Klein Bottle |
A few days ago, astronomers announced that they have discovered the most distant object from Earth ever seen. Actually, they waffled a little and said that they think that it might be, possibly, a galaxy, or not, maybe. UDFj-39546284, the maybe-galaxy, is believed to be 13.2 billion light-years (LY) away -- which is to say that it took light that many years to reach Earth from wherever that galaxy was at that time. Who knows where it is now. To figure out this distance in kilometers, one takes the speed of light (300,000 km/sec; 671 million MPH) and multiples it times the number of seconds over the course of 13.2 billion years. You do the math; I'm busy writing this blog. The speed of light is generally expressed as "c". However, I'll refer to it here as SoL for reasons you might be able to figure out on your own.
I now should explain the details of the relationship between SoL and the time-space continuum, but the last time I delved into these topics [see Spooky Action at a Distance: Communication Faster Than the Speed of Light], I got the impression that no one understood anything, and that includes myself. Therefore, I'll try to keep my point simple: The Universe is more like an apple peel than a snowglobe. And it eventually will disappear from view even though it will continue to exist.
Now I'll try to keep the explanation simple, but this will not be simple to do. It is believed that the Universe began with the Big Bang, an event that is yet to be fully understood, about 13.7 billion years ago, give or take a few months. At that moment, in addition to all the atoms and molecules of mass and energy that came into being, Time and Space were also created. To allow for all the space junk that was being spewed out of nothingness, the actual fabric of Space had to expand. And it has continued to expand to this day. Ok, I know I'm already losing some of you, so I'll use metaphors instead:
Metaphor #1: You've glued some golfballs near each other on a basketball. Then you want to move the golf balls away from each other, so you pick them up and move them further apart, and then re-glue them on their new locations. Now all the golf balls are far from each other. This is not how the Universe is expanding. The galaxies are not moving apart from each other by occupying new areas of Space (the surface of the basketball) that were already there.
Metaphor #2: Let's say you have a huge explosion -- a big bang, if you will -- and all of the material that was at the epicenter of the blast is hurtled outwards, like a fireworks display. After awhile, the area is filled with material and sparks spreading outward from a central point, similar to snow inside an expanding snowglobe. This is not how the Universe is expanding. The galaxies are not randomly spreading around, filling up the three-dimensional space from the epicenter to the outer limits of the expansion.
Metaphor #3: Now you've glued a bunch of ping pong balls to the surface of a deflated balloon. You then begin to blow air into the balloon, greatly expanding it. As you you do this, the balls on the surface begin to move away from each other as the surface expands. Each ball is receding from every other ball; none is getting closer to any other. A-ha! This is how the Universe is expanding, but without the hot air, and not all the ping pong balls are white. Oh, and the Universe cannot be twisted by some celestial clown into the shape of a puppy. The galaxies are receding from each other, not because they are hurtling through heretofore empty space, but because Space itself, where the galaxies are "glued" in place, is expanding; and Space is just bringing the galaxies along with it.
But, wait, there's more: Retaining this same balloon metaphor, our known Universe encompasses only the balloon's membrane! There is no "center" of the Universe, a place where we can determine where the hot air came in, where the Big Bang occurred. There is no empty air inside the expanding balloon of galaxies. Instead of the membrane of a balloon, think of an apple peel that's in one piece. It's all curvy, right? And there is no air keeping it in place. In fact, it looks kinda flat, doesn't it? Well, that's our Universe (but without the anti-oxidants and fiber). Some have described the Universe as an expanding muffin, but let's move away from the food metaphors, because now I want a snack.
[4 Dec 2021 update: Sorry, but we are not done with food metaphors after all. I'm beginning to believe that the "expanding muffin" metaphor might be more illustrative than the "apple peel" one. However, I would prefer to talk about raisin-bread dough instead of muffins. Think of a galaxy, for instance, as a raisin in the dough. As the dough is heated, it expands as it becomes bread. All the raisins are moving away from all the other raisins! And the reason they are moving is because the dough substance itself (time-space in this tasty metaphor) in which they are embedded is expanding, bringing the raisins (galaxies) along with it.]
By observing the stars, we have determined that all of them are receding from us; none is coming closer. If we try to determine the path that the galaxies had taken over the millenia to get where they are now and reverse the process, they would all be coming toward us; it would seem that WE are the center of the Universe. However, the fact is that they all are receding from all the others (like the balls on the balloon). Therefore, if the Andromedans in the Andromeda Galaxy observed the same Universe and determined where all the galaxies apparently began, they would come up with the same answer we did -- they would deduce that they are the center of the Universe.
Wow. How can we explain this? I don't know; why are you asking me? I can tell you this: Space is curved. Einstein said so, so it must be true. Thinking again about the membrane of a balloon or the apple peel: Those are curved, right? And if the Universe is like the membrane of a balloon, why is it so hard for you to accept the fact that Space is curved? Also consider the Möbius Strip, a curvy thing that looks like it has two surfaces, but it only has one. Follow the ants in the image above to see what I mean; they never have to hop from one surface to another; it's all one single surface. An even better example is the Klein Bottle (see the image at the top of this blog). It looks very three dimensional, but it also has only one surface. "Regular" bottles have an "inside" surface and an "outside" surface. If you follow a point on the Klein Bottle and move it around, you will see again that there is only one surface, even though your instincts "feel" that there is an inside and an outside.
As with the representation of the three-dimensional Earth by a two-dimensional map, a straight line between two places on a 3D globe looks like a curved line on the 2D map (trust me on this one). That's why a straight flight between New York and Tokyo has to go by way of Canada. Let's face it, no one wants to go to Canada, but they must if they want a shorter flight. I'm kidding, Canada -- however, after I broke the news of your having invaded the Soviet Union [see When Canada Invaded the Soviet Union], readers of this blog might be upset with you.
So how fast is Space expanding? The correct answer is about 71 kms per second per megaparsec. However, I'll provide you with a different answer; otherwise, I would have to explain "megaparsec," and I know that no one wants that. So, my other answer is: It depends. Objects further away from us are receding faster than those that are closer. For instance, a star 30 million LYs away is fading away at about 700 kms/sec., which is a rate of only .23% of SoL. As you go further out away from the Earth, bits of the Universe are traveling ever faster:
- Objects 300 million LYs are receding at 7,000 kms/second (2.33% SoL)
- Objects 3 billion LYs away are receding at 70,000 kms/sec (23.3% SoL)
- Objects 12.857 LYs away are receding at 300,000 kms/sec (100% SoL)
- Objects 13.7 billion LYs away are receding at 319,667 kms/sec (1.65 x SoL)
Hey, wait a second! How can something travel faster than SoL? Nothing is doing that. Just as the objects are moving away from Earth, Earth is moving away from the objects. Even though both objects are moving at sub-light speed, their combined movement apart widens the gap at a speed faster than SoL. [Metaphor alert!] Let's say there are two trains that leave a station at the same time, in opposite directions. They are both traveling at 70 MPH. Although each train is receding from the station at only 70 MPH, the distance between the two trains is widening at 140 MPH.
It's all Greek to me. I'm just a poet.
ReplyDeleteI understand that there are Greek poets.
ReplyDeleteSo... technically things CAN travel faster than the speed of light, just not in relation to stationary things, more or less, yeah?
ReplyDeleteI almost died when I tried looking up megaparsec... My god. I didn't try doing the SoL maths at the beginning, I just took your word for it...
I'm glad you decided to write this down. I couldn't have known what you were talking about in the slightest if you'd just said it verbally instead.
Plenty of fun to read though. I swear you sounded like the Doctor from Doctor Who lol! Oh what I'd give for a TARDIS view of the universe, ey.
There's something that bothers me about the klein bottle though. Just looks like a bottle to me. A fancier way of drinking, perhaps.
BTW, I love Escher. His work is fantastic, and I loved the references. You're a very entertaining blogger! I grinned and laughed and had fun even when I was out of my mind confused on dictionary.com. Nice work and keep it up. Open my mind some more. :)
Glad you enjoyed the blog entry. I main reason I write these things down is because when I do try to explain the concepts verbally, it makes even less sense to me, I lose my place in my thoughts, and I end up talking about the Sunday football scores.
DeleteTechnically, things DO NOT "travel" faster than SoL -- they only appear to. So, the distance between two objects can expand faster than SoL, but the objects themselves are are not traveling that fast.
I am quite pleased to be compared to The Doctor, but I do not own a colorful scarf, bowtie, or a cricket outfit.
As for the Klein bottle, it does kinda look like a fancy wine carafe that must be inclinded on its side. It looks like it could hold liquid if poured through the "hole" on the left side. However, try looking at it this way:
Instead of pouring something in the "hole," picture an ant walking along the surface around the hole and moving along the surface to the right. As the bottle narrows to the right, the ant continues along the outside of the "tube." So far, so good. As the tube moves back to the left, it "enters" the larger part -- assume that there is enough space at this intersection for the ant to continue along the outside of the tube. Eventually, the tube seems to end by exiting through that "hole" on the left. However, our ant is now on the "inner" surface of the wider part of the bottle, moving back to the right. Eventually, the wider part narrows until it becomes the "tube." The ant "enters" the tube and follows through it until it moves back to the left, and the ant exits outside the "hole." The ant started outside the hole, and now is exiting from inside the hole, without ever having left the surface or walking through walls. How'd it do that?
You should have a bowtie. Bowties are cool.
DeleteBut I'm afraid you lost me on the klein bottle. I simply see the larger "hole" from the outside lead down through a narrowing tube, round a bend that sorta "spears" back into itself, and leads whatever is inside the narrow tube into a larger chamber, closed off from the entrance by the outer surface of the internal narrow tube. Yes, even saying it is bloody weird. lol
With the idea of space expanding between objects at a rate fast than light because they are both moving at SoL away from each other, I have to ask about the definition of things moving at all, because it seems that how things move is relative to things around them in the first place. Kinda like how when you stand at the edge of a train track and a train is passing, you feel (like some kind of illusion) that you are moving to, or instead. I'm not sure anything in the universe is standing still, because if any one thing stood still while everything else was moving, everything else might as well think it was moving in some other direction or speed, denying it the definition of standing still or moving, or both both at the same time. And with space expanding between things all the time, how could anything be in the same place even if it tried? I'm not sure I follow any of it. In the end I wonder if time is like an illusion, different in different places, different speeds and at different directions maybe. It has been shown that time can be relative to gravity and the speed of anything subjected to it. I think I could be referring to "time dilation" here.
And also, if solid things can't travel faster than SoL, why can the space between expand faster than SoL? Is it exempt from the rules? :P
I wonder what space and time is really made of. The fabric, so to speak.
What if there is something faster than light, but we can't detect it because all of our methods of analysis require light in some way? It would take something better than a computer that pretty much uses lights to transfer data or anything, and better than our sight, which is also attuned to light in its function. Our brains using electrical impulses might not even be up to the job. What if there is a dimension we're not aware of at all?
Sorry for the babbling. Do you believe in astrology? Because my moon is in Gemini. Can't help talking a lot sometimes. :P
Anyway, I'll keep checking back for updates.
And fezzes are cool.
Yes, "...how things move is relative to things around them...." When you are standing at that train platform, you "appear" to be standing still within your environment. However, your environment itself is moving at incredible speed in relation to other objects. As A.R. Ammons writes in his poem "Cascadilla Falls", after picking up a small stone:
Delete"thought all its motions into it,
the 800 mph earth spin,
the 190-million-mile yearly
displacement around the sun,
the overriding
grand
haul
of the galaxy w/ the 30,000
mph of where
the sun's going:
thought all the interweaving
motions
into myself: dropped
the stone to dead rest:"
So, even a stone at "dead rest" is traveling *at least* 30,000 mph in relation to something else.
As for your question about what space and time is made of, perhaps the Higgs Boson aims to explain that (perhaps with the help of some future blog entry here?).?
I am not a big believer in traditional astrology, and I am never aware of where my moon is at any particular moment.
I'm not too keen about bowties or fezzes; however, I'm anxiously awaiting for the latest wardrobe (John Hurt does not count) to make up my mind about my options.