So could there really be higher dimensions?

Factual Questions
41

[QUOTE=Whack-a-Mole]
To specify a point in 3d space you use three coordinates (length, width, height). However you can also specify a fourth coordinate…the time coordinate.
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OK, you mean that you need four coordinates to specify the location of a point in space-time. I agree with this, but I don’t see how it’s any different from any other four-dimensional space.

[QUOTE=Chronos]
One analogy that Einstein used: If we’re measuring the surface of a flat tabletop, using identical little metal rods, we’ll find that we can arrange all of the rods in a perfect square grid, with all of the angles 90 degrees. Based on this, we could say that the tabletop is flat. But suppose that part of the table were heated, such that rods on that part of the table are slightly longer: Now, we won’t be able to lay all of our rods out in that regular grid, any more. If we’re using those metal rods as the definition of our measurement standard, then we could say that the tabletop is no longer flat. But this does not in any way imply anything about any dimensions of space beyond the two dimensions of the tabletop.
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Now that’s an interesting explanation.

42

[QUOTE=Hypnagogic Jerk]
OK, you mean that you need four coordinates to specify the location of a point in space-time. I agree with this, but I don’t see how it’s any different from any other four-dimensional space.
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Well, I presume in four dimensional space you would still have a time component making it 5D space/time. In 4D space you could still want to specify a “when” as well as a “where” (the “where” being a 4D spatial coordinate).