The text explores the concept of dimensions, explaining how higher dimensions are built upon lower ones and how our perception of reality is limited by our three-dimensional existence, making it impossible to fully comprehend or visualize dimensions beyond our own.
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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 can tell it's a 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 in 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 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 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 to 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
threedimensional 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. You'll be able to
see absolutely everything just as we
could see if there was uh several
organisms spread along a 2D 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 4D 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. It's
that's not how the 4D 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 connects 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
obviously
a cube.
So if you tried to keep going from here
and you would have a fourdimensional
basic shape you would have a what's
called a tesseract. Now I cannot show
you a test raact 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 par and all opposite sides
parallel yet there are three lines
connect four lines connecting to each
vertex. So a tesact would look somewhat
like this picture. Now that that's not
exactly what it looks like because this
is a twodimensional depiction and
obviously not all the lines are
straight. So I cannot show you what a
cessoract actually looks like because we
cannot perceive things in the third dimension.
dimension.
You cannot even imagine what a tesseract
looks like. You cannot physically you
cannot in your mind picture the fourth
dimension or a fourthdimensional shape.
And you can keep going on from the
fourth dimension even. You can go to the
fifth dimension, the sixth dimension,
the 71st dimension. It doesn't matter.
Theoretically, there are an infinite
amount of spatial dimensions. A common
misconception of the fourth dimension is
that the fourth dimension is time. Now,
while some argue that 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 very
very very slightly travel through time
whenever we move due to the distance um
that light takes to get to our body.
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.
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 a
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 the 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
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