Hypergeometrical Cooper Pairs and Superconductivity and Hund' Law
- By Marco Pereira
- Published 04/20/2008
Marco Pereira
My background is scientific with a BSEE(ITA), MSc in Nuclear Physics (ITA), PhD in Physical Chemistry (UPENN), Post-Doc (U of Rochester), MBA (NYU). I was a professor of Molecular Biophysics at the Albert Einstein College of Medicine in NYC. Currently working in Quantitative Finance in Wall Street.

Hypergeometrical Cooper Pairs and Superconductivity
I
was invited to represent the student body at the celebration of the 50
Years of the Laboratory for the Research of the Structure of Matter at
Penn. It was an honor and I was dazzled by the sights of the Fathers of
Quantum Mechanics in academic regallia.
I sat on my chair
waiting for the beginning of the talks. The gentleman on my side
decided to make small talk with that young student- the little me...:)
He mentioned his name:Schrieffer... I immediatelly said, " Well, I only
know one Schrieffer- from Bardeen-Cooper-Schrieffer (BCS)
Superconducting Theory... "
I don't really remember what did I
say afterwards, but I know that I displayed way too much reverence and
poor Bob Schrieffer felt unconfortable and managed to scape...:)
I know for sure that I was hyperventilating...:)
What
can I say. I was a naive, wide-eyed student, full of admiration and
respect for my fellow scientists and mainly for the visionaries who
brought us to our present understanding... I didn't know that I had to
play it cool, not to disturb the scientific celebrities...:)
Today,
I am going to explain the why there is a formation of a Cooper Pair,
that is, why two mutually repulsive electrons would agree to walk
togetther in a correlated manner...:)
Not unlike in the case of
Alan Guth's Inflation Theory of the Universe, the formation of a Cooper
pair requires the absolute turning off of all critical sense in your
Brains...:) Equally charge particles are mortal enemies and repeal each
other with a force singularly dependent upon their distance..:) That
is, the force goes to infinite when they are close..>:) Infinite!!!!!
That bitter pill is gilded by words like "One build a Boson out of two Fermions"...:)
This sounds great but it doesn't mean anything..:)
This
would mean something if there were a logical link between spin and
charge...:) Current Science has no such logical connection.
My theory provides the logical link between spin and charge.
I
hope you will pay the required attention to understand that the reason
why you can place a bunch of Hypergeometrical Cooper Pairs close
together is because their net interaction is ZERO and it is not because
you called it a Boson nor because the pair has zero spin!!!...:)
You
know, the Electron was always a Fermion until BCS came up with the
concept of Cooper pair. This is a dress-up but it doesn't provide any
substancial explanation why a Cooper pair doesn't interact. In this
very short blog, I provided such explanation and eliminated the need to
dress an Electron as a Boson...:) This doesn't mean anything and
doesn't provide any physical insight that will allow for the creation
of Room Temperature Superconductors or other more relevant discoveries.
Any
dilator has spin otherwise it would had recombined with its antidilator
and returned into Nothing...;) The Universe is composed only of
dilators which can get together to make things that does not apparently
spin. It is just appearances. Things always spins...It just happens
that two four-dimensional spins can be seem in three dimensions as a 3D
pseudo-rotation..:)
The physics is invisible to your eyes and
instruments. It can only be seem with the eyes of the mind... and I
have some teardrops to clarify this subject...:)
As I did in Newton First Law, I will provide the Why? You know that Why is the question that will destroy any Cybernetic Supercomputer Hell Bent on World Domination...:)
Why is
normally left to Theology and in Science it is always dressed up as a
Principle (Equivalence Principle in Quantum Mechanics or
Gravitation/Inertia, or Hamilton Principle etc) or sometimes it becomes
a Conjecture..:) which is the lowest level of scientific speculation...
What
I am detailing here has already been mentioned in my papers and books
but I guess it is always worthwhile to draw a picture...:)
Let's draw the two electrons with opposing spins:
You
might notice something different between the two electrons. When they
spin in different directions they reach different mid-points. In the
spin 0.5 electron, the next state is an antiproton on its side, while
it is a proton in the spin -0.5 electron (or vice-versa depeding upon
definition). Of course, here we have two electron and two anti-electron
phases repeling each other but we also have two proton-antiproton
phases attracting each other... Thus the net repulsion is ZERO...:)
That is much smaller than INFINITE ..:)
From Antenae Theory you
should also notice that since the Proton and Antiprotons are sideways,
their attraction will only be felt in close proximity...:) Near-Field
is the correct terminology...
This means that there is a difference between having two electrons with the same spin and two of opposing spins.
As in the Little Prince blog, What is essential is invisible to the Eyes
The difference happens to be observable only in the four dimension and only when we don't have a material existence...:)
This
difference is not some obscure and unexplained exchange energy..:)
Instead one has an electrostatic interaction between Protons and
Antiprotons in a four-dimensional spatial manifold. The subject of
binding energy is to be studied by adding a relative kinetic energy
(temperature) to the pair. A Cooper Pair with a non-zero temperature
will have a net interaction that can be calculated by magnetism, and
thus can be calculated in the spacetime side of the Hypergeometrical
Universe Icon above. Please read the paper or books to understand how
magnetism is modeled in hypergeometrical terms.
That, in a nutshell, is the reason WHY there are Cooper pairs...
It is also the physical reason for the exchange energy in Quantum Mechanics.
Cheers,
MP
PS-
Next I will start with how to calculate the Mass (3D Volume overlap) of
a Neutron... I will follow with the Hyperons and all isotopes..:)
This is how you will be able to design the stable new elements for your spaceships...:)
