Just saying.
Actually somebody who wrote at wikipedia on that page said that. But what it means is that I still don't know what a four dimenstional star is.
Not addressing Minkowski directly, but this is just me talking.
Every dimension implies the one that follows it. A point must have a line to exist; a line must have a plane; a plane must have a cube; a cube must have....?
Mental exercise. Do this physically so your eyes follow and your hands feel, one sentence at a time. Different from thinking it through by reading here.
Take a piece of paper. Draw a point A (1 dimension representation)on the left boundary. Draw a second point B across from it on the right. Draw a line (2nd dimension) between those points. How far is it from A to B if an ant crawls that line? Bend the paper into a cylinder with the line curving around the middle. (3rd dimension). Which is where we stop in our dimensional perception; that line now is a circle. But in the 4th dimension, (aka hyperspace) that line is still straight. And the distance from A to B in actual travel is much, much shorter, (which you can still demonstrate with the ant; just turn him around) because space can be bent in the fourth dimension rather than being linear/cubic in the 3rd. Someday, when we figure out how to detect it, we will learn to manipulate space just like we manipulate the paper now.
There are at least 3 time dimensions as well; we only perceive 1. Follow the logic of this: If you move away from the earth at less than the speed of light, time passes forward (normal) as we measure it. If you travel away AT the speed of light, time effectively stands still (a photon bringing a snapshot of a nanosecond of time with you - picture an extremely accurate clock that you can see at any distance), in sync with respect to the earth, would not change values relative to you.) If you travel TOWARDS the earth at the speed of light, your velocity is such that time travels backwards relative to you (each photon of a nanosecond of time in a line leaving the earth coming towards you; you're smashing through those images in turn (like windows) faster than they can reach you, so you begin seeing earlier and earlier images, and will effectively arrive at a previous time).
That's a 2 dimensional time line on which you can travel in more than one direction; right now, all any of us can experience is 1 dimension, the NOW, which moves in a linear direction, the future, and we only have records of the past, not the past itself.
The 3rd or tau dimension, which we can't detect or perceive, is the one on which all parallel universes exist; the tau is perpendicular to the timeline. When we adjust our perception to detect those, we will be able to begin to manipulate our physical location relative to them, enter them, take time out of time in them, entering and exiting any time line at the point we select. Every dimension implies the one above it, because it must exist in some type of frame, into infinity. There is no dimensional end; there is only limitation of human perception of the next dimension.
Once you're done laughing, consider that the conventional wisdom when Columbus sailed west was that he would go off the edge of the world. Oops!
Your theory fails as is contrary to the accepted theory that there is a diffeomorphism anomaly in every dimension.
Quote: MoscaDid a hyper-black hole spawn the Universe?
I love this stuff.
Good find, and a very interesting read. That theory makes a lot more sense than the Big Bang.
Quote: MoscaDid a hyper-black hole spawn the Universe?
I love this stuff.
I wonder if they have casinos in 4-space where they play craps with tesseracts.
http://en.wikipedia.org/wiki/Tesseract
And wait a minute. Extrapolating downward, does that new theory imply that every time a black hole appears in our 3-D universe, a new 2-D universe is "spawned" at the event horizon? With the possibility of 2-D life?
Quote: beachbumbabsEvery dimension implies the one that follows it. A point must have a line to exist; a line must have a plane; a plane must have a cube; a cube must have....?
A cube must have a fight for love and glory, woman needs man - and man must have his mate. I get it now! [g] That was good, Babs, I'm impressed that you are knowledgeable and comfortable with all that.
Quote:Once you're done laughing, consider that the conventional wisdom when Columbus sailed west was that he would go off the edge of the world. Oops!
I think he at least fell off his rocker. Anyway, I remember from school the thought experiment of the flatlanders, people who lived in a 2-dimensional world and were stuck in it. No experiment would reveal the 3rd dimension, so if they came upon a sphere they only saw a circle. We know there is this third dimension, though, and that it affects the flatlanders even though they puzzle over all kinds of things.
Now, one thing that bugs me about all this is that it requires a priestly caste to summon up all this mysterious stuff and the rest of us just get told how it goes. I would say that if no experiment reveals another dimension then that, no experiments, means it is not science. Well, OK, now we have this thing called Theoretical Physics and it's still science so I can't say that. Seems to me though those folks crave experiments and even build gigantic instruments to do them.
That the big bang might have started with a black hole has probably occurred to everyone. Now this particular version of that theory is getting some traction with some new wrinkles. A star may exist in a 4th dimension along with the other 3, but I don't get why that is essential to this theory. Seems to me that theorists would have gone instead in to the direction of super massive black holes.
Quote: MathExtremist
And wait a minute. Extrapolating downward, does that new theory imply that every time a black hole appears in our 3-D universe, a new 2-D universe is "spawned" at the event horizon? With the possibility of 2-D life?
...or, extrapolating upward, does this new theory mean that the "bulk universe" itself was created out of the collapse of a 5th dimensional star? which was spawned in a 6th dimensional universe, ad infinitum?
Anyway you cut it, it's turtles all the way down.
Quote: Mosca
Can we see two-d universes around black holes in our universe??
We can't exactly see them, but such universes exit. They are called "holograms" and communicate with this universe via a type of radiation that carries no information. These 2-dimensional universes exist within this universe, but are also physically unreachable.Quote: NareedCan we see two-d universes around black holes in our universe??
Wikipedia article
Quote: teliotWe can't exactly see them, but such universes exit. They are called "holograms" and communicate with this universe via a type of radiation that carries no information. These 2-dimensional universes exist within this universe, but are also physically unreachable.
Wikipedia article
For now. :)
Quote: teliotWe can't exactly see them, but such universes exit. They are called "holograms" and communicate with this universe via a type of radiation that carries no information. These 2-dimensional universes exist within this universe, but are also physically unreachable.
I'm not sure this qualifies as a universe. Furhter, I think the holographic universe idea is more than a little out there. Of coruse, the same can be said of quantum mechanics. But then, some rather funny things are going on in QM lately.
Quote: teliotWe can't exactly see them, but such universes exit. They are called "holograms" and communicate with this universe via a type of radiation that carries no information. These 2-dimensional universes exist within this universe, but are also physically unreachable.
Wikipedia article
Does this not need a belief in string theory first ?
Quote: BuzzardDoes this not need a belief in string theory first ?
Why, are you a String Theory atheist?? :)
Actually the big push behind the holographic universe idea comes, in part, due to the fact that both string theory and loop quantum gravity theory require it.
Quote: teliotWe can't exactly see them, but such universes exit.(exist)
At least I assume that is a typo, since the subject is so far over my head that it may not be [g]
Hooray for Buzzard for throwing in those curveballs!
As for those 2-d universes I am contemptuous of any flatlanders like that ... surely I can feel superior to dumbasses who don't know up from down!