4 ms·

Can you travel faster then the speed of light if you use the fourth dimension? (my Internet ping is too high)

by yutah 12y ago

aruss 12y ago
No, mathematically speaking the 4th dimension is no different than the 3 that we are used to dealing with, and is held to the same physical constraints.
- ars 12y ago
  It would certainly looks like you traveled faster than light. But you didn't actually, you just took a "shortcut" as it were.
  - gtremper 12y ago
    There are no shortcuts. The straight line connecting 2 points in 3d space is shorter than any path connecting the points that goes through a higher dimension. The same applies to 2d compared to 3d. If you have 2 points on a sheet of paper, the shortest path is on the paper. Any path that went "off" the paper into the 3rd dimension would be longer, so no "shortcuts".
    - ars 12y ago
      Imagine a strip of paper bent into a U. You can travel from one end of the strip to the other through 3D space with a much shorter distance than along the entire paper.
      - lmm 12y ago
        Sure, but that's not what we're talking about here. We're talking about Euclidean 4D space projected orthogonally onto Euclidean 3D slices, not some nonstandard projection onto some weird 3D surface embedded in 4D space.
        ars 12y ago
        We don't really know that. Let's suppose the universe was really 4D. We don't currently know if the universe is flat or not. A curved universe can be both unbounded and finite which would be very elegant. Einstein proposed a test to find out. I'm hoping this test will eventually be Gravity Probe D (Probe C will be a repeat of the failed Probe B).
        lmm 12y ago
        We're talking about a game. We know exactly what geometry the game world has.
        ars 12y ago
        No we are not. He asked about the speed of light. And the game world has some super weird discrete geometry anyway.
TophWells 12y ago
In the game? No. The shortest distance between two points is still a straight line.

Can you travel faster then the speed of light if you use the fourth dimension? (my Internet ping is too high)

by yutah 12y ago

Can you travel faster then the speed of light if you use the fourth dimension? (my Internet ping is too high)

aruss 12y ago

No, mathematically speaking the 4th dimension is no different than the 3 that we are used to dealing with, and is held to the same physical constraints.

ars 12y ago
It would certainly looks like you traveled faster than light. But you didn't actually, you just took a "shortcut" as it were.
- gtremper 12y ago
  There are no shortcuts. The straight line connecting 2 points in 3d space is shorter than any path connecting the points that goes through a higher dimension. The same applies to 2d compared to 3d. If you have 2 points on a sheet of paper, the shortest path is on the paper. Any path that went "off" the paper into the 3rd dimension would be longer, so no "shortcuts".
  - ars 12y ago
    Imagine a strip of paper bent into a U. You can travel from one end of the strip to the other through 3D space with a much shorter distance than along the entire paper.
    - lmm 12y ago
      Sure, but that's not what we're talking about here. We're talking about Euclidean 4D space projected orthogonally onto Euclidean 3D slices, not some nonstandard projection onto some weird 3D surface embedded in 4D space.
      - ars 12y ago
        We don't really know that. Let's suppose the universe was really 4D. We don't currently know if the universe is flat or not. A curved universe can be both unbounded and finite which would be very elegant. Einstein proposed a test to find out. I'm hoping this test will eventually be Gravity Probe D (Probe C will be a repeat of the failed Probe B).
        lmm 12y ago
        We're talking about a game. We know exactly what geometry the game world has.
        ars 12y ago
        No we are not. He asked about the speed of light. And the game world has some super weird discrete geometry anyway.

TophWells 12y ago

In the game? No. The shortest distance between two points is still a straight line.