Something Cool
1D – Land: Can move only left or right along the line

This line might exist in some container, perhaps like this:

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The 1D-World
Or like this:

Or this:

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The 1D-World
Or perhaps, 1D-Land exists in 3D-Land:

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The 1D-World could be a
Circle
Or perhaps 1D-Land isn’t a line at all, but rather a curve

Or better yet, a circle:

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The 1D-World could be a
Circle
Hence, 1-D worlders can move forward or backwards along the circle

And travel infinitely, wrapping around the circle many times if they
wish.

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2D-Landers
If we extend this to 2D-Landers who can only move along the surface:

Eventually, they can cover the entire surface, wrapping and looping.

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3D-Landers
In a sense, humans were 2D-worlders until flight came along.

But now we are as we truly are: 3D-worlders.

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Worlds are boundlessly infinite
The universe that contains us, however, is a lot like the container of a
circle containing its 1D-worlders.

Although the circle is actually 2D, its inhabitants are those who live on
the surface, and are 1D-worlders

Humans are 3D-worlders that live on the surface of a 4D-container
called the universe.
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Something Cooler
Objects in space can travel infinitely. But the universe as a container is
finite. Like the 1D-worlders living in the 2D circle, they travel infinitely
and wrap in a loop.

Let’s visit something truly cool, next.

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Dimensional Gateways
Imagine we want to get from point A to B:

A
B

The distance from A to B is the length of that arc between them. But
what if we could do this instead:
A
B
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Dimensional Gateways
By definition, this direct alternative is shorter. But is it possible for 1Dworlders to take this alternative?

A
B
For the above to be possible, the 1D-worlders must be able to turn and
face, in a direction which they cannot face – along a second dimension.
But once they have made that turn, they exist along the line segment
between A and B, which itself, is a 1D-Land.
And they travel to point B, until they must make another “2D-turn”, to
get re-oriented back on their original 1D-Land, the circle.
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Dimensional Gateways
How does this apply to the real, 3D-world? It means we can shorten
travel through space, if we could travel along some extra-dimensional
path, shortening the gap between points.

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Bending the universe
Let’s go back to the 1D-worlders on the circle. The circle is a
container. The shape of this container is irrelevant to the 1D-worlders.
Suppose it can be changed?
A
B
If we want to travel between points A and B, then we should change
the shape of the circle so that it’s more like this; hence minimizing the
distance traveled nearly to zero:
A
B
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Is it possible?
But the biggest questions remain, and may yet prove only to be a work
of science-fiction.
- Can we turn and face into the extra-dimensional alternative path?
- Can we bend and shape our worldly container as desired?
If yes, then what has been made possible through this “dimensional
gateway”, is effectively a means to get anywhere in the universe in
mere instants.
And in the sense, this achieves time travel, in the sense of out-pacing
the speed of light.

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Something cool

  • 1.
    Something Cool 1D –Land: Can move only left or right along the line This line might exist in some container, perhaps like this: 11/5/2013 1
  • 2.
    The 1D-World Or likethis: Or this: 11/5/2013 2
  • 3.
    The 1D-World Or perhaps,1D-Land exists in 3D-Land: 11/5/2013 3
  • 4.
    The 1D-World couldbe a Circle Or perhaps 1D-Land isn’t a line at all, but rather a curve Or better yet, a circle: 11/5/2013 4
  • 5.
    The 1D-World couldbe a Circle Hence, 1-D worlders can move forward or backwards along the circle And travel infinitely, wrapping around the circle many times if they wish. 11/5/2013 5
  • 6.
    2D-Landers If we extendthis to 2D-Landers who can only move along the surface: Eventually, they can cover the entire surface, wrapping and looping. 11/5/2013 6
  • 7.
    3D-Landers In a sense,humans were 2D-worlders until flight came along. But now we are as we truly are: 3D-worlders. 11/5/2013 7
  • 8.
    Worlds are boundlesslyinfinite The universe that contains us, however, is a lot like the container of a circle containing its 1D-worlders. Although the circle is actually 2D, its inhabitants are those who live on the surface, and are 1D-worlders Humans are 3D-worlders that live on the surface of a 4D-container called the universe. 11/5/2013 8
  • 9.
    Something Cooler Objects inspace can travel infinitely. But the universe as a container is finite. Like the 1D-worlders living in the 2D circle, they travel infinitely and wrap in a loop. Let’s visit something truly cool, next. 11/5/2013 9
  • 10.
    Dimensional Gateways Imagine wewant to get from point A to B: A B The distance from A to B is the length of that arc between them. But what if we could do this instead: A B 11/5/2013 10
  • 11.
    Dimensional Gateways By definition,this direct alternative is shorter. But is it possible for 1Dworlders to take this alternative? A B For the above to be possible, the 1D-worlders must be able to turn and face, in a direction which they cannot face – along a second dimension. But once they have made that turn, they exist along the line segment between A and B, which itself, is a 1D-Land. And they travel to point B, until they must make another “2D-turn”, to get re-oriented back on their original 1D-Land, the circle. 11/5/2013 11
  • 12.
    Dimensional Gateways How doesthis apply to the real, 3D-world? It means we can shorten travel through space, if we could travel along some extra-dimensional path, shortening the gap between points. 11/5/2013 12
  • 13.
    Bending the universe Let’sgo back to the 1D-worlders on the circle. The circle is a container. The shape of this container is irrelevant to the 1D-worlders. Suppose it can be changed? A B If we want to travel between points A and B, then we should change the shape of the circle so that it’s more like this; hence minimizing the distance traveled nearly to zero: A B 11/5/2013 13
  • 14.
    Is it possible? Butthe biggest questions remain, and may yet prove only to be a work of science-fiction. - Can we turn and face into the extra-dimensional alternative path? - Can we bend and shape our worldly container as desired? If yes, then what has been made possible through this “dimensional gateway”, is effectively a means to get anywhere in the universe in mere instants. And in the sense, this achieves time travel, in the sense of out-pacing the speed of light. 11/5/2013 14