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Mathematics of Eternity Prove The Universe Must Have Had A Beginning (technologyreview.com)
97 points by kenhty on April 25, 2012 | hide | past | favorite | 77 comments



I've found one useful way to think about the question "what was before the Big Bang" is to ponder "what is North of the North pole"?

Don't stretch the analogy too far - I'm not suggesting that spacetime is topologically shaped like that - but to me it's a useful example of a co-ordinate system which seems locally euclidean going whacky at/near the boundaries.

Roughly, "But there has to be something before the big bang, you just go back a bit further in the same direction!" == "But there has to be something North of the pole - you just go a bit further in the same direction!"


The problem is that you an use words like "go" and "direction" in a situation where they make sense. In the incipient phase of the Universe the space-time did not exist as we can perceive it with our brains, themselves based on physical and chemical properties of the mature Universe - so would be impossible to "imagine" that there is no "north" because there is no direction available.

Kant deducted that our conscience and brains are born with the sense of space-time and we cannot override this. The only way in which we can access this ideas is only through highend mathematics and AIs that just need to do a job, but not to explain to our limited brains how.


Kant may have deducted that, but he's talking about a neurobiological phenomenon born from evolutionary pressures in a very limited environment.

Michelson–Morley mesured, and Einstein explained, how speed of light, not time, is constant through the Universe. To the point of questioning simultaneity.

If we've already got non-constant time, then the concept of a time origin prior to which there is no sensible physical description is at least plausible, if not something I can, spacial geometric puns pardoned, wrap my brain around in the same sense that there's a limit to "northness" on a spheroid.


Yes, the idea of the analogy is that these concepts "make sense" near our current space-time location, but break down near the edges of our universe.

Our brains think that "North" and "earlier" are directions which can be extended infinitely, but they are wrong.


I don't think your analogy relies on this, but I should point out that spherical (or ellipsoidal, if you please) geometry is notable for being a non-Euclidean geometry.


That is exactly what parent said. spherical geometry is locally Euclidean but not globally Euclidean. (It is a manifold).


You can read John Rennie's excellent answer to this question (http://physics.stackexchange.com/questions/24018/how-can-som...) that always comes up during discussions on time.


it was a good read, I +1 you.

what literally gives me a headache if I think about it for longer than 45 seconds is this question how come something could exist before anything existed. It had to exist, otherwise what existed after that wouldn't be created. But it was, and our universe and we are a prove of it. It feels like an almost perfect crime that we are a result of, if you can follow my thought here. I dont care how many billion of years in past I have to dig into. I dont care how many billions of lightyears I need to travel. At the end, at some point, there must be an end. Whats after it? Just think of it, for a moment. It exists right now in this second. Sure you wont see it in your lifetime, or experience it, but taken out time and distance from this equation, you would be there and experience it. Awesome stuff...


"A universe from nothing" by Lawrence Krauss presents the possibility of a universe without a beginning, even one containing "nothing", yet still be compatible with present cosmology. My general impression is that by "nothing" he means "averaged out, zero energy" and with a set of laws (quantum mechanics) that can generate fluctuations. Out of these fluctuations you can have particles of various energy arising (which normally live short lives and decay back into nothingness).

But given enough time you could have a large enough fluctuation that generates a big bang, followed by very long inflation and cooling. Equally so, you could have a fluctuation that winks all the known universe into a void, suddenly and without warning.


I've always thought these "universe from nothing" statements are more than a bit deceptive if they mean "averaged out, zero energy".

If there is some background with a set of laws that produce fluctuations, it's hard for me to see how that is nothing. But I'm no physicist. :)


I'm a Physicist, and it's not 'nothing'. :) Lawrence is engaged in a metaphysics program. He wants to show that atheism is intellectually justified as to the origin of the Universe, as they feel it is with the darwinian theory of origin of species.


> atheism is intellectually justified

It is, and will be, until the people who believe in the supernatural provide solid evidence for their specific claims.


Making the positive statement that the 'Universe is uncreated', is just as intellectually justified as saying 'The Universe is created'. Not very justified, if you ask me, but just as much in both sides. One can only get subjective if saying that their hypothesis is more justified, although unverified.


> Making the positive statement that the 'Universe is uncreated', is just as intellectually justified as saying 'The Universe is created'.

No, because the statement "The Universe is created" demands that the person stating it demonstrate the existence of the creator in a way that rules out the likelihood of that creator not existing.


And the statement 'The Univers is uncreated' demands a proof that there is no creator. And it's generally accepted fact that you can not prove the inexistence of something.


Of course you can prove the non-existence of something. For example, when the existence of a thing entails certain other things being true, and they are shown not to be true, then it is also shown that the thing of that description does not exist. For another example, you can show that a certain description is self-contradictory and cannot have any referent.

Though it may sound trite, you aren't going to get anywhere on this argument until you figure out what you mean by 'universe' and 'created'.


Very good point. But I'm afraid I don't have the time to go now into all the subtleties of the theological and philosophical definitions of created/uncreated, ontological dependence, being, person and so on. There's a rich literature on this.

As point, you have to make supplementary assumption as to what the existence of a being entails. And that follows from the definition for that thing. But when it comes to the created/uncreated distinction, I can not 'a priori' make any other assumption than the fact that God has the power to create things different from Himself. That's it.

Some find it, for instance, contradictory that a loving God allows suffering in the world. It's not my intention to go into that argument now because there's a lot to say, and has been said by many, about love, suffering, evil, freedom etc. At each point, and with each added concept, chances are that people will find contradiction just because they don't agree on the same definition.

Hence it's difficult sometimes to rule out the existence of an object on the basis of an apparent contradiction.


There's a rich literature in physical cosmology too... and I suspect that a difference between the operational definition used there and the traditional Christian definition is causing a lot of crosstalk.

I'm puzzled about why you think you can make certain assumptions about God but not anything else. It seems to me that you are in just as much of a fix to make assertions about God as you are to make assertions about time, or Dunkin Donuts Inc.

I appreciate that you conceded the possibility of showing that one thing or another doesn't exist - my concern was really for that general principle and not any specific application (e.g., to the unceasing arguments about God)


> 'The Univers is uncreated' demands a proof that there is no creator

No. That's the null hypothesis, so it merely requires a lack of disproof.


Absence of proof != proof of absence


You don't prove the null hypothesis. But you might not have enough evidence to rule it out.

I don't honestly know how to apply this kind of t-test logic to the question of whether gods exist, but I think we have fairly adequate evidence that dodo birds do not exist any more, and we haven't even tried that hard. If you try very very hard and in good ways to find something which by all rights should be there, and don't find it, it's just basic honesty to say you 'failed to reject the null hypothesis' than to make plausible excuses about how it really must exist despite the dearth of evidence.

If you have an idea about how to really find it, then it's up to you to make a better methodology and then use it to find the thing. And you can keep coming up with better and better methodologies around all the excuses for as long as you want to. Everyone can.

But the more sustained and general the failure to see expected evidence, the less likely the basis of the expectation. So rational people will give up on Eldorado and Shangri-la after many attempts fail to find any evidence for them. Shangri-la might be hiding behind a cloud, sure, but that doesn't mean that every claim is equally credible. A million excuses for lack of evidence are more likely a product of human frailties than of the claim actually being true after all that failure to support it.


It's worth noting that the meaning of the very word "supernatural" precludes the possibility of solid evidence.


I agree. People often mistake the two domains of reality. Just because the physical reality is given and closer to us, we can't rule out other forms of existence.

And say that, somehow, a percentage of humans had some sort of experience of the supernatural. Then they pass on that information. Some believe them, some don't. It's a matter of confidence. Some of the ones that just believed in the first place, eventually get to also have those spiritual experiences.

One could also make conjectures about the nature of those spiritual experiences: that they were illusions, hallucinations, or real experiences. But it can not be objectively verified.

And there will always be a percentage of people what will not believe.

Taking the exigence of objective, material verification of experiments in Physics to a field of subjective, psychological/spiritual experiences, seems to me to be a mistake.


> Just because the physical reality is given and closer to us, we can't rule out other forms of existence.

We can to the same extent I can rule out the existence of one million dollars in my bank account right now.

> And say that, somehow, a percentage of humans had some sort of experience of the supernatural.

If this is distinguishable from schizophrenia, they should be studied in earnest and learned from.

> But it can not be objectively verified.

Yes, it can.

> Taking the exigence of objective, material verification of experiments in Physics to a field of subjective, psychological/spiritual experiences, seems to me to be a mistake.

No. All reality is founded on the same laws. If there was something special about consciousness, it would have repercussions on every other facet of existence, and it would need to be studied on those terms.


There is at least one obvious kind of existence which isn't physical, which is the sort of existence which the things studied in math have got. That isn't particularly controversial because the 'existence' of even numbers is logically a very different thing from the 'existence' of dodo birds, or 500-foot-tall Schwinn bicycles, or Inspector Gadget.

The question of whether mathematicians are schizophrenic or mathematics represents some massive failing of science just doesn't arise because it is already well understood what is being talked about. Often the problem with theology is that we don't understand and even refuse to get clear on what it is we mean to be talking about; maybe we are just so hot to reach emotional and political conclusions...


"That isn't particularly controversial because the 'existence' of even numbers is logically a very different thing from the 'existence' of dodo birds, or 500-foot-tall Schwinn bicycles, or Inspector Gadget."

That's a concept, what do you mean by existence? Does that mean Harry Potter and Inspector Gadget exist? I don't think you're using the word "existence" correctly. I may be wrong in knowing what you're arguing as it was hard for me to parse what you wrote. I'm sorry if I misunderstood it.


If I'm using the word "exist" wrong (which I am happy to admit) then I certainly want to learn how I should be using it, for sure.

For the record and hopefully to reduce confusion, I don't think that Inspector Gadget (the man) exists. But there is still something it would be for him to exist, presumably; it just doesn't happen to be true.

Suppose I tell you there is (exists) a cheeseburger in the bag. You want to know if that's true, so you look in the bag. What do you look for? Depends on what you expect a cheeseburger to look like: probably you expect a physical object within a certain range of sizes, with certain parts of certain compositions, etc.

Now same story but meatball sub. Well, the things to look for are different in some ways.

Now same story but even number greater than 10,000. There isn't a bag you can look in for this. etc.

Dodo birds used to exist, don't any more. Checking for them is pretty different from checking for numbers or cheeseburgers in a bag.

Sherlock Holmes never existed. But you probably have at least some idea what it would mean if he did, and this is tied to how you'd check to see if he did exist.

The idea here is that 'exists' doesn't seem (to me) to be one operator which always does the same thing; it seems to be very well bound to whatever it is we are talking about the existence or nonexistence of.


> There is at least one obvious kind of existence which isn't physical, which is the sort of existence which the things studied in math have got.

I'm a formalist, so I think things studied in math are purely mental and do not necessarily have any connection to anything in the physical world beyond human mental states.

So the set of the reals is well-defined, useful, and interesting, but it isn't something you can point to any more than a unicorn is something you can point to. A thought about a unicorn is perfectly real, as is math, but that doesn't go for the concepts math involves.

> Often the problem with theology is that we don't understand and even refuse to get clear on what it is we mean to be talking about

The problem with theology is that it's philosophy with people claiming absolute truth based on nothing at all. They 'refuse to get clear' on some things because if they did, we could test their statements and demonstrate them to be wrong.


"Exists" doesn't necessarily mean "you can point your finger at it."

You can't point your finger at these nebulous "thought" things, either.

Surely one can say something like "there exists a number such that ..." and proceed to give conditions. For example, even numbers exist (8, for example). Is this some kind of erroneous use of the word "exists"? Of course not.

It's just that "exist" is a pretty generic operator - the conditions for one thing to exist can be radically different from the conditions for another thing to exist; they don't have any clear shared "flavor of existing"


> "Exists" doesn't necessarily mean "you can point your finger at it."

I agree with this if you allow mathematicians to use the word 'exists' in their usual way.

> You can't point your finger at these nebulous "thought" things, either.

Again, largely correct, in much the same way you can't really point at a specific wind.

> It's just that "exist" is a pretty generic operator - the conditions for one thing to exist can be radically different from the conditions for another thing to exist; they don't have any clear shared "flavor of existing"

And this leads into a massive philosophical issue that we've probably been going around and around with since even before the Ancient Greeks.

My point, though, is that saying "the supernatural exists" is either a null statement (because the "supernatural" being talked about doesn't do anything) or demonstrably false (because someone makes a testable claim and it's proven that the phenomenon under discussion has a natural cause).


I see your point.

If God exist(s|ed) then all the observable parts or effects of God (are|would be) natural, 'by definition'. And in that case the supernatural existence of God is totally pointless if it is even an issue. And it wouldn't work to disjunctively define 'caused by God' as meaning 'no natural cause' because some or all natural causes would be from God.

I suspect that the insistence on words like 'supernatural' is an insistence on an honorific, and on a social attempt to suspend the use of reason and evidence as they pertain to specific topics. Theists who don't insist on this kind of artificial isolation between talk about God and (say) talk about numbers or ethics or physics necessarily become more heavily engaged in the messy details. For similar reasons, dismissing the supernatural is quick and satisfying for skeptics in a way which extended theological arguments are not


> or demonstrably false (because someone makes a testable claim and it's proven that the phenomenon under discussion has a natural cause).

Beware that you actually test the claims and not necessarily the existence of that 'supernatural' object. People make all kind of claims about the supernatural, often contradictory to each other. Proving one wrong, doesn't make the other ones wrong. You still have to prove each individual claim (statement within a system of beliefs) to be wrong.

Saying that an entity S is X and Y, and given that claim X contradicts fact F, doesn't yield that S is not Y (unless X and Y are dependently bound), or that S doesn't in fact exist(ed).

One can claim about Aristotle that he had blue eyes, or red beard. If these claims are false, does it mean he didn't exist?


Suppose that we strip Santa of all his characteristics: we say that Santa's age, weight, beard, gender, personhood, personal history, powers, acts, etc. are all irrelevant.

Now what meaning is there in discussing the existence of Santa? None. Because (I submit) what it means for something to exist is completely different for each thing.

Discussions about God constantly founder on this point - at the outset, when discussing the mere existence of God, it seems almost inevitable that every single characteristic is removed from the table until there is nothing to say about him.

But if his existence seems to be proven, then a massive conjunction of claims about him (indeed, a great number of claims specific to a religion) tends to spring up out of nowhere, as if these did not need to be specifically shown.

This shouldn't be surprising, since many specialists in apologetics have admitted openly that their purpose is not to zero in on the truth through reasoning and discussion but to try to use reason as a weapon against itself to clear the way for adherence to some specific religion.

"I'm trying to figure it out" isn't a religion, unfortunately.


> Proving one wrong, doesn't make the other ones wrong. You still have to prove each individual claim (statement within a system of beliefs) to be wrong.

Right. However, as humans are allowed to reason statistically, proving most of the claims of a given religion wrong will make it very unlikely that any of them are all that accurate.

The rest of your post I agree with.


If there is not a million of dollars in your account, can you infer that there is not a million dollars in my account?


> If there is not a million of dollars in your account, can you infer that there is not a million dollars in my account?

I can infer that it's highly unlikely and notice that you've so far done nothing to demonstrate the existence of the million dollars.


I heard once on Oxford SciBar (I think that one - http://www.oxfordscibar.com/september-2011.html) a scientist who said that universe could really come from nothing, if all energy in it summed up to 0.

EDIT

BTW. Oxford SciBar is an awesome event, so if one lives or happens to stay in Oxford for some time, it's worth checking out.


The question would be then what the beginning of quantum mechanics is. They are also laws and why do they exist? The question "why" is probably wrong here, that implies a reason where we will never find one. These thoughts that we are a product of nothingness with fluctuations make me really feel weird. There is probably an eternity outside of our universe, something that we have to accept and that there is no reason for it.


If it makes you feel better "eternity outside of our universe" is an incoherent concept; as time without particles moving around makes no sense[1]

[1] http://www.qwantz.com/index.php?comic=2190


>There is probably an eternity outside of our universe, something that we have to accept and that there is no reason for it.

What do you mean by "an eternity outside of our universe"? If you can reconcile that, then why is it hard to think that our universe would have no beginning?


The question "why" does not necessarily point to a purpose, although we can not 'a apriori' exclude that possible purpose from being there.

You could see it as two folds answer: either the laws and this "nothing" simply exists, or something else created them.

There's really no need to keep asking "what, then, created the creator", for simply things are the way they are and not necessarily as in the explanation we find satisfactory. It could be that the Universe has no creator (I personally find it highly improbable), it could be that it has one creator, or N. I can't be absolutely certain and we can't really check. All we can do is have an opinion/belief about it.


>There's really no need to keep asking "what, then, created the creator", for simply things are the way they are and not necessarily as in the explanation we find satisfactory.

The same thing could be said for anything and why wouldn't you just stop at the universe instead?

>It could be that the Universe has no creator (I personally find it highly improbable)

How is this improbable? Do you have evidence or something that would lead you to such a claim? Also, what do you mean by "creator"?

>I can't be absolutely certain and we can't really check. All we can do is have an opinion/belief about it.

How do you know this? Isn't that a claim of certainty that you said we don't have. If we don't have evidence or any logical reasons for something, then guesses aren't sufficient explanations.


As I said, I have an opinion/belief. If I had evidence, it would be more than an opinion. But it's not.

As for the certainty, no one so far has created a test, not even theoretically, to discern between a created and an uncreated thing. At least I'm not aware of any.

Still, epistemologically, beliefs can be shown to be true, although they are not justified. Sometimes it's pure luck, some other times it's insufficient justifications.

When I say it's improbable, it's a statement of belief. Not my intention to be persuasive.


> As for the certainty, no one so far has created a test, not even theoretically, to discern between a created and an uncreated thing.

It's simple: Demonstrate the existence of the creator.

> As I said, I have an opinion/belief.

Why?


If you prefer Mercedes to BMW, and a total stranger comes to you asking "Why?", would you feel obliged to answer?


Is this really a matter of trivial preference like that?


I don't it's trivial. It's a matter of life and death. But my death and my life. It's not that I don't have an answer, but I don't like feeling interrogated. :)


This isn't an interrogation, but you said some things which I think deserved critique. Just because you have an opinion doesn't make it so, nor is it something that should be respected. You don't have any legitimate reasons to say these things so you hide behind opinion as if because it is an opinion it's above scrutiny.


I guess I think that choice of car brands is trivial; maybe it wasn't a great example.

Thinking about things is really important (and this isn't just a personal matter or a matter of taste, but a matter of what is true and what is false). But I CERTAINLY agree that nobody ought to be forced to have awkward conversations, this is why some places have long standing traditions like "no religion at the dinner table" (and, for that matter, "no proselytizing by public school teachers")


this builds on an earlier theorem, which i haven't looked at (and probably wouldn't understand anyway) which apparently makes rigorous the intuitively attractive idea that if you trace back in time something that is getting bigger then at some point you reach zero.

the reason oscillating universes are caught out by this is that (apparently - this is all just my impression on a quick skim, having never understood things much and leaving astronomy - not even astrophysics - decades ago) even though they oscillate, they need to get systematically bigger to work around some problems with entropy.

another model they considered is a universe that "just sits there" like a seed, forever, until (randomly) deciding to grow. and that has problems with quantum mechanics (which you can imagine - how can something be stable for an infinite amount of time?).

one problem is that it's a paper that really only attacks current models. they don't prove that no other model could be thought up.

you could also argue another weakness of the paper is a reliance on our notions of basic physics (quantum and statistical mechanics) holding true even in the distant past. but then, what else can you do?


Creation of something from nothing seems rather functionally equivalent to destruction of a something into nothing with time reversed. Is there any known process or way to take something and destroy it utterly into nothing? If not, then what would make such an utter destruction possible given a reversed direction of time?

Except as an abstraction, it seems to me that no one has any real experience of nothing. As an empiricist, that gives me quite a bit of pause when anyone starts making claims about nothing (myself being no exception).


This is my theory.

After watching Steven Hawking's series on The Universe, he talked about Black Holes and how they keep growing and growing; sucking in more mass and getting denser and denser, whilst at the same time amasing more gravity.

i.e. the more mass something has, the more gravity it exerts, the more mass it attracts -- a viscious cirle.

So my theory, don't laugh, is that the universe if cyclical. After a Black Hole has consumed everything, including other Black Holes etc. it explodes and all that mass gets released creating the universe as we know it. And so on and so on over a gazillion years.

Is that absurd?

Edit: Many thanks for the informative replies...


Isaac Asimov has a brilliantly-written, chilling (indeed, to some, downright terrifying) very short story on this very topic:

http://www.multivax.com/last_question.html "The Last Question"

I won't spoil it for you. But go read it.


Wow, oh wow, that was absolutely fantastic. Cheers!


That was a great read! Thank you for sharing!


Very awesome


Two things to consider:

1) The volume of space a black hole influences doesn't increase without bound. If our sun collapsed suddenly into a black hole, it would have the same exact pull on the earth (i.e. we wouldn't suddenly be pulled into the black hole)

2) It is hypothesized that black holes do evaporate slowly (see Hawking radiation http://en.wikipedia.org/wiki/Hawking_radiation)



The universe contains more than matter. Did every last photon ever emitted end up in a black hole too? Or is the universe losing energy with every cycle?

This is besides the empirical evidence against a cyclical universe. Cosmological expansion is accelerating, rather than slowing down, as you would expect if gravity were to slow everything down enough to eventually contract.


The rough idea-that the universe is cyclical, not necessarily the black holes-is in fact one of the models explored in the paper.


Pulsating / cyclical universe theory: http://en.wikipedia.org/wiki/Cyclic_model


Black holes exist in space-time, they do not create it (even if they explode). The Big Bang made space-time happen. It was not an explosion in any normal sense.

For whatever reason popular cosmology has done a really poor job of getting that across, so you're not alone. It seems only a very small proportion of people who have heard of the Big Bang in the first place, think of it as something other than just really big, but otherwise unremarkable, explosion.



The question is not whether the universe had a beginning but rather how many times.


Big bang is not certain. Yes the cosmological background radiation is evenly distributed, and yes Hubble law makes accurate predictions, but these aren't proofs. I watched a documentary recently on this subject and most theoretical physicists surveyed did not believe in the big bang.


I recently attended a lecture given by an astronomy professor/cosmologist who concurred that yes, the big bang is on its way out as the accepted truth. Like a swirling drain, we're getting closer, and there are aspects of the theory that are (likely) true, but it is far from bullet-proof and will likely go the way of the dozens of other origin theories that were disproven before it.


I'd be interested in the documentary if you could provide a title!


It's called "Horizon: What Happened Before the Big Bang?".


Survey isnt really a great way to form a scientific opinion. The presence of disagreement is relevant. But majority vote is not.


That is kind of my point :)


And perhaps which universe we are talking about.


I'm a fan of the white-hole theory (big bang is opposite side of a super massive black hole in another universe)


Theory or "idea"?


http://en.wikipedia.org/wiki/White_hole

White holes appear as part of a solution to the Einstein field equations known as the maximally extended version of the Schwarzschild metric

We may be one of a processes of cosmological natural selection:

http://en.wikipedia.org/wiki/Fecund_universes#Fecund_univers...


Alternatively, the Red Dwarf explanation: http://www.youtube.com/watch?v=TxWN8AhNER0


Thanks, guess my tone was too sarcastic...


Theory.




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