Dimensions

Hah, so you guys were arguing the same side and just didn't know it.  

I believe it is a matrix operation...?  You might have to refer to your advanced physics class for the special case of four-vectors.  I'm pretty rusty.  

I think it would be sqrt(3) / 2 times the speed of a stationary clock.  Which is 87% of normal speed.

Did I make any sense?

Yeah: reversing the flow of time is only useful if we don't regress in our actions and memories with it.

Time travel would have to be more of a jump than a change of direction, I guess.

Quote from: BOGWarrior89 on September 10, 2007, 09:32:20 PM

You forgot time.

That's an Einsteinium Dimension.  We're referring solely to spacial dimensions.

Quote from: Trekky0623 on September 10, 2007, 09:42:18 PM

Quote from: BOGWarrior89 on September 10, 2007, 09:32:20 PM

You forgot time.

That's an Einsteinium Dimension.  We're referring solely to spacial dimensions.

Quote from: EvilToothpaste on July 15, 2009, 10:35:26 PM

Time travel would have to be more of a jump than a change of direction, I guess.

You mean like applying time dilation between the two ends of a wormhole?

Incidentally, I had an interesting idea regarding this: suppose you had two ends of a wormhole, A and B, with a time difference of t between them - B being the one farther into the future, so that you go from A to B to move forward through time and vice versa. Now, if we place wormhole A inside wormhole B, it will come out of wormhole A at some point in time t before it was placed into wormhole B. That is to say, we can double the time difference between a pair of temporally separated wormhole portals by placing one inside the other.

More generally, we can increase the time difference between two temporally separated wormhole portals t₁ apart by passing one of them through another pair of temporally separated portals t₂ apart. If we pass both of them through this gate in opposite directions, we can achieve a temporal separation of t₁ + 2t₂. So, we could obtain a time machine with years in between the two portals by simply flying one portal around the Earth and then effecting repeated applications of this technique, as opposed to the conventional "wait seventy years for a rocket to fly to some faraway place and back at near light speed".

Now all we need to do is invent a wormhole.

Your brother make that, too?

Wow, my head.

what about the Calabi-Yau dimensions?
I realize that the dimensions in the OP are mathematical constructs, but is their any easy way to visualize and understand the rolled up dimensions of string theory?
for example, if something were to move in the 4th spacial dimension, would it still be visible?

Quote from: Thevoiceofreason on February 23, 2011, 12:01:08 PM

what about the Calabi-Yau dimensions?
I realize that the dimensions in the OP are mathematical constructs, but is their any easy way to visualize and understand the rolled up dimensions of string theory?
for example, if something were to move in the 4th spacial dimension, would it still be visible?

Calabi-Yau manifolds are used by string theory because they provide the required symmetry for the 'strings' to have resonance, which probably over complicates things. I think it might be easier if you tried to imagine the fourth dimension like another axis on a graph that you can't see. For example if you look at a 2D cross section of a graph, it doesn't not show you the other dimension unless you either move it within that plane.

Translate that to a 3D graph and the only way to see the fourth dimension would be to move it within that plane as well.

If something where to 'move' in the fourth spatial dimension you wouldn't see it.

Quote from: DDDDAts all folks on February 24, 2011, 11:12:28 AM

Quote from: Thevoiceofreason on February 23, 2011, 12:01:08 PM

what about the Calabi-Yau dimensions?
I realize that the dimensions in the OP are mathematical constructs, but is their any easy way to visualize and understand the rolled up dimensions of string theory?
for example, if something were to move in the 4th spacial dimension, would it still be visible?

Calabi-Yau manifolds are used by string theory because they provide the required symmetry for the 'strings' to have resonance, which probably over complicates things. I think it might be easier if you tried to imagine the fourth dimension like another axis on a graph that you can't see. For example if you look at a 2D cross section of a graph, it doesn't not show you the other dimension unless you either move it within that plane.

Translate that to a 3D graph and the only way to see the fourth dimension would be to move it within that plane as well.

If something where to 'move' in the fourth spatial dimension you wouldn't see it.

The way its described though, implies that its not in the same league with 1,2, and 3, so to speak. As in, is there a world with a x,y,v dimensions, sharing our x and y, that works in the same way as our x,y,z?
because I've heard its wound up tightly.

Quote from: Trekky0623 on September 10, 2007, 08:54:17 PM

Rotating:


This shape is know as a tesseract.  It has four dimensions consisting of the normal dimensions of length, width, and height and also consisting of a fourth dimension which we will call ?.  Once again this is a shadow.  You cannot point in the direction of the fourth dimension because it is something else rather than the normal up, down, left, right, forward, and back.  We can still project it though, but only as a shadow with inaccurate measurements.

I used to draw pictures like this when I was bored in school.  I'd get them up to 10 dimensions.   I figured out how to do it and that what I was drawing was multi-dimensional cubes on my own.  I also used to do it with pyramids.

I could never figure out a good way to do it with spheres since there are no vertices.

My brother made this picture. 

The shadow analogy is apt in explaining how the 4th and 5th dimensions are still 3D objects but operating in 3D space in a manner which doesn't allow an observer to perceive the higher dimensional reality of the cosmos (given its a torus) because the stretching wavelengths exceed the cohesive threshold of sensory perception so outer space is stretched and the light travelling in those areas cannot resonate with the eye... so at any given time an individual can only perceive the local segment that they exist on a as a 3D gradient which is not warping - even though it is in the wider picture; they warp with it so they can see the local wavelengths as relatively normal.