general concept of a cyclical universe. If gravity wins against dark energy, then a big crunch is easy, following which a new cycle starts. If instead gravity stays balanced with dark energy, then black holes slowly evaporate into photons anyway, preserving C3.
1. When they say "70% of the universe is made up of dark energy, the rest is matter and dark matter", in what sense is the universe "made up" of those things? Or, perhaps, what is the "universe" that is made up of those things? If dark energy is this cosmological constant, in what sense does it "make up" 70% of the universe?
2. If the value of w is changing, and w is this cosmological constant that is dark energy (I'm probably not using the right words here), and dark energy is part of what makes up the sum total of the universe, did the decrease in dark energy go somewhere? Did it show up as an increase of something else? If so, what?
3. If w is changing over time, even if very slowly, should we suspect that other things might also be changing? The speed of light? The fine structure constant? For that matter, if w changes, does that require something else to change as a cause?
4. How did w change? Was it a step function, a corner (discontinuous first derivative), or a smooth change? Is it now constant, or is it continuing to decrease? (Yeah, I know - we just discovered this at all, I'm almost certainly asking for more precision than we have data for yet...)
2. W is not the cosmological constant, but a related parameter. It does not go anywhere, the density just changes.
3. These things are unrelated. We do look for changes in these constants either way as good as we can, because imagine the excitement! But so far they all look very constant.
4. No one knows. It's probably always been close to -1, or else the universe would look very different, but you can play around with all kinds of time parameterization of w. The math gets complex very quickly, so the most common parameterization is a linearization. Simply measuring that is a challenge, so measuring this quantity in a model independent way is extremely difficult.