Understanding Dimensions and the Fourth Dimension
Imagine that this folder is a dimensional plane.
Now, assuming that it has no height and no depth, what would this mean?
It would mean that it's a one-dimensional world.
So if, hypothetically, an organism was living inside of it, it would only be
able to move in a linear path forward and backwards in a straight line.
Now,
if we go to the second dimension, we have two dimensions.
We have width, and we have length. So hypothetically, if an organism lived
inside of here, then it would be able to move up, down,
left, right, and
anywhere else in between.
And a two-dimensional world is comprised of an infinite
series of one-dimensional worlds stacked upon each other.
Just as our three-dimensional world, which has depth
and length and height,
is comprised of an infinite series of two-dimensional worlds.
So this-- Now that I have stacked many folders upon
each other,
we have three dimensions. We have depth, we have length, and we have width.
Now, what happens if you keep going on from
here on out?
We would have a four-dimensional world. But what exactly is a fourth dimension?
In order to understand this, we need to understand how dimensions
are perceived.
We live in the three-dimensional world, but despite that, we actually view
things to be two-dimensionally. Take a perfect sphere, for
example. If you're looking at a sphere, it looks just like a regular
two-dimensional circle. The only way that you could tell it's just an actual
sphere
instead of a circle is because of the hues of light on it.
So just like in a two-dimensional world, if a, um,
organism in the two-dimensional world was looking upon a circle, it would-- the
light would make it appear to be lighter at one end and darker at
the middle.
Also, if you-- if an object is moving farther-- closer
and farther away
from you, you don't actually perceive that it's getting closer and farther away.
You see that it's getting smaller or larger, and then you assume that it's
getting either farther away or closer.
But let's say if an object was to grow in perfectly
equilibrium so that it was growing at the same speed
that it was shrinking as you move it farther away, then you would not be able
to tell without any lights or, uh, if there were details on the
object that it's moving or growing at all.
You may have assumed that since we perceive things to be in two
dimensions, that
a two-dimensional o- uh, organism would see in one dimension.
So as we're watching this, uh, rubber band expand,
as it moves farther away from this little, uh, organism in the
two-dimensional world, it's-- does not actually perceive anything is
happening to it because it's growing at the same speed that it's moving farther
away. But since we can actually see it from the
three-dimensional world and
perceive things to be in two dimensions, we can see things
for how they actually are.
The reason that the two-dimensional organism doesn't see things the way they
really
are is because the two-dimensional organism sees things in one dimension,
just how
we three-dimensional creatures see things in two dimensions.
So in a way, we don't really see our world the way it
truly is.
A four-dimensional creature, however, seeing our three-dimensional world in
three
dimensions, would be able to see through things.
It would be able to see absolutely everything, just as we could see if
there was, uh, several organisms spread along a
twoD, um, environment on your floor.
You would be able to see inside houses. You would be able to see inside of people.
So if a two-dimensional world, a flat surface,
is just made of an infinite
amount of, uh, lines, then the
3D world is just made out of an infinite amount of planes.
So the fourD world, logically, is made out of an infinite amount
of 3D objects, though they're not just put
together like, um, you would-- like building blocks.
N- That's not how the fourD world is.
That would just be 3D again. So in order to understand
this, we need to understand the logical
progression
of mathematics in our world.
Imagine that this K'Nex piece represents the first dimension.
It's simply a straight line, which is basically what the first dimension
looks
like. And if you add three
more of these straight lines and connect them to--
so that adjacent sides are perpendicular and
opposite sides are parallel, then you have the basic shape of the
second
dimension. You have a square. Now, if you keep going from here,
and you add four-- add it so that there's a total of four squares,
and all adjacent sides are perpendicular and all opposite
sides are parallel, then you end up with,
obviously,
a cube.
So if you try to keep going from here, and you would have a
four-dimensional basic shape, you would have a, what's called
a tesseract. Now, I cannot show you a
tesseract, but you need to understand that it's basically four
cubes that are within each other that, um, have all
adjacent sides perpendicular and all per--
and all opposite sides parallel, yet there are three
lines connect-- uh, four lines connecting to each vertex.
So a v-- tesseract would look somewhat like this
picture. Now, that-that's not exactly what it looks like
because this is a
two-dimensional depiction, and obviously, not all of the lines are
straight. So I cannot show you what a tesseract
actually looks like because we cannot perceive things in the third dimension.
You cannot even imagine what a tesseract looks like.
You cannot physically-- You cannot in your mind picture the
fourth dimension or a fourth-dimensional shape.
And you can keep going on from the fourth dimension even.
You can go to the fifth dimension, the sixth dimension, the seventy-first
dimension. It doesn't matter. Theoretically, there
are an infinite amount
of spatial dimensions. The common misconception of the fourth
dimension is
that the fourth dimension is time.
Now, while some argue that go— by going forward and
backwards in time, if you move forward the same distance
and backwards the
same, then you would end up in the same place
you started, just like in
the fourth dimension. And while that may seem logical,
if you think about it, it
really doesn't make sense. If you imply that the fourth dimension is
actually time, well, first of all, time is not spatial.
There's a difference between space and time, quite obviously.
And assuming that all dimensions are according to a
pattern, then that doesn't really make sense
either, because
saying the fourth dimension is time,
every dimension has time in it. So that would mean that
the fourth dimension is special in some way,
which doesn't really make any sense.
Another reason this doesn't make sense is that we sl-- very, very,
very slightly travel through time whenever we move
due to the distance, um, that light takes to get to our body.
Now, if a group of astronauts were to get in a spaceship and they
were to go
very, very, very close to the speed of light,
then they would--
and they, they went around in this, um, impossible,
nearly the speed of light spaceship for a few months, and then afterwards they
returned to Earth, they would find that Earth had actually progressed a few
years,
so they had moved forward in time by moving that quickly.
Another interesting concept involving the fourth dimension is that many
physicists and even mathematicians, uh, may say that the
dimensions are very, very slightly curved because if you
really think about it, nothing can be truly, absolutely infinite.
So imagine that a-- the first dimension, the line,
is just very, very slightly curved so that after a very long
time, it will, um, end up creating a circle.
So, um, as suggested by many physicists, if you keep going in the
same direction, then you will end up where you are,
where you
started after a very, very long amount of time, obviously.
And the same thing would happen to the second dimension.
If it's just a square, and then you extend it very, very
slightly in a curve, then it will eventually make a sphere.
And the same thing happens in our dimension, except it will form a very,
very slightly curved, um,
third dimension, which will form a four-dimensional
universe,
basically.
So what this kind of means is that our three-dimensional world is
within a four-dimensional world, and the four-dimensional world is within
a fifth-dimensional world, and so on.
Now, I did say that nothing can be truly
infinite, but if this is true
and a dimension is really within another dimension, within another dimension,
within another dimension, then I'm implying
that there's an infinite amount
of dimensions, which is the only problem I really have with
this theory.
I'm not sure if it ever stops or if
infinite-- infinity is really even possible.
We don't know that.
Thanks for watching my video, and I hope this gave you a better idea of
what the
fourth dimension is.
End of transcript · 1,569 words