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Is the Universe Shaped Like a Funnel?

DrMorpheus writes "A new theory of the shape of the Cosmos posits that the Universe may be shaped like a medieval horn, according to Frank Steiner at the University of Ulm. This theory, if true, could explain several strange observations about the microwave background radiation. The Universe would be stretched out at one end into a long tube and flared out into a bell at the opposite end. The technical name for this shape is a 'Picard topology'. To quote the article, '...our Universe is curved like a Pringle, shaped like a horn, and named after a Star Trek character. You could not make it up.'"

41 of 525 comments (clear)

  1. Someone enlighten me.... by rdsmith4 · · Score: 5, Interesting

    How can the universe, the sum of everything which exists, have shape? What, then, is outside this funnel? Isn't it infinitely large by definition?

    1. Re:Someone enlighten me.... by GuyinVA · · Score: 2, Interesting

      I thought the same thing. I think this was theorized by someone looking to make theories.

      If there is a finite line between the universe and whatever else is out there, what is it's shape?

    2. Re:Someone enlighten me.... by cybermace5 · · Score: 4, Interesting

      How can the universe, the sum of everything which exists, have shape? What, then, is outside this funnel? Isn't it infinitely large by definition?

      It might be seemingly infinite in three dimensions, but imagine two-dimenional topology mapped onto a ball. You could go seemingly infinitely in a single direction. Yet the ball has a finite volume. Now apply this to dimension over three....

      As for what's outside the universe, there can be only one answer:

      Lost socks.

      --
      ...
    3. Re:Someone enlighten me.... by call+-151 · · Score: 2, Interesting

      A good parallel to understand is if you were an ant living on the surface of a basketball. Your travels can go in any direction at any point, as if you were on a plane. If you had no memory, you may not noticed that when you travelled you were visiting places you had already been and you might think that you lived on a plane. In fact, the outside observer can see that your universe is curved.

      If you haven't read Flatland it is a gem that illustrates these notions of higher-dimenstional space wonderfully. It was written in 1888 and is in the public domain now, availble free online through Project Gutenberg or for a buck or two as a physical book.

      A wonderfully-done video is The Shape of Space, produced at the Geometry Center and uses nice animations to make these points. If you haven't see the Shape of Space or two of its Geometry Center sibling videos (Not Knot and Inside Out) you are seriously missing out.

      --
      It's psychosomatic. You need a lobotomy. I'll get a saw.
    4. Re:Someone enlighten me.... by SilverSun · · Score: 5, Interesting
      I don't think the universe being discussed is "everything that exists".

      Oh yes, that's what they talk about indeed.

      ..some "space filling" and some not..

      No, there is no "space outside the universe" that
      migt get filled. It is a question of space-time
      "curvature". A manifold does not need to be embeded
      in a higher dimensional space to have a curvature.


      The question of shape does not address what's in the gaps if it's not space-filling.

      there are no "gaps"


      The article is discussing the simplest kind of negative curvature

      ...which is still possible in the light of WMAP
      measurements. The simplest form of negative
      curvature is the "pringle" (or more common: "saddle")


      The trumpet shape being discussed is a two-dimensional analog of the actual case in our universe, and is clearly not space-filling.

      because it is a two-dimensional shape embeded in
      a three-dimensional space. The universe, i.e. space-time is (most likely) not embeded in a higher dimensional space. (That is even true if
      your name is Witten and your space-time has 11 dimensions, still, it is not embeded somewhere)

      Cheers

      --

      KdenLive/PIAVE - non-linear video editing

    5. Re:Someone enlighten me.... by serano · · Score: 2, Interesting

      To make this explanation less confusing, you might say the Universe is in three dimensions what the Earth's surface is in two.

      This might be getting at what I don't understand. On the surface of a globe, if I travel along the x-axis long enough I come back to where I started. In space though, the surface of the globe does not stop me from going into the volume of the object, so that would imply I could get to a point on the other side of the structure in two ways: either travel along the x-axis long enough or, the quicker route, cut through the middle. Is this correct?

      It also seems like if I stand on the surface of the globe and stretch my hands straight up and start flying in that direction, that I would head infinitely away from the globe. That suggests the globe space-topology is itself in a space-topology, because I'm leaving the globe topology behind and entering another space. Is this a logical outcome of the 3-d topology model that's being discussed? If so, how is the infinity problem this implies handeled?

    6. Re:Someone enlighten me.... by The+Unabageler · · Score: 2, Interesting

      incorrect. In this analogy you cannot cut through the middle because you are limited to traveling on the surface. When things like this are spoken of, the earth's surface is 2 dimensions only, you cannot leave the spherical plane into a third dimension. Likewise, with the 3d universe as the surface of a 4d sphere, you cannot leave the 3rd dimension and "cut through the middle."

      --
      perl -e '$_="\007/4`\cp%2,".chr(127);s/./"\"\\c$&\""/gees; print'
    7. Re:Someone enlighten me.... by SilverSun · · Score: 3, Interesting
      this is an artificial concept brought from mathematics

      from math, yes. artificial, no.



      I have yet to see an actual demonstration of something been bended without been embedded into space of large dimensions

      you can see it everywhere. I'll try to explain
      something that would be easy to show in a classroom.

      Imagine a piece of cloth lying on a table. the threads from which the cloth was woven define 'straight'. they form rectangular shapes.
      Now, draw a triangle on the cloth. if you
      add up all the angles, you will get 180 (if you
      did draw correctly). Now, let's say the cloth
      is a little elastic so that you can strech it
      with your hands while it is lying on the table.
      With two hands you will stretch the cloth more at
      some points and less at others. Now measure and add the angles in your triangle again. The result
      will in general be different from 180. if it is
      higher than 180 you have created positive curvature, if less, negative. All that while the cloth is still lying flat on the table.


      could anyone please present any evidence that there is nothing outside of Universe

      I hope you realize yourself, that this is a preposterous demand.

      Even if our four known dimensions would be embedded in, say, 11 dimensions
      and we just see a brane in this space. The 11-dimensional space would be what we call universe.

      Cheers

      --

      KdenLive/PIAVE - non-linear video editing

    8. Re:Someone enlighten me.... by SilverSun · · Score: 2, Interesting

      Then how do you explain that the universe is expanding?

      imagine you are an ant standing on an infinite rubber plane. every 2 meter there is a pole. now someone streches the rubber plane. the poles will be farther appart from each other. The plane didn't expand or bend in any other dimension as the two dimensions it already occupies.

      Now you are asking "How do you stretch a plane that is already infinite"... errr well... ;-)
      After a couple of semester in math your brain is so fried that you don't try to think about that ;-)

      Cheers

      --

      KdenLive/PIAVE - non-linear video editing

    9. Re:Someone enlighten me.... by SilverSun · · Score: 2, Interesting

      Your example with peace of cloth does not hold water because it is clearly embedded into out 3D world.

      No it is not. it stays completely in two dimensions. the complete chain of arguments holds in absence of a third dimension. Thus it can be genralized to curved three-dimensonal spaces in absence of a >=four dimensional 'surrounding'

      What you fail to realize is, that "curvature" in a mathematical and thus physical/cosmological sense does NOT mean something is "bent". It exclusively means, that the sum of angles in a triangle is tno 180. This and (almost) only that.

      Cheers

      --

      KdenLive/PIAVE - non-linear video editing

    10. Re:Someone enlighten me.... by markh1967 · · Score: 3, Interesting
      Or read Flatterland " which extends Flatland with more than 100 years of topological research and brings it up to date with present-day thinking.

      A fascinating and eye-opening book.

      --
      Input error. Replace user and press any key to continue.
  2. Re:Of course, Monty Python reference. by fshalor · · Score: 4, Interesting

    Maybe that's why music soothes the soul. I mean, if the whole universe has the shape of a sound producing "horn".. (I know, the subject said "funnel" but the body says "horn" and I'm a brass player)

    My only next question is has anyone determined the resonant frequency set fot it? It's have to be almost imperceptable in the low end. Jeeze. We're talking about pico Hz here.

    Wasn't discovered a few years ago that there was a prevailing low Bb (lots of octaves below the tuba range) sounding through the universe?

    "Good Night..." dingdingdingdingding

    --
    -=fshalor ::this post not spellchecked. move along::
  3. Are we inside a black hole? by SmackCrackandPot · · Score: 3, Interesting

    If you turn the picture sideways, it really looks like the space-time distortion caused by an extremely massive object, like a black hole. This reminds me of the theories that the universe is inside a black hole. The apparent expansion of the universe would be caused by the stretching of the space-time continuum.

    So, could you have black holes embedded inside the distorted space of another (huge) black hole (almost fractally?).

  4. Re:Of course, Monty Python reference. by Warpedcow · · Score: 5, Interesting
    Wasn't discovered a few years ago that there was a prevailing low Bb (lots of octaves below the tuba range) sounding through the universe?

    Many electronic appliances and lights give off a very low db B-flat hum (at least in the US) because of the 60hz frequency in the electricity here (60hz = Bb). I suppose in Europe it's a different pitch (50hz).

    Anyway, because of this constant Bb that we're all subconsciously bombarded with, most people, when asked to hum ANY pitch, will hum a Bb!! (Learned this in a music class at college)

    --
    moo
  5. Symmetry by eclectic4 · · Score: 2, Interesting

    "At the other end, the horn flares out, but not for ever - if you could fly towards the flared end in a spaceship, at some point you would find yourself flying back in on the other side of the horn."

    and... "At an extreme enough point, you would be able to see the back of your own head."

    This is an example of symmetry, something that is paramount in keeping when explaining shapes of the Universe. Just had to point this out...

    --

    "The greatest obstacle to discovery is not ignorance - it is the illusion of knowledge." - Daniel Boorstin
  6. mmm, donuts by gobbo · · Score: 2, Interesting

    Whatever happened to the theory (IANAP) that the universe, at least as described by our limited understanding of dimensions, was shaped like a toroid? I seem to recall this as a popular (as in popular science) theory a decade ago.

  7. Re:Why Classify? by TwistedGreen · · Score: 2, Interesting

    Why couldn't an object have only one side?

  8. infinitely long and yet finite volume? by John_Sauter · · Score: 3, Interesting
    One end is infinitely long, but so narrow that it has a finite volume.
    Could someone who is mathematically-inclined help me with this? How can comething be infinitely long in one of its dimensions without having an infinite volume?
    John Sauter (J_Sauter@Empire.Net)
    1. Re:infinitely long and yet finite volume? by doublebackslash · · Score: 3, Interesting

      Two words from calc Two: Gaberiel's Horn.
      Rotate f(x)=1/x around the y-axis and x between 1 and infinity is the horn. Finite volume (Pi something), infinite surface area. It could never hold enough paint to cover the insidde of the can =).

      --
      md5sum /boot/vmlinuz
      d41d8cd98f00b204e9800998ecf8427e /boot/vmlinuz
  9. intuition by Anonymous Coward · · Score: 2, Interesting

    It is considered more philosophically pleasing for the universe to have finite volume (rather than infinite)?
    The concept of a universe with no beginning in time might be un-pleasing because it could mean an infinite amount of time has passed until this moment, which seems absurd. But I don't see any similar paradoxes with infinite volume. Nothing has to travel an infinite distance to get where it is. Nevertheless, it seems the finite volume aspect of this model is one of its proposed selling point. Can anyone explain?

    1. Re:intuition by WoodenRobot · · Score: 3, Interesting

      Olber's Paradox.

      Check out the entry in E2.

      It's not necessarily a problem, though and may have various solutions - some of which are mentioned in the write up and the accompanying links. Of course the Big Bang has its own fair share of paradoxes, since it's basically creation ex nihilo. Now that's a philosophical no-no if ever there was one.

      --
      ---
      "I did nothing. I did absolutely nothing and it was everything that I thought it could be."
  10. Re:Out side the horn by maxwell+demon · · Score: 2, Interesting

    According to current theory, there is no outside of the universe.

    That is, it's not just, that there is nothing outside of the universe, but "outside of the universe" itself doesn't exist.

    --
    The Tao of math: The numbers you can count are not the real numbers.
  11. Klein Bottle by jmpoast · · Score: 3, Interesting

    Maybe the universe is shaped like a klein bottle? The curvature at the end would be similar to the 'horn' model and it would explain the 'turning around' that allegedly occurs at the edge of the horn. Just trying to imagine traveling in a klein bottle is making my head hurt though.

  12. Re:Look at the data by Surazal · · Score: 2, Interesting

    Not quite... they're talking in strictly spacial terms. When they say the Universe is shaped like a trumpet, they mean literally like a trumpet.

    Yours was my first impression too until I read the first few paragraphs.

    --
    --- Journals are boring; Go to my web page instead
  13. A "Picard topology", eh? by HorsePunchKid · · Score: 4, Interesting

    I've ranted here before about the shoddy reporting that the New Scientist does. It's very curious to me that the only matches on Google for "Picard topology" are from this article. Can anyone shed some light on this situation? Picard groups are certainly well-known enough. If nothing else, it's something to be skeptical about. Is this really so new that nobody has ever mentioned in on the web, or is it just poor terminology? (Note that one of the scientists is quoted as using that term, but it's phrased in a way that makes it sound like the reporter put words in his mouth.)

    --
    Steven N. Severinghaus
  14. Re:What shap haven't we had by divisionbyzero · · Score: 3, Interesting

    A Klein bottle? If you took the end of the funnel and passed it back through itself it would look just like a klein bottle:
    http://mathworld.wolfram.com/KleinBottle. html

  15. Re: by clarkcox3 · · Score: 4, Interesting

    Then your banjo was out of tune. 60Hz is actually closer to B-natural, the B-flat in that octave is actually 58.27 Hz (assuming a tempered A 440 tuning), while B-naturral is 61.74 Hz.

    --
    There are no tiger attacks in my area and it's all because this rock I'm holding keeps the tigers away.
  16. Re:Why Classify? by Anonymous Coward · · Score: 4, Interesting

    Why do we continue to classify the shape of the Universe?

    Because knowing more about the universe allows us to narrow down the possibilities of existence. For instance, if this new story is actually the case, it means that the universe is finite. So far there has been no real evidence that the universe is finite, leaving open the possibility that the universe is infinite. (i'm talking the universe here, not just our hubble volume)

    If the universe is infinite, you necessarily have an infinite number of identical copies of you, living exactly the same life you are. You can even make a rough estimate about literally how far you are away from your nearest "twin". (s/he is 10^(10^28) metres away from you) Read the article at scientific american. It is online somewhere, but here is the abstract

    See how physics is so closely tied to philosophy? That's why physics used to be called "natural philosophy". Knowing more about the universe allows us to...well, know more about the universe, and hence, the philosophical implications.

    Knowledge is good.

    cheers!

  17. Re:What shap haven't we had by buckeyeguy · · Score: 2, Interesting

    An hourglass... two funnels connected together.

    --
    I'd have a personalized plate on my car, but "toxic bachelor" won't fit into 7 letters.
  18. Re:A funnel now? by Feanturi · · Score: 5, Interesting

    The article made me think of this gem:

    'Alright,' said Ford, 'imagine this. Right. You get this bath. Right. A large round bath. And it's made of ebony.'
    'Where from?' said Arthur, 'Harrods was destroyed by the Vogons.'
    'Doesn't matter.'
    'So you keep saying.'
    'Listen.'
    'Alright.'
    'You get this bath, see? Imagine you've got this bath. And it's ebony. And it's conical.'
    'Conical?' said Arthur, 'What sort of...'
    'Shhh!' said Ford. 'It's conical. So what you do is, you see, you fill it with fine white sand, alright? Or sugar. Fine white sand, and/or sugar. Anything. Doesn't matter. Sugar's fine. And when it's full, you pull the plug out... are you listening?'
    'I'm listening.'
    'You pull the plug out, and it all just twirls away, twirls away you see, out of the plughole.'
    'I see.'
    'You don't see. You don't see at all. I haven't got to the clever bit yet. You want to hear the clever bit?'
    'Tell me the clever bit.'
    Ford thought for a moment, trying to remember what the clever bit was.
    'The clever bit,' he said, 'is this. You film it happening.'
    'Clever,' agreed Arthur.
    'You get a movie camera, and you film it happening.'
    'Clever.'
    'That's not the clever bit. This is the clever bit, I remember now that this is the clever bit. The clever bit is that you then thread the film in the projector... backwards!'
    'Backwards?'
    'Yes. Threading it backwards is definitely the clever bit. So then, you just sit and watch it, and everything just appears to spiral upwards out of the plughole and fill the bath. See?'
    'And that's how the Universe began is it?' said Arthur.
    'No,' said Ford, 'but it's a marvelous way to relax.'

  19. Primal hum of the electrical grid by Bikku · · Score: 2, Interesting
    Interesting side effect of the difference in AC power frequencies between US (60 Hz) and Europe (50 Hz). I recall reading about a study that asked groups of participants to mediate and then collectively hum a tone of "primal unity"

    The USian group centred on a B-flat (multiple of 60 Hz), while the Europeans centred on an A-natural (multiple of 50 Hz).

    Hardly qualifies as a controlled study. But still suggestive that the background EMF frequency and device hum has some unconcious influence on the psyche?

  20. Laboratoire Emile Picard by Ra5pu7in · · Score: 2, Interesting

    How very strange - my Google search came up with several references to the Picard Theorem's from Laboratoire Emile Picard. Of course, these were in French, so perhaps filtering is to blame.

    --
    I was taking one day at a time, but then several days got together and ambushed me. (from a Rhymes with Orange comic)
  21. Re:Of course, Monty Python reference. by seanmeister · · Score: 2, Interesting

    Back in the navy, I spent many-a-midwatch on an aircraft carrier standing next to 60Hz, 4160V power panels, playing slow harmonica melodies on top of that 60Hz hum. :-)

  22. Serious Question From the Ignorant by Luveno · · Score: 1, Interesting

    If the universe has a shape, doesn't that imply it is contained within something? What would that something be?

  23. Re:Of course, Monty Python reference. by nexthec · · Score: 2, Interesting

    still wrong, but closer with the 120 Hz, at 60 Hz most people have hard time hearing the sound. The noise is created by the real power (p=v*i) the multiplication of the voltage and the current both 60 Hz waveforms. When you multiply two sine waves together you get a doulble frequency and a half frequency component. That is what you are hearing

  24. Hasn't it always had that shape???? by spectecjr · · Score: 2, Interesting

    Take the big bang. Infinitesimal point.

    Explode that shape over time.

    Now look at it four dimensionally...

    Surely you end up with an r^2 curve rotated through 3 dimensions, with r on the time axis... ... which looks exactly like a horn.

    --
    Coming soon - pyrogyra
  25. Greg Bear beat them to it by ralphclark · · Score: 2, Interesting

    In "Eternity", the sequel to "Eon", Ser Olmy returns to 21st(?) century Earth having taken a *very* long round trip via the opposite end of the universe - which turns out incidentally to have been be horn shaped - in the traditional sense of a curved or rolled up tube with a wide bell-like flaring at one end.

    So there.

  26. But that means by Golobarti · · Score: 2, Interesting

    That faster then light travel is possible. All you have to do to achieve it is jump from one loop of the horn to another outside of the universe. The tighter the loops the more shortcuts are possible. Problem solved. Now if I can only get this antigravity module to start working....

    --
    Do not look into the laser with remaining eye.
  27. geometry versus "dark energy" by peter303 · · Score: 2, Interesting

    Some physcists such as Alan Lasserby suggest mysterious forces can be explained by slight pertubations of Euclidean geometry on a universe-size scale. This could explain the anti-gravity force called "dark energy". Its thought to compromise 70% the "stuff" in the universe, but obliviated by a geometric explanation.

  28. Gabriel's Horn by Zen+Programmer · · Score: 2, Interesting

    The Picard topology sounds like what was referred to in my math class as Gabriel's Horn.

    An apparent paradox concerning this shape's infinite interior surface area and finite volume is that one could never paint the entire surface area, but could simply fill it paint, thus painting it. However, the resolution to this paradox is that since the horn's diameter eventually becomes smaller than that of a paint molecule, that part of horn could never be painted.

  29. Universes Behaving Badly by billstewart · · Score: 3, Interesting
    Sure, science cares about observing how things behave, but it does that in the context of making hypotheses about what's really going on, which go way beyond what we expect to actually be able to observe.


    Sometimes the universe just misbehaves and fails to cooperate with your theories, which is when science gets to be fun - either your theories are thoroughly bogus, or they're slightly incorrect approximations, and this influences whether your previous models are or are not useful.

    --

    Bill Stewart
    New Fast-Compression-only CPR http://preview.tinyurl.com/dy575ks