Hi everyone, I’m Hammad Masood from Pakistan.
In the mind of every mathematical student,
a question arises after studying complex numbers
that what is iota?
What its nature?
What is the concept behind it?
If you get the concept of iota, you will also
be able to understand the great mystery of
physics, dark matter in a better way.
So, let’s begin it.
When we want to resolve the expression under
root minus one, we fail.
So we name it “iota”.
The problem solved, not really.
We know that iota is equal to under root minus
one but what its nature?
Let’s see it graphically.
When we apply under root operation on minus
one, its direction changes from real axis
to imaginary axis, exact ninety degrees.
Now come toward the projection, the projection
of these two orange lines on x axis is shown by
this white line.
Similarly in this case, the projection of
orange line which is perpendicular is this
white dot. So the projection of imaginary axis
which includes all imaginary numbers on real
axis is zero which is the value of imaginary
numbers on real axis and vice versa.
Therefore there is nothing in common between
these numbers or their sets are disjoint or
non-overlapping.
As the nature of imaginary numbers or iota
is perpendicular to real numbers, so it has
no effect on real numbers.
Now you are thinking that what is the relationship
between dark matter and this topic?
So let’s have a look.
It was 1933, when a scientist name Fritz Zwicky
use the word ‘dark matter’ when he encountered
the presence of unknown matter in the Coma
Galaxy Cluster.
He observed that the gravity of mass calculated
by the luminosity of galaxy is not sufficient
to hold the galaxy in its proper shape.
Its gravity was not satisfying the observed
data.
And on the other hand, the observed data was
telling that gravity is many times stronger
so there is much more mass out there.
This difference in real and calculated mass
is due to dark matter which cannot be seen
by our eyes.
We can see only ordinary matter from which
we are made up of.
The dark matter is a very complex thing to
understand because of its nature but imaginary
numbers can help us understand this weird
behavior of it in a very simple way.
Just like real and imaginary numbers, the
ordinary and dark matter are perpendicular
in nature.
What it means?
Have a look.
The dark matter doesn't interact with ordinary
matter.
If they are moving toward each other, they
will not collide but pass from each other.
The dark matter will only interact with dark
photon or other dark matter.
The photon will also pass from dark matter
without interaction.
The only way dark matter interacts with ordinary
matter is by gravity.
The dark matter will bend light under gravitational
influence.
When the dark matter decays, it releases gamma
rays which are related to ordinary matter,
just like iota x iota gives a real value.
In simple words, if 1 is equal to ordinary
matter then -1 is anti-matter, iota is dark
matter and minus iota is anti-dark matter.
The most considerable theory about dark matter
is supersymmetry.
According to it, for every particle there
is a shadow particle which is invisible.
If a particle is 1 then its shadow particle
is iota.
According to supersymmetry, all particles
of standard model have shadow particles and
all these shadow particles made the dark universe.
Good Bye and thanks for watching the video.
