Thrombin wrote...
Imagine a hemi-sphere. Imagine a world where someone is only aware of one dimension which is basically backwards and forwards around the circumference of the base of the hemi-sphere.
Yes, they'd see it as an endless straight line. A single axis. However, you hemisphere example is funky because a hemisphere is already three-dimensional.
By travelling in a hitherto unknown dimension it is entirely possible to take a shortcut through the center of the hemisphere and, thus get to the other side in less distance than would otherwise be the case.
Circumference = pi*r^2
Diameter = r^2
Yes, the diameter would be a shorter route if the two points were on opposite sides of the circular plane. With you.
At no time, however, did you have to be aware of the existence of the up/down dimension or alter it in anyway in order to take advantage of that shortcut.
I wouldn't call it the "up/down dimension," but correct... to take advantage of another axis, you wouldn't have to alter it.
You do not have to modify the circular plane in order to travel the diameter, since the circumference has stayed the same. With you so far.
If you need to manipulate the hemisphere to reduce the distance further you could stretch out the plane upon which the base of the hemi-sphere is standing applying a force along one axis only.
... and you've lost me.
A circular plane is a two-dimensional representation of what you've described so far. Should you make the circular plane into an oval by stretching it or squeezing it (the overall shape would be the same, regardless), and assuming that nothing is created or lost, you change the coordinates of
both dimensions encapsulated by the ovoid.
An easier visulation might be something like going from this: O to this: () (and imagining that the area must remain constant)
You are losing X-coordinates, but gaining Y-coordinates. If you were to do the reverse, going from () to O you would gain X-coordinates, but lose Y-coordinates.
You cannot modify one without modifying the other.
This would elongate the bottom of the hemisphere making the shortcut through it that much smaller but, still, at no time did you need to apply any pressure in the up or down direction despite the fact that this direction was an integral part of the whole.
Stretching the one applies pressure to the other. Stretching the other applies pressure to the one. They are equal and opposite.
If you don't believe me take a square towel and stretch two of the opposing corners away from each other. You'll notice that the two corners you're not stretching come closer - as you say. You are not, as you say, pushing them towards each other in any way ("applying pressure"). However,
that doesn't mean they are
unaffected.
You cannot do something to one axis and leave the other unaffected. Modifying one, in any way, modifies the other.
That's why I don't accept the argument that just because we are manipulating spacetime we must necessarily manipulate the time part in order to achieve a worm hole. It may be the case that you have to but I don't see that it necessarily follows.
You are thinking incorrrectly, then. You started out in a poor position by envisioning a hemisphere when all you needed was a line. Then you added a bridge - which was fine - but described it as the "up/dimension" when a two-dimension universe doesn't have an up or down. You are doing this because you are a three-dimension being and are used to seeing things in three-dimensions.
I recommend starting out simpler. Make your first axis - a line. Make your second axis - a coordinate system emerges.
Now make a shape in that coordinate system - square, circle, octagon - doesn't matter. Now pretend that the area of that shape
has to stay the same. A square is the easiest example here, because you can do it by hand. Now manipulate one of the axis with the constraint that the area
must stay the same.
The coordinates of the other axis will change to compensate.
That's not helpful. If you think I'm misinterpreting something say what you think I'm misinterpreting. It seems perfectly clear to me, not to mention in accordance with the other references that I've read.
The paragraph you quoted basically said, "If you want to time-travel, wormholes are the way to go." It didn't, in any way, imply that wormholes manipulated distance and not time.
The only question that we need to answer is whether the Reapers being capable of creating worm holes would necessitate their ability to deliberately travel in time to any point during the lifetime of the relays. Which was your original objection. If the answer is no then we've finished our discussion and worm holes can be a valid explanation for the relays.
Having the capability does not necessitate that capability's use. Never has, never will.
Depending on your belief about the Universe, traveling backwards in time is fruitless since you can't change the past, or traveling backwards in time merely plops you into another Universe where what you want to change has already occurred. The other option, the one I thought the most obvious plot hole, is a Universe which accomdates changes to the past - so that you could change things in your own Universe - leading to a giant, "Why don't they just kill Shepard before he's born?" enigma.
But, otherwise, yes. If you can create wormholes, theoretically, you should be able to travel through time. Wormholes connect two points in spacetime. What's the difference between a point 0 years and 5,000 lightyears away or a point 5,000 years and 0 lightyears away? Equal (and opposite?) forces at work.
Modifié par Scimal, 19 avril 2011 - 09:41 .