1. 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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2. The 1D-World
Or like this:
Or this:
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3. The 1D-World
Or perhaps, 1D-Land exists in 3D-Land:
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4. 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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5. 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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6. 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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7. 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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8. 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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9. 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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10. 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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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.
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12. 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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13. 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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14. 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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